diff --git "a/data/dm_maths/full_data_1/10386_11255.jsonl" "b/data/dm_maths/full_data_1/10386_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10386_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 16, what is -6710 + 0?\nAnswer: -6710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*6\/60*74794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6419, -27278, -62037, -110690, -173231?\n\"Answer: t**3 - 6956*t**2 + 2*t + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/3 - 1. Let m be (-11)\/((-44)\/24) + 2. Let v(k) = -2 - m + 10 + 6*k. What is u(v(s))?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 90585.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.84 + -35. Let u = q + 5.86. Round u to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*i + 116 = 0, -95 - 99 = -3*o + i. Suppose -8*c + o = -c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 4)\/(6\/(-477)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 7\/(-14)*(-12)\/1. Solve x - 8 = -x - 3*n, -2*n - k = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11070 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 168780.\nAnswer: 3713160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-10)*(-375)\/50. Let n be -8 + (3*-1 - (r + 4)). Let j(d) = d**3 + 4*d**2 + 3*d + 4. Let t be j(-3). Put t, n, -3 in ascending order.\nAnswer: n, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12136 and 225868.\nAnswer: 685283512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 449849, 450067, 450285, 450503, 450721, 450939?\n\"Answer: 218*p + 449631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t**2. Let a(d) = -50 + 371*d**2 + 775*d + 50 - 775*d. What is a(y(j))?\nAnswer: 120204*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*d = -6*d + 13, 5*i + 16 = 4*d. Let y = -0.22 + -0.18. Sort 3, y, i in increasing order.\nAnswer: i, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3) + -5*(sqrt(3) + 0))*6)*-2 + -1.\nAnswer: -7 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1183972961 + -0.1\nAnswer: 1183972960.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((12 - -6) + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4407 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 2*s**6\/15 - 7*s**5\/3 - 3*s**4\/2 - 3*s**2 + 20. Solve j(k) = 0.\nAnswer: -1\/4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {f: 1, b: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31.16368ns?\nAnswer: 0.00000003116368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-28512)\/1188)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5487)\/(-5192) - 6\/16. Let r = -63\/44 + m. Suppose 3*i = 6 + 3. Which is the nearest to i? (a) r (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 19. Let n = x - -29. Let k be 1*2\/n*(1 - -2). Solve -2*d + k = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 24. Solve -2*u = -3*j - d*u + 21, -4*j = -5*u - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 52630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 2, n: 5, h: 1, k: 5, z: 4}. Give prob of sequence nhq.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.82 + 16. Let l = 33 + -33.18. Let p = o + l. Is p < 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3137981?\nAnswer: 7, 11, 83, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 30.78 times 2\nAnswer: 61.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 17*u**2 + 1605 - 162 - 15*u**2 - 1443.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/10, -1\/2, -3, 63\/17, 0 in increasing order.\nAnswer: -3, -1\/2, -0.3, 0, 1\/10, 63\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o + 24. Let s(j) be the third derivative of -j**5\/60 - j**4\/3 - j**3\/6 + 8*j**2. Determine s(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2 - 2*l**3 + 8*l**2 - 3*l**2 - l + 3*l**3. Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*a + 1140. Let k be (-7)\/28 - a\/(-784). Is 0.06 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7073.591um in centimeters?\nAnswer: 0.7073591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uccnlccmucuuculj. Give prob of picking 1 j, 1 l, 1 u, and 1 n.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 23*u**2 - 26*u - 51. Calculate w(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 10*f**2 + 3*f + 26. Let t be d(-11). Let h = 172 - t. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/37 (b) -0.5 (c) -1 (d) -6 (e) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, d: 2, h: 6, r: 3, w: 1, f: 2}. Give prob of picking 3 h and 1 d.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178.96962772 - 178.97. Round u to six dps.\nAnswer: -0.000372","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -21*a - 34. Factor 0 - 6\/11*v**3 - 2\/11*v**a - 6\/11*v**4 + 0*v - 2\/11*v**5.\nAnswer: -2*v**2*(v + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/39*42*((-518)\/(-49) + -10)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5628, -2\/11, -0.05?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*u + f, 2*u + 2*f = 8. Suppose k - 1 + u = 0. Let c(s) = 0*s - 18*s**2 + 3*s + 17*s**2. Let m(w) = w. Determine k*c(q) + 3*m(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369648 divided by -9.\nAnswer: -41072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 25. What is the highest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -28 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 10*x**3 - 6*x**3 - 7*x**3. Let g be r(-1). Suppose -g = a - 5*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.2252, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45211167142 + 0.3.\nAnswer: 45211167142.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49736 is divided by 1772?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/7, 3 in descending order.\nAnswer: 4, 3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5762.925 nanometers to kilometers.\nAnswer: 0.000000005762925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -455246*i**2 - 315*i + 221992684 wrt i.\nAnswer: -910492*i - 315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11864*d**3*z**3 + d*z**3 + d*z**2 - d*z - 49*d - 248 wrt d?\nAnswer: -71184*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (102\/(-8))\/((-33)\/88)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h + 148. Determine j(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 0*i + 0*i + (0*i + 4*i - 2*i)*(3 - 4 + 3) - i + 4*i - 2*i + i + 2 - 2 - i - 3 + 3 - i + 0*i - 2*i + (-i - 2*i + i)*(-2 + 2 - 2).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7333 + -7323 + (-23 - (0 - (1 - -1))))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d. Let t(x) = -2006*x. What is t(r(n))?\nAnswer: -8024*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 f when four letters picked without replacement from {f: 5, d: 13}?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.04 + 8. Let b = -0.04 + s. Let z = b + -0.04. Round z to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*6 + (sqrt(104) - sqrt(104)*-2)\/sqrt(8))*-2.\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 312580*d*x**3 + 5*d*x**2 - 45217*x**3 - x - 4 wrt d.\nAnswer: 312580*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 4*l**2 + 2*l + 1. Let i be c(-3). Suppose -i = -x - 8. Let n be ((-164)\/x - 2) + -1. What is the greatest common factor of 95 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 808*w. Let p(o) = -2*o. Give p(u(d)).\nAnswer: -1616*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 0.274.\nAnswer: 0.01918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935598 (base 10) in base 11?\nAnswer: 1102275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = 1. Suppose 5 = -4*t - y. Let m(n) = 6*n - 16. Let w be m(3). Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -43*k**6\/6 - 9*k**2 + 22. Find the second derivative of y(b) wrt b.\nAnswer: -860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-425024)\/2748*(-6)\/(-16).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + p + 7 = 2*p, -x - p = -1. Let a be (-92)\/8 - x\/2. Suppose 388*h = 350*h - 342. Is h > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-8)\/200*10*10\/(-3)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 33 - 8. Suppose 2*q - 2 = -t + 29, t + q = 30. Suppose -l*i + t = -3*j - 1, 30 = 5*i + j. Calculate the greatest common divisor of i and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/(11\/22)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o**3 + 22828*o**2 + 26600*o = 0.\nAnswer: -950, -7\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 830 and 581?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510478 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154\/2900785 or 0?\nAnswer: -154\/2900785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/210 - ((-88)\/(-28) + -3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yep when three letters picked without replacement from {e: 1, y: 10, p: 1, f: 7}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 1261, 2601, 4407, 6637, 9249, 12201?\nAnswer: 15451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -93. Let h = p + 70. Solve -4*b = h*u - 0*b + 14, 5*u + 12 = -2*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-285)\/(-38))\/(5\/(60\/9)). Calculate the highest common divisor of 35 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764665 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -523, -691, -863, -1039?\n\"Answer: -2*j**2 - 162*j - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + 123*j + 488. Calculate v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473*b - 38934 = -7962*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 + 212. Calculate the remainder when 70 is divided by 15\/((-105)\/(-91)) + c + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -635, -737, -839?\n\"Answer: -102*k - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/17 (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.2. Let i = -186 + 191.2. Let j = k + i. Which is the nearest to 0? (a) j (b) -1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8604.9897 less than 0.1?\nAnswer: 8605.0897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13240*o**2 - 79435*o. What is z(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4344375, 8688745, 13033115, 17377485, 21721855?\nAnswer: 26066225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*f + 13049053 - 70899507. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*d + d + 38, 4*d + 80 = 2*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 38155.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4962*n**2 - 18*n + 3. Let p(g) = g**2 - 6*g + 1. Calculate 3*p(o) - q(o).\nAnswer: 4965*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-3))\/((-2)\/6). Suppose -5*t + 2*t = -2*x + 52, 5*t + 2*x + 60 = 0. Let k = t - -22. Solve 2*u + k = -r*f, u - 4*f - 6 = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/5 + 77141982*g\/5 + 231425964\/5 = 0 for g.\nAnswer: -3, 38570994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*24.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1694*m - 272*m + 669*m + 13*m.\nAnswer: 2104*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d**2*k**3*m**3 - 2232*d**2*k*m**3 + 3*d**2*k*m - 6298*d*m**2 + k**3 wrt m?\nAnswer: 48*d**2*k**3 - 13392*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1191 + -1170. Suppose 0 = -3*k + 9*k - 36. What is the remainder when d is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*c - 25 = -85*c. Let z(f) = 3*f**2 - 13*f + 6. What is the smallest common multiple of z(c) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24256423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*v = 125*v - 36972. What are the prime factors of v?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -353 + 411. What is the remainder when 345 is divided by c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239276029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*h - 5, -3*h - 4*g - 13 = -37. Suppose 37 = h*z - 3. Suppose 964 = z*o + 44. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(-516)\/1290?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -118538, -474161, -1066854, -1896617, -2963450?\n\"Answer: -118535*w**2 - 18*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:35 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -5, -74 in descending order.\nAnswer: 5, -5, -7, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169604 - 169618.0269. What is i rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/5 - 60*x**3 + 43584*x**2\/5 + 12678704*x\/5 - 353379312\/5 = 0. What is x?\nAnswer: -262, 26, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*r**2)*(-2*r + 2*r + 2*r) - r**3 - 7*r**3 + 3*r**3)*(r + 2*r - r).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 230, 776, 1840, 3596, 6218?\n\"Answer: 29*y**3 - 2*y**2 + 5*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/15*5 + -2. Solve 2 = 2*v + 12, 2*n + 20 = -d*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22581703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 4. Let h be c(0). Suppose 3*u - 9 - 15 = 0. Let w = h + u. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (2 - (11 + -8) - -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 403266 + -7?\nAnswer: 403258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + 4. Let c = 50 - t. Let q = -0.1 - -0.2. What is the nearest to q in -0.3, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m + 3. Let s(i) = 2*i - 3. Let j(o) = -4*g(o) - 5*s(o). Suppose -2*u - 6 = -2. Calculate j(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 26 = -n - 4*x, 0 = -2*x - 8. What is the smallest common multiple of (-12)\/(-30)*n\/(-2) and 11\/3 - 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2201 divided by -4457\nAnswer: 2201\/4457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 9*x**2 + 11*x + 11. Let i be j(-10). Solve h + i = 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 13, n: 3}. What is prob of picking 1 s, 1 r, and 1 n?\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 1817*m**2 - 47933*m - 337. Give c(-26).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/(-59)*(17\/34)\/(1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55637, -111272, -166907, -222542?\nAnswer: -278177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.7 (b) 4 (c) 84 (d) -4 (e) 431\/4 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*k - o - 21, 0 = 3*o. Let y = k + -4. Suppose -3*c = -i - 76, 2*i - i - 74 = -y*c. Solve c = 2*p - 7*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 7, d: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1 - 0) + 0. Let m = 13 + q. What is the remainder when 40 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -165, -206?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4014 and 211850.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -15. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000755 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002192 to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g + 118. Let k be s(-12). Is (-2)\/k - 55920\/(-440) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 611, -1, 5, -1\/7 in decreasing order.\nAnswer: 611, 5, -1\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s + 10 = 5*v, 0 = 2*s + 10. Suppose 0 = v*k - 82 + 12. Put k, -1, 5 in ascending order.\nAnswer: -1, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 7*j**2 - 5*j - 4. Give f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898.802 years in millennia?\nAnswer: 3.898802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = k + 128, 0 = -2*m - k + 164 + 89. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**3\/3 - 5*f**2\/2 + 4*f - 2. Let m be b(-5). Let y be (-12)\/(-16) + 17\/m. Solve 0 = -k + y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -44055*w + 88044. Give m(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-30))\/((-26)\/9999665) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.34 (b) -971 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t + 348 = -3*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -14 (c) 2 (d) -6 (e) 0.52 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 10. Let r be (4 - p\/(-1))*1. Solve 2*o = -3*d + 12, -2*d + 8 + 2 = r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 + 137. Let j be ((-3)\/(-30))\/(2\/12). Put 0.2, 3\/4, j, c in ascending order.\nAnswer: 0.2, j, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/36294732 and 17\/8.\nAnswer: 72589464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*p**3 + 270*p**2.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3 + 51*a**2 + 243.\nAnswer: 3*a**2 + 102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -605, -1356, -2409, -3764?\nAnswer: -5421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/19 (b) 0.3 (c) -10 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9 + c**2 + 2662*c - 19 - 2666*c + 15. Give d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/5 + (-12)\/30. Suppose 5*m + 13 = x. Is m >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/21 and 49\/1866?\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:50 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 475, 524, 573, 622?\n\"Answer: 49*k + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let j(l) = 8*l**2 + 11*l + 5. Let o(a) = -6*h(a) - j(a). Let w(q) = 12*q**2 + 8*q + 8. What is -8*o(n) - 5*w(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - (-42)\/5. Let u be 2\/8 + 30\/f. Let i be (24\/45)\/((-6)\/(-15)). Which is the nearest to 1\/3? (a) i (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**5\/60 + 2*v**4\/3 + 72*v**2 - 83. Let l(y) be the second derivative of j(y). What is z in l(z) = 0?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 2:28 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1747 is divided by 582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let y(d) be the third derivative of 1\/60*d**5 + 0*d**4 + 0 - 25*d**2 + 0*d - d**3. What is y(b(f))?\nAnswer: f**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 11:18 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -12*b**2 + 2*b + 5. Let c(g) = 47*g**2 - 9*g - 21. Determine -2*c(q) - 9*u(q).\nAnswer: 14*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddneei. Give prob of sequence eidd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14103 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12895 - 12885. What is the lowest common multiple of 2 + ((-4)\/2 - -10) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11044186369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-2\/3)))**(1\/9)\/(x*x**(-1\/4))**(2\/9))\/((x**(-8\/3)\/x*x\/(x*x\/(x\/x**9)*x*x))\/(x**(-2\/17)*x*x\/(x*x**(3\/5)))) assuming x is positive.\nAnswer: x**(68191\/4590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 3*p**2 - 3*p. Suppose 4*k = 9 - 1. Suppose k*t - 20 = 4*x, -21 + 6 = -5*x. Calculate the remainder when t is divided by r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73209926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -470\/3 + 162. Is 5 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from gzzzgluwzuzzlluugu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7595798400 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/7 - 2790*m\/7 - 822425\/7 = 0. What is m?\nAnswer: -2455, -335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-30))\/(-7) + (-10)\/100\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**8\/168 - v**5\/20 - v**2 + 4*v. Let r(t) be the first derivative of s(t). What is the third derivative of r(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/70)\/((-253)\/330*576\/(-32))?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/18 and -97\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -278, -287, -300, -317?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*(-1904)\/21*(-81)\/72.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: a3a13 (base 14) to base 9\nAnswer: 660867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3526026 and 17094.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-90)\/21*(18 - 25). What is the greatest common divisor of a and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**43*f*f\/(f\/(f*f*f**(-1\/9)))*f*(f\/f**(-44))\/f**(-1) assuming f is positive.\nAnswer: f**(836\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 7843667?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72816893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-404*i - 1127*i + 107*i - 3*i - 2*i + 7*i + (-2*i - 2*i + 3*i)*(-1 + 0 + 0) - 3*i + 3*i - 2*i)*((-1 + 1 - i**3)*(-i + 1 - 1) - 3*i**4 - 3*i + 3*i).\nAnswer: 2846*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -41*j - 88. Determine n(7).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 2, -10 in decreasing order.\nAnswer: 6, 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3)*-2)\/(-2*(-48)\/((-19440)\/(-45)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34260356?\nAnswer: 2, 13, 59, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1124 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -342 + 58?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*c - 5*c. Let z be -6 + 6 + (-3)\/c*4. Find g, given that 2\/5*g**2 + 2\/5*g**3 - z - 2\/5*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-2)*(3 - 7). What is the second derivative of -10*a - 54*a**4 - w*a + 29*a**4 wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**8*b)\/b)\/b)\/b**(2\/9)*(b**(2\/15)*b)\/b**5)\/((b**(5\/6)*b*b**(-7\/5)*b*b)\/(b\/b**(2\/7))**(2\/5)) assuming b is positive.\nAnswer: b**(481\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o**2 - 159*o + 747. Let m be q(8). What is the fourth smallest value in 5, 0.03, m, 0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntnnttnnntnnnnn. What is prob of sequence nnn?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**15\/z**(-20))\/((z**(-15)*z)\/(z**(-3\/7)*z)))**(-12\/7) assuming z is positive.\nAnswer: z**(-4164\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -26847*a**2 + a**3 + 33*a**4 + 13425*a**2 + 13430*a**2 in the form x + b*a + w*a**3 + y*a**4 + k*a**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -7*n + 2*n. Let a = 47 + n. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 82, 120, 146, 154?\n\"Answer: -c**3 + 3*c**2 + 42*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -427245 divided by 1\nAnswer: -427245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1283 - -1291.403. What is n rounded to 1 decimal place?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 10*r - 72. Calculate the highest common divisor of 192 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 32905*u - 263262. What is c(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 19*y = -384. What is the greatest common factor of 84 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/4068 and 151\/3744.\nAnswer: 423072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 289c4 (base 13) to base 6\nAnswer: 1345335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:38 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g**2 + 2*g. Suppose j - 12 = 5*r, 10 = j + 3*j - r. Let h(k) = 8*k - 3*k - j*k. What is p(h(i))?\nAnswer: -90*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624082878 divided by -3.\nAnswer: -208027626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let x(h) = -31*h**3 + 8*h. Let k(d) = -6*f(d) - x(d). Find the second derivative of k(r) wrt r.\nAnswer: 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 (base 9) in base 12?\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, e: 2, o: 2}. What is prob of sequence edd?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225576236 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)\/(t**(-7\/2)*t))**(-1\/12) assuming t is positive.\nAnswer: t**(-13\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139797 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/15 - (-2212)\/60 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -137?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 2*i + i + (-i + 0 + 0)*(89 - 3 - 33) to a + z*i and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 18*w - 17. Let h(v) = -v**2 + v - 2. Determine 5*h(m) - j(m).\nAnswer: m**2 - 13*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 16. Suppose 5*d = u + 10*d, d = -u. Suppose u - 12 = -b*r. Calculate the remainder when 29 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + -5*sqrt(448)*1)*2*-4)**2*-5.\nAnswer: -7170560 + 102400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 87\/5, 0.4, 3\/2071?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -21 (c) -0.406 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*d + 81 - 20, 0 = 5*p + 5*d + 115. Let z = p + 31. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 242*q**2 - 1103*q + 2991. Determine h(76).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 2*d - 84, -3*d = 4*a - 84. Let f = a + -17. Solve g - f*g = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5117 (base 16) in base 10?\nAnswer: -20759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65919000 (b) 2\/9 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by -6*(-8 + 153\/(-18))?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*g**2*j - 13606358*g**2 - 81307987*j wrt g.\nAnswer: -44*g*j - 27212716*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3397*k + 1933*k + 46848 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**3 + 4*w**2 - 6*w - 1. Let f(i) = -24*i**3 + 8*i**2 - 13*i - 2. Let p(a) = 3*f(a) - 7*t(a). What is the remainder when p(2) is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(1\/9). Suppose -t*k = -0*z - 4*z - 5, -12 = -4*k + 4*z. Find the second derivative of k*f**2 - 7*f - 2*f**2 + 3*f**2 wrt f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006554 rounded to seven dps?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -10. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 14*f - 7. Calculate c(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 369, 506, 797, 1302, 2081, 3194, 4701?\n\"Answer: 10*k**3 + 17*k**2 + 16*k + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23806012459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21647 is divided by 1204.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlj when three letters picked without replacement from {l: 2, j: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14644058 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/(-54) + -3)\/((-7)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 19*v**2 + 16*v - 26. What is the least common multiple of q(-18) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7952669 and 89503?\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1256 rounded to three dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.8 - 16.91. Sort c, 3\/4, 3, -7 in descending order.\nAnswer: 3, 3\/4, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*p**2*q**2 + 1531*p*q**2 + 2*p - 201518*q**2 wrt p.\nAnswer: -16*p*q**2 + 1531*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*d = 2, 3*v - 3 - 4 = 4*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (362*h - 98*h - 113*h)*(5*h**2 - 3*h**2 - 4*h**2).\nAnswer: -302*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/26090 and -73\/9.\nAnswer: 234810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/((-14)\/(-84)). Suppose m*x + 660 = 6*x. Suppose -5*z + x = -150. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7972 - 6955.26. What is w rounded to the nearest 10?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -36188442 and -36188406 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -961 + 932.55. Let c = -28.4498563 - t. Round c to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470239 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/(-3))\/((-3)\/9). Let u = -354.83 + 350.83. Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -99*w**2. Let j(o) = o. Determine u(j(p)).\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 1 + 3*d**2 - 4 - 3*d + 5. Let p be k(2). What is the units digit of (p - 32\/6)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let x = 60 + 10. Let n(c) = 35*c - x*c + 35*c - 12*c**2. Determine n(q(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 3, l: 1, a: 6, b: 6}. What is prob of picking 1 i and 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -38. Suppose -4*c = 3*q - 670, 0*c - 656 = -4*c + n*q. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-67)\/(-268) + 3\/(-6). Suppose 2*x - 16 = 2*g, 4*g = x + 2*x - 32. Suppose -21 = 4*h + s, -4*s = -4*h - 3*s - 11. Sort g, h, o.\nAnswer: g, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(0 + 3\/6). Let h be (-4 + 0)*(-6)\/12. Let j(t) = -u*t**h + 10*t - 10*t. Let k(l) = 2*l. Give j(k(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80513197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/2)*r*r)\/r*r*r\/(r\/(r\/(r*r**(-3\/5)))*r)*r**3*r**(2\/13)\/r assuming r is positive.\nAnswer: r**(553\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620319 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q**3 + 3)*(11*q - 5*q + q) + 12*q**4 + 23*q**2 - 23*q**2 + 0*q**4 - 3*q**3 - 3*q**4 + 4*q**4.\nAnswer: 20*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127786740151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1345, -3, 8, -1, -35, 1 in increasing order.\nAnswer: -1345, -35, -3, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/((v*v**(-2))\/v)*v)\/v*v*v\/(((v**(-3\/17)*v)\/v)\/v*v)*(v*v\/(v\/(v\/(v\/v**10*v)))*v)\/v*(v\/(v\/(v\/v**(-1\/14))))\/v assuming v is positive.\nAnswer: v**(3867\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 26 + 2 + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 - 2*h - 6. Give w(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/(c**(-6)*c))\/(c**(1\/3)*c**6) assuming c is positive.\nAnswer: c**(-38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose 4*v - 4*f = -p*f + 26, -2*v = 5*f + 5. Let q(c) = 15*c + 4. Is q(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2493504 - 10*m**2 + 2493504 + 0*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-20) - 51\/(-15). Suppose 0 = t*h + 9*p - 8*p - 73, 2*h - 5*p = 43. Solve -h*l + 8 = -22*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 104*p + 212.\nAnswer: -(p - 106)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1188\/(-20160) - (-1)\/(-16) and -41\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by ((-2)\/6)\/((-495)\/486 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5928993, 11857986, 17786979, 23715972?\nAnswer: 29644965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u - 516. Let c be (u\/(-12))\/((-1)\/(-2)). Let o = -8 + c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.19 - -2.9. Let p = 0.09 + r. Let v be (3\/(-7))\/(2\/7). Which is the second biggest value? (a) 1\/2 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 17 = 3*z, -z + 13 = -5*p - 10. Let f = -16 - -4. Let c = -11 - f. What is the closest to 1\/6 in p, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 95*z**3 - 385*z**2 + 505*z - 210.\nAnswer: -5*(z - 14)*(z - 3)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + a**2 - 4*a - 2. Let n be i(-2). Let m be 2*n\/(-52)*2. Let k be 5*((-36)\/15 + 2). What is the biggest value in m, -6, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**7\/2520 - q**6\/90 - q**5\/20 + q**4\/4 - 5*q. Let p(l) be the third derivative of k(l). Calculate p(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)\/((-2)\/(-10)). Let p be 1\/((10\/(-4))\/k). Suppose 3*r = -5*x - 12, 2*x = -7*r + p*r - 20. Solve g + 2 = -3*l, x*g + 4*g = -5*l - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*s - 28 + 272, 0 = 2*s - 5*g + 100. Let q be (s\/9)\/(1\/3). Let x be (4 - q)\/6 - 0. Put -2, x, 3 in descending order.\nAnswer: x, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 - 2*t**2 + 6*t**3 - 5*t**3 - 2 + 2 - 2*t**3 + (0 + t + 0)*(-t**2 + 0*t**2 - t**2).\nAnswer: -3*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125802793*t**5 + 3*t**2 + 36037*t - 7242 wrt t?\nAnswer: 2516055860*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - c - 272. Suppose -34 = 5*g + 61. Let p = -19 - g. Let j be k(p). Round j to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-36))\/((-79)\/36972*39)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/63444 and 7\/6.\nAnswer: 63444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127168 is divided by 259.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from gygggagaggyaaaagg?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2990849?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2088520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 25*z**2 - 23*z - 52. Let x be l(26). What is the highest common divisor of x and 2119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 43*n**3 + 5*n**2 + 3*n + 3. Let m(g) = 42*g**3 + 6*g**2 + 4*g + 4. Determine 4*f(l) - 3*m(l).\nAnswer: 46*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 + 516*d - 1048 = 0 for d.\nAnswer: -131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 - 4 = 0. Let o(a) = -a**2 - 2*a + 48. Let k be o(6). Sort k, -1, 4, y in increasing order.\nAnswer: -1, k, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001249153 rounded to seven dps?\nAnswer: -0.0001249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Let g be (2 - 5)\/(-19 - -18). Let x be 29 - 25 - ((-81)\/(-6))\/g. What is the closest to x in f, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 19 - (-4)\/(-1). Suppose -x*o - 9 = -51. Suppose 51*y - 52*y = -o. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0, 5 in descending order.\nAnswer: 24, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -135244237.\nAnswer: -135244237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = m. Let v be (1 - 23\/1)\/m. Let h be (-8)\/(56\/(-20) - 4\/(-5)). Solve -h*n + 9 + v = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311 - 24?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 4*m - 8. Let b(j) = j**2 - 3*j + 7. Let d(n) = 5*b(n) + 4*q(n). Let r be d(-6). Suppose 37*a - 564 = r*a. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = -4*x, x + 665 = -u + 677. Let y be 0*2*(-4)\/(-8). Solve -5*b - b - x = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39c + 317a?\nAnswer: 3538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1098 - -1101. Suppose 0 = 5*y + 3*r - 63, r = -y + 4*y - 35. Solve o + h*o = -y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -45*t**3 - 24*t**2 - 4*t - 4. Let f(l) = -6*l**2 + l + 1. Let o(c) = -4*f(c) + w(c). Let q(d) = 15*d**3 + 3*d + 3. What is 3*o(k) + 8*q(k)?\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 7*j + 2. Let h be z(-7). Let q(f) be the second derivative of -5\/2*f**h - 2*f + 1\/2*f**3 + 0. Calculate q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 13*q**2 - 12*q + 9. Let j(c) = -c**2. Let x(z) = -z**2 + 3*z - 2. Let n(t) = 2*j(t) + x(t). Calculate 9*n(w) + 2*r(w).\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16.8 and 346138185661.\nAnswer: 346138185677.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -115500 to the nearest 1000.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 3:29 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.30856 and -2670?\nAnswer: 823.8552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 + -0.4376. Let q = p - 0.0322759. What is q rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/3, 0.49, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -63, -240, -595, -1188?\n\"Answer: -10*d**3 + d**2 + 8*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/51 and 35\/138.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111 + 231443?\nAnswer: 230332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*j**3 - 605*j**2\/3 + 181*j\/3 - 2\/3 = 0. Calculate j.\nAnswer: -2, 1\/87, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 20 + 14 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18062.934 rounded to 0 dps?\nAnswer: 18063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 490\/392 - (-10)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/14)\/(124\/(-434)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38061847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6589 - 9.672.\nAnswer: -6598.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 12. Calculate the smallest common multiple of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21515 divided by -22214\nAnswer: 21515\/22214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, -3\/2, 1.6, -5\/3, 0 in increasing order.\nAnswer: -4, -5\/3, -3\/2, 0, 0.1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/1657 - 263253\/57995. Let i = u - -29\/7. What is the smallest value in i, -0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 122 + 168 = 0. Find the common denominator of 52\/(-16)*2*(-33)\/9 and 1 - (-1)\/6*d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:26 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 5*n + 4. Let o(w) = w**2 - w - 1. Let m(x) = a(x) - 5*o(x). Let z be m(-3). Let v = 43 - z. What is the greatest common factor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-62))\/3*((-23052)\/(-113))\/51\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9)*-9)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1614*h - 11295. Let x be s(-7). Solve -t = 3*i - 7*i + 3, x*t + 9 = -5*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3644999 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -407 + 402. Does 9 divide 12\/(-2) + 1 - (-388 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*u - 71, 3*i - 21*u = -19*u + 95. Solve -9*q = -34 - i for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*s - 28059 = 63*s + 397*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 169872929 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ff (base 16) to base 14.\nAnswer: 91d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + g**5 + (192 + 162*g**3 - 192)*(-6*g**2 - 2*g**2 + 2*g**2).\nAnswer: -973*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/100 and -127\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 10 = h + 5*d, 0 = 2*h + 5*d - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.35 + 7. Let s = -0.05 - j. Put s, -1\/5, -1 in descending order.\nAnswer: s, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**7\/6 - r**3 - 4*r. Find the second derivative of d(g) wrt g.\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h**2 - 2*h - 2*h**2 - 18*h**2 - 13*h**2.\nAnswer: 30*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 759 - 753 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16018034 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 9*c - 14. Give d(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155520476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11499.5 + 11499. Let l be 3 - (-4)\/((-160)\/188). Put -3\/4, g, l in decreasing order.\nAnswer: g, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4441.\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12913?\nAnswer: 37, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 + 200. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - s**2 - s + (4 - 4 - 4*s)*(2*s + 4*s - 4*s) - 2 - 4*s**2 + 2 to the form c*s**2 + j + z*s and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2941 (b) 0.9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -266 + -31210?\nAnswer: -31506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*p - 83. Are p and 7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/x**(-2\/9))*x)\/x**(3\/2))\/(x\/((x*x*x**(-1)*x)\/x))**(2\/47)*(x\/x**6*x*x*x\/(x\/(x\/x**4)))\/(x**(1\/3))**(-37) assuming x is positive.\nAnswer: x**(119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3*i + 0*i + 0*i) + (1 + 4 + 0)*(-2*i - 3*i + 4*i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 4*s**2 - 7*s + 10 + 3. Let h be x(-8). Suppose h*p + 3 = 48. Sort p, -4, -3 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/245*(-1*(-3 - 2) + (-290)\/116).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1158 * 3.6516.\nAnswer: -0.42285528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2\/11 + 48*o\/11 + 216\/11 = 0?\nAnswer: -18, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 392.978 - 0.1113.\nAnswer: 392.8667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 3*w**3 - 20*w + 2. Let a(y) = 3*y. Calculate a(n(o)).\nAnswer: 54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280821 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -698016 at least as big as -698015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 16279.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(6\/(-48 + -6)) is divided by (6\/(-9))\/((-2)\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4898 + -0.1898. What is the third smallest value in -3\/2, -0.7, v, 3.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from {a: 1, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 26, -16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3145507*l**5 - 286621*l**2 - 12*l wrt l?\nAnswer: -188730420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**2 - 21866188 + 21866188 - 15*u**2.\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/4 (b) -12590\/1559 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/72 and (-335)\/(-10)*21\/(-441).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-2) - (-476)\/(-42)*-204 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6415906?\nAnswer: 2, 7, 79, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, -7, -14, 3, -9\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2*s**2 + 64*s - 2178. Determine k(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 59*u - 5. Let g be j(4). Let t = 451 - g. Let f = t - 137. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*h + 4 + 0 = 0, -4*r = 2*h. Let o = 0 - r. Solve -7 = -o*z + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 10*r - 19. Let c be u(-7). Is c >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -776 + 776 + 2339*t**4 + t - t**4 - t + (4*t**4 - 4*t**4 + t**4)*(-1 + 3 - 4) to m*t**3 + g*t**4 + x*t**2 + d + a*t and give g.\nAnswer: 2336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/2684*-22*98.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 258 - -14?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*r**3 - 3*r**2 + r - 474 wrt r.\nAnswer: 516*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 29413 (base 13) to base 9\nAnswer: 127377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10201*k**2 + 1395012*k - 47692836 = 0. Calculate k.\nAnswer: 6906\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*d + 5793 = 0, q - 46*d - 5841 = -42*d. What are the prime factors of q?\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9099 and -0.1.\nAnswer: 9098.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 1 - 3 + 8*h + 3 - 3. Let n be x(7). Suppose m - 2*t = 12, -n*m - m - 3*t + 37 = 0. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 242.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 1032, 1552, 2076, 2604, 3136, 3672?\nAnswer: 4212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225986 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9149 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(130)*-4 + sqrt(130)*-1*-2)\/(-4*(sqrt(10) - sqrt(250)) - sqrt(10) - ((1*sqrt(1210) + sqrt(1210) - sqrt(1210)) + sqrt(1210))))**2.\nAnswer: -20*sqrt(13)\/7 + 1277\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -26, 11, -2 in descending order.\nAnswer: 11, -2, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 + -41. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*h**4 + 2 - 30*h + 88*h**4 - 62*h**4 + (-4 - 1 + 3)*(-2*h**4 + 2*h**2 - 2*h**2).\nAnswer: 61*h**4 - 30*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-12)\/30*9\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 13) in base 4?\nAnswer: 12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, p: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 942\/2826*(540\/152)\/(-15)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -972*i - 3. Let m(j) = -6*j - 1055. Give v(m(c)).\nAnswer: 5832*c + 1025457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/18*-8*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/8027050 and 95\/4.\nAnswer: 16054100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 + 12 + (-36 + 10 - -22) + -80\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001739581485 to seven decimal places.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 9. Let r be u(6). Let w = 90 - r. Factor -29*t + 10*t**2 - 28*t**2 + 165*t**3 + 24 + w*t**4 - 55*t.\nAnswer: 3*(t + 1)*(t + 2)*(5*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -94) + -7*(-8)\/28. Suppose -5*r = -2*r - a. Calculate the remainder when r is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23840248, 23840252, 23840256, 23840260?\n\"Answer: 4*y + 23840244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 + 31*u**2 + 58*u = 0. What is u?\nAnswer: -29, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 912902.3 litres?\nAnswer: 912902300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79, 126, 173, 220?\n\"Answer: 47*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 43.0265 times -0.309\nAnswer: -13.2951885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(51)\/(sqrt(12)\/sqrt(4)) + (sqrt(833) - (0 + sqrt(833)) - sqrt(17))**2 + -2.\nAnswer: sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*r + 198. Suppose r + 226 = -l. Calculate the common denominator of 28\/11 and 1 + (l\/(-4))\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 3, n: 5, t: 1, q: 1, y: 1}. What is prob of sequence qe?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmn when three letters picked without replacement from mnmmunnnmm?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347003064?\nAnswer: 2, 3, 181, 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 640853333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 13 - (-40 - (24 - (102 - 41))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 3) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-13 - (-9 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1377*p**2 - 4*p - 5. What is the tens digit of t(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.2801 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104098715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by 2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98688.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/76876279?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 74?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(-6)\/(168\/7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*s + 52*s + 71*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(63) - ((2 + sqrt(7) - sqrt(7)) + 2 + sqrt(7))) + 5 - (sqrt(343) + -1 + 2 + (2*sqrt(343) - sqrt(343))*5 + 5))**2.\nAnswer: 240*sqrt(7) + 11209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*y**4 - 63*y**4 - 23*y**4 + (3*y - y - 3*y)*(-2 - 3*y**3 + 3 + 2*y**3).\nAnswer: -36*y**4 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)*(-3)\/(-12). Let a = 16694 + -16693.8. Let s = 1 + 2. What is the second biggest value in a, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -48. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 2, -451 in descending order.\nAnswer: 39, 2, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3005 - -4592. Solve -j = 2*p - 1579 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - ((-969)\/(-76))\/((-3)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1656 divided by -771.\nAnswer: -552\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b**2 + 8*b - 67. Let s(i) = 4*i**2 + i - 1. Calculate -4*s(m) + u(m).\nAnswer: -m**2 + 4*m - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-4)\/12*11. Suppose -27*o = -35*o - 48. Let r be ((-3)\/12)\/(o + 7). Which is the closest to r? (a) -7 (b) t (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1021 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-47 + 11 - -30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Suppose 5*d + 5*c = d + 24, 2*c = -3*d + 11. What is the remainder when 28\/8 + l\/(-4) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7429 is divided by 239.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75667302*r**2 - 62967350.\nAnswer: -151334604*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**7\/105 + 4*a**6\/75 - 3*a**5\/50 - 2*a**4\/15 + 4*a**3\/15 + 17*a. Suppose z(o) = 0. What is o?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = 1. Suppose 2*r + 6 = -5*a, v*r = a + 1 + 5. Let z = a + 10. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -4*sqrt(117)*4)\/sqrt(9).\nAnswer: 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 60171*u\/2 - 17188571.\nAnswer: (u - 60737)*(u + 566)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2 = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p + 7. Let y = 311 + -308. Suppose -8 = -3*q - 20. Let m(o) = -9*o + 7. Let b(n) = q*r(n) + y*m(n). Differentiate b(d) with respect to d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f, 5*f = 2*c + f + 32. Let u be 3\/30*(-24)\/c. Is u at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192481 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328739 and 138?\nAnswer: 1972434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -22 + 22 + -12.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -37. Suppose -2*p = y - 18. Factor -10*m**3 + 3*m**p + 2*m**4 - 20*m**2 - 23*m + 15 + 33*m.\nAnswer: 5*(m - 3)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*b + 5*s, 2*s - 5 = 4*b - 3*b. Solve b = -5*a + 7*a - r, -3*a - 4*r - 26 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2462400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -845 + 1217. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**7\/525 - s**6\/75 + s**5\/30 - s**4\/30 - s**2 - 5*s. Let y(n) be the first derivative of h(n). Factor y(b).\nAnswer: 2*b*(b - 2)*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 163124867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66982065 a multiple of 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(360))*1 - 2*sqrt(80)\/sqrt(2))*1)\/(((sqrt(72) - (sqrt(72)*1 - sqrt(72)) - sqrt(72))*-5 + sqrt(72) + sqrt(72))*2).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 107331.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 25. Let o be q(-4). What is the closest to o in 5, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4)*n**2\/n)\/(n**2\/n*n*n*n\/n**(2\/7)))**47 assuming n is positive.\nAnswer: n**(-1880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 323281\/80130 + -3\/2671. Let u = s + -29\/6. What is the closest to 18 in -0.3, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p + 72 - 3424. Factor 7*m**4 + 211*m**5 + 0*m**3 - 13*m + 22*m**2 + 207*m**5 + 3 - p*m**5 - 18*m**3.\nAnswer: -(m - 3)*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523252349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 186150593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8258500874.\nAnswer: 2, 13, 31, 10246279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 33*t**3 - 6*t**2 + 6*t + 1. Calculate h(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 64, 118?\n\"Answer: 54*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Suppose -b - f + 2 = 0, 2 = -b - 4*f - f. Let j be (2 - 2)\/(1 - b). Let a(n) = 2*n**2 + j*n**2 - 6*n**2. What is a(m(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*d - 0*c - 22, 4*c - 52 = -4*d. Let j = -18 + d. Is 1\/3 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + 3*sqrt(147) + 6*(sqrt(147) + -3 + sqrt(147)) + -2)*6*-2)**2.\nAnswer: -687960*sqrt(3) + 4837329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*o = -8, 3*k + o + 2*o = -15. Let i = -108 + 118. Let d(b) = -3*b - 9*b + i + 10*b - 3*b - b**2. Determine d(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 38 = 6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13\/2))**33 assuming v is positive.\nAnswer: v**(-429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/17))\/a)**17 assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37900, 75275, 112650, 150025, 187400, 224775?\nAnswer: 262150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.81 and -2.2.\nAnswer: -1.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-15)\/(-135))\/(1\/(-6))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 5*z**3 + 3*z + 109*z**2 - 112*z**2 - 3 to the form j*z**3 + c*z + y + g*z**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 5757?\nAnswer: 5759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqo. What is prob of picking 1 q and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*g + 0 = 2, 3*g + 1 = 5*j. Let x(u) = u + 2. Let m be x(j). Solve 5*d - 5 = -m*b, -3*d = -b + 5*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 195129, 195684, 196237, 196788, 197337, 197884?\n\"Answer: -a**2 + 558*a + 194572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 169380245?\nAnswer: -2\/169380245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/11 and -32\/96823?\nAnswer: 1065053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591161 bigger than 4591162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, t: 1, z: 2, q: 2}. Give prob of sequence tz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 11*t**4\/2 + 71*t**3\/4 + 3*t**2 - 9*t\/4 = 0.\nAnswer: -3, -1\/2, 0, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1948, -4\/69, 0?\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24 - 1 - (-1 + -2). Suppose 6*d - 28 - x = 0. Suppose 2*y = -1 + d. Solve -y*m + 23 = -6*m - 3*v, -4*m + 4*v + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 48 = -4*j. What is the highest common factor of 315 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 1, -1\/3, -102.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29003 + 16482 = -744*o + 23191 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.5, 7, 194\/45, -0.3, -2\/11, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8457 and -10.7?\nAnswer: 90489.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 19 - 19 - (0 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*p**3 + 225*p**3 + 18*p**3.\nAnswer: 170*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 46\/16 - (-4 + -7 + 14)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h, l + 2*h - 6 = 2. Suppose l*w + 465 = 9*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 25*y**2 - 4*y. Let i(s) be the second derivative of 0*s**2 - 1\/3*s**3 + 24 - s. Give g(i(j)).\nAnswer: 100*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/1273 - -103121\/10184. Calculate the common denominator of 31\/28 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n - 4. Let v(o) = -2*o. What is the units digit of v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -521 - 2382?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(133) + sqrt(133)*-1 - sqrt(133) - sqrt(133))\/sqrt(7) + (4*sqrt(475) - sqrt(19)) - (-3*sqrt(57)*5)\/(-5*sqrt(9)\/sqrt(3))).\nAnswer: 6 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:32 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - o + 83 = o, 0 = -3*g + 4*o + 29. Let c(w) = 5*w**2 - 9*w + 17. Let b be c(6). Let n = -68 + b. What is the greatest common divisor of n and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Suppose 3*d + 6 = -3*p, 4*p + c = 3*p. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i**2 - 17*i - 2. Let l(f) = -17*f**2 - 26*f - 3. Let j(b) = 5*l(b) - 8*s(b). Let z be j(-4). Solve 0 = 3*h + 2*h + z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:48 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(126)\/sqrt(7))\/sqrt(9)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*f**5 - 95*f - 1.\nAnswer: 4380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p + 2. Let h be d(-1). Are -4\/13 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Let a(p) = -p**3 + 48*p**2 - 178*p + 89. Let z be a(44). Put z, 5, w, 2 in increasing order.\nAnswer: w, z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1420*t + 1933 wrt t.\nAnswer: -1420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31197411 a multiple of 1167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 109 + 45 = 0. Let g(j) = -j**2 + 15*j + 21. Let v be g(r). Solve -5*m - 45 = 4*q, 0*q - v*q = 5*m + 50 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15904583, 31809167, 47713751, 63618335, 79522919, 95427503?\nAnswer: 111332087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 + 15) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49036 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1020 and 21\/1360.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 21*l = -2*u + 6, -2*l - 4*u = -l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzltltzzllzlz. What is prob of picking 1 z and 2 t?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 5)\/(35\/525). Solve -3*o + 2*a = -4, a + 4*a + w = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8\/9, -1\/2, -1726, 0, 1, 1\/4 in descending order.\nAnswer: 5, 1, 8\/9, 1\/4, 0, -1\/2, -1726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8860777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2591 + -2591. What is the nearest to 2 in -5\/4, -0.01, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307192576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -529 + 529.047. Let a be (-223)\/1561*(-1)\/((-3)\/7). What is the nearest to t in a, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eme when three letters picked without replacement from {l: 1, x: 4, m: 1, e: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.55 (b) -0.2 (c) -43 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -459, -8, 0, 3.95?\nAnswer: 3.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - z + 59 = 0, -6 = 3*h + 2*z - 49. Suppose h*v = 21*v - 30. What is the highest common divisor of v and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*-1*2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k - 48. Give n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4307 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 26*y**2 + 16. Let z(q) = 5*q**2 + 3. Let a(m) = 3*x(m) - 16*z(m). Let v(p) = 19*p + 25*p - 8*p. Calculate a(v(j)).\nAnswer: -2592*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**2\/2 - 1. Let f(r) = -4*r + 3. Let s(d) = -f(d) - 6*v(d). Determine s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 10, y: 2, f: 1}. Give prob of picking 1 u and 2 y.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 947219 - 446700. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8) + 4 + 1 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c85fa4 (base 16) to base 2.\nAnswer: -110010000101111110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210 (base 3) to base 9.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4232407, 8464816, 12697225, 16929634?\n\"Answer: 4232409*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 11. What is g(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39160 and 924.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (25\/(-5) + 16)*9 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 4398*b - 2272395. What is j(598)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -133181, -133182, -133183, -133184?\n\"Answer: -u - 133180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -56. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 3, a: 1, t: 4, z: 1, h: 1}. Give prob of picking 1 a and 1 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121619 and 703.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244406065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 15*s**2. Let h(z) be the third derivative of z**4\/8 - 22*z**2. Determine o(h(n)).\nAnswer: 135*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d + 28. Suppose -d*w = -y - 2*w - 9, -2*y - w = 18. Does 5 divide y*(-1)\/1 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 9*o - 10. Calculate c(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(621\/(-27)))\/(-11*1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 + 181 - 123 - 4*q + 98 to n + s*q and give n.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o = -1561718 + 8499334. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92720314 greater than or equal to -92720314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 5*sqrt(847)*-6 - (sqrt(35) - (sqrt(315)*-1 + sqrt(315)))\/(sqrt(245) - sqrt(245)*2)) + 3)**2.\nAnswer: -18472*sqrt(7)\/7 + 5331593\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*m + 22, -3*m + o - 5 = 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 12*f**2 + 31*f + 144. Is 41 a factor of n(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 13) in base 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*c + 2 = 0. Suppose -4*i + c = -59. Solve -i = 3*z + 3*y - y, 2*y + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i - 0*i. Let c(n) = -n**3 - 4*n**2 - 3*n + 3. Is c(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 16 + 94. Let a = -6 + m. Suppose -a = -0*r - 2*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/28)*a*a*a*a**(-4)*a)\/(a**(2\/35))**(-7) assuming a is positive.\nAnswer: a**(51\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1666 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 13. Let h be t(-7). Which is the nearest to -1\/3? (a) 3 (b) h (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*l + 78*l - 36*l - 14*l**2 to the form v + h*l + g*l**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151 and 4832.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.767 - 7.767. Which is the nearest to -24\/103? (a) -0.3 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 18*c + 2. What are the prime factors of f(4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-417)\/(-12) + (-56050)\/2360?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -44, -55?\n\"Answer: -11*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(17) + sqrt(17))*6 - sqrt(17)) + sqrt(68)\/(sqrt(12)\/sqrt(3)))*-3.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2717254*w**5 + w**4 - 1179267*w**2 wrt w.\nAnswer: 163035240*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11023 (base 4) to base 2\nAnswer: -101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:39 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*7\/21*-3. Which is the smallest value? (a) z (b) -3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p + 62*p + 100*p - 461*p.\nAnswer: -344*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {j: 5, k: 2, y: 1, r: 1, e: 8}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -124, -146?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 110. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-232)\/290*10\/(-14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -870275 divided by 1\nAnswer: -870275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1277 in -22, 8, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*s - 896 = -37*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 170*f**3 + 844*f**2 - 38*f - 41. Give n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -1, -36.\nAnswer: -36, -9, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043.178698 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 7\/((-14)\/(-4)). Sort -0.1, -5, k.\nAnswer: -5, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 3*j + 2. Let c be q(-3). What is the smallest common multiple of 10 and 15\/20*c*2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-49) - 2\/(42\/(-57)). What is the lowest common multiple of (-9)\/(-3) - (0 + a)\/3 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 9*y**2 + 12*y + 12. Give i(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*o = 242*o - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*v - 75 = 0, 0 = x + 2*v + 3 - 41. Let k(t) = 2*t + 12. Let n be k(1). Suppose x = -n*d + 16*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {l: 2, g: 3, b: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 5*b**2 - 3*b**2 + (-4*b + 3*b + 3*b)*(196*b - 1098*b - 420*b).\nAnswer: -2645*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - h. Let s(z) = z**3 + 7*z**2 + 6*z. Let t be s(-6). Let r be 0 + 0 + (t - 1). Let n be x(r). Solve n = -a - 4*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35835480 and 110?\nAnswer: 394190280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = 21. Suppose -i*f + 41 + 64 = 0. Solve 4*t = f*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*-6)\/(sqrt(605) + (sqrt(605) - sqrt(605)*2) + sqrt(605)).\nAnswer: 18*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-43)\/(-1) - 1\/(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 2*m**2 + 2*m + 41. Let f be o(6). Let c = f + -170. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y + 1798 + 38 = 186 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7262 = -3*o, 5*u = o - 2415 - 17. Let n be 4\/(-26) + (-8)\/((-208)\/o). Find the third derivative of 93*z - 13*z**6 - n*z - 12*z**2 wrt z.\nAnswer: -1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1))\/(s\/(s\/s**(-3)*s)))\/(s**8\/s**(-4\/5)))**(2\/73) assuming s is positive.\nAnswer: s**(-48\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = 5*s - 4*s, 4*n - 2*s - 54 = 0. Find the first derivative of -10*w**2 + 47 - 3*w - 11 + 12 - n wrt w.\nAnswer: -20*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 10*r - 4. Calculate f(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 + 322 - (-2 + -1 + 4 - -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221703032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-482 + 115 + 269)*(-2*v + 3*v + 0*v) to f*v + m and give f.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:50 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0731, -3, -4 in increasing order.\nAnswer: -4, -3, -0.0731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 217305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - 39. Let z = h + 115.1. Let y = -21 + z. Round y to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4335*d**2 - 14*d + 5. Let p be h(1). Calculate the highest common divisor of p and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:19 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204108247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 27*n**2. Let h be w(1). Suppose 3*z = i - h, -5*z - 44 = -2*i - 4*z. Suppose -1960 = -12*o - 736. Calculate the remainder when o is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.787.\nAnswer: 0.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + 4 + -17 + 19\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 3*n**4 - 19)*(-1 + 0 + 0) - 3*n**2 + 2*n**4 + 0*n**2 - n**4 to the form v*n**4 + o + q*n**3 + c*n + l*n**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -915, -2063, -3689, -5799, -8399?\nAnswer: -11495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7048*o**2 - 3529*o**2 - 3531*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1796, -3614, -5464, -7346, -9260, -11206?\nAnswer: -13184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 + 8*r**3 - 100*r**2 - 200*r = 0 for r.\nAnswer: -5, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/5 + 22*k**4\/5 + 558*k**3\/5 + 1738*k**2\/5 - 700*k - 4704\/5 = 0.\nAnswer: -7, -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -170a7?\nAnswer: 170b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b*b*b*(b*b\/b**(12\/5))\/b)*b)))\/(b**(-3\/4)\/b)*(b**(-2\/5))**24)**(1\/89) assuming b is positive.\nAnswer: b**(-149\/1780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 - 4.9. What is the biggest value in -4, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -685?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2 - 2*g**3 + 0*g**3 + 3*g**3 - 3*g**3 - 12*g - 8*g**2. List the prime factors of u(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137.385592 - 137.595594282. Let p = w - -0.21. What is p rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 463*y - 112*y + 1 + 352*y + 0 to the form m*y + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 7*s + 2*s. Let d(h) = -2*h**2 - 3 + s + 3*h**2 - 7*h. Let o(b) = 25*b**2 - 47*b + 1. Let f be o(2). Give d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/17)\/(c**28*c) assuming c is positive.\nAnswer: c**(-490\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2761.95t to nanograms.\nAnswer: 2761950000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 255, 522, 789, 1056, 1323?\n\"Answer: 267*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 190.9 and 156.\nAnswer: 29780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2157 + -3?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 398 = -z, -o - 4*z = -4*o + 305. Suppose 604*m - 459 = 587*m. What is the remainder when o is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from nccpcnnnfp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**7\/504 + r**6\/720 + r**4\/12 + r. Let v(n) be the third derivative of i(n). What is v(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279*h**4 + h**3 - 188 with respect to h.\nAnswer: -1116*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 1965858 = -1965747 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)\/(r*r\/r**(-2\/35)))**(-11\/6) assuming r is positive.\nAnswer: r**(1166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -29*w**6\/90 - w**5\/60 + 29*w**4\/36 + w**3\/18 - 5*w - 68. Find n such that r(n) = 0.\nAnswer: -1, -1\/29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6140 and 5545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 + 36*f**2 + 2*f + 21. Let h be r(-12). Suppose -3*g - 15 = 15. List the prime factors of h + (g\/35 - 835\/(-7)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -89. Let a(y) = 31. Let o(w) = -23*a(w) - 8*x(w). Let f(t) = 2*t**3 + 3*t + 3. Let s = 0 + -1. Calculate s*f(q) - 3*o(q).\nAnswer: -2*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 937 and 34709291?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -11)\/((-9130)\/506 + 18)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i - 7*i**2 + 3*i**2 - 23*i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/7 - 102*l**2\/7 - 1240*l\/7 - 600 = 0.\nAnswer: -35, -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 3*h**2 + h - 2. Let q be j(4). Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 4*z - 8. Let f be k(-6). Suppose 2*v - f*v = -8. Let o(l) = -l**3 + 4*l**2 + 4. Let p be o(v). Solve 5 + p = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**6 + 8*a**3 - 3*a**2 + 501*a wrt a?\nAnswer: -600*a**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*h + 752*h - 88*h + 1969*h in the form k + r*h and give r.\nAnswer: 2747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/4)*w*w)\/w)**(-4\/13)*(w**0\/w*w)**(-41))\/(((w\/(w*w**(2\/17)))\/w*w**(-1))\/((w**0\/w)\/(w\/(w*w*w\/((w**(-1\/4)*w)\/w)*w)))) assuming w is positive.\nAnswer: w**(3657\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from rcokccockcooccko?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*a**2 - 3*a**4 - 2*a**4 - 9*a - 55*a**2 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (7 + -13)\/2 + 6. Let o(l) = -7*l + 46. What is o(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 24*n**2 - 2*n - 46. Let u be r(-24). Suppose 3*o + 5*t = -63 + 967, -2*o - u*t + 608 = 0. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let g(w) = -2*w**2 - 344. Determine p(g(y)).\nAnswer: 2*y**2 + 344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**4 + 2*m**3 - 3*m**2 - 2. Let y(d) = -3*d**3 + 3*d**2 + 3. Let a(q) = -3*s(q) - 2*y(q). Find the third derivative of a(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93651 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 2*h - 6. Calculate the remainder when w(6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 243 + -163. Suppose 2*n + v = 3*w - 5*w, -4*w - n = 175. List the prime factors of 212\/18 + (-10)\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01959 + 660.11959. What is o rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 4254621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 7:01 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llo. What is prob of sequence lo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. What is the units digit of -9*(l + -1)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -11*n + 16*n. Calculate the remainder when 173 is divided by 2980\/50 - (-3)\/n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.08 - 72.8. Let k = -73 - f. Let m = k + -1.8921. What is m rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2 + 1 - 3*r**3 - r**3 + r**3. Suppose 4*g - 3 + 15 = 0. Let n(u) be the third derivative of -u**3\/6 - 27*u**2. Give g*n(s) - j(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037626000 rounded to the nearest 1000000?\nAnswer: 2038000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.5 - -52.5. Let j = 102.2 - p. Let m = -50 + j. What is m rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 34*r + 19. Let c be f(17). Suppose 2*y = n - c, -4*n = -4*y - 9*n - 17. Let i(d) = d**2 + 10*d + 10. Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28927, 29252, 30131, 31840, 34655, 38852, 44707, 52496?\n\"Answer: 46*w**3 + w**2 + 28880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 536\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 299396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 7*i = 6*i. Let x(y) be the third derivative of -1\/70*y**5 - 1\/56*y**4 + 0*y - 1\/280*y**6 + i*y**3 + 6*y**2 + 0. Factor x(l).\nAnswer: -3*l*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/21 and -25\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 23*n - 25*n - 12, 0 = 5*n + 30. Solve -f + k*f + 9 = -5*q, 14 = -4*f - 5*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*k**3 - 435*k?\nAnswer: 684*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*(-255)\/(-17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + i - 4*i. Let k(h) = -3*h. Let c(l) = l**2 + 12*l. Let r(w) = -c(w) - 4*k(w). Give p(r(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 14. Let z = 64 + -68. Sort z, 2, c.\nAnswer: c, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/5054 and 97\/428146?\nAnswer: 2997022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 11. Suppose 0 = 3*d - d - 4. Put -5, d, v in decreasing order.\nAnswer: d, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 16.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6659 + -6656. Solve 47 = 11*n + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 9) in base 12?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -0.1. Let k = x + 0.16. Which is the nearest to k? (a) -0.3 (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -1*sqrt(228)*6)\/(2*sqrt(108)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-7)\/((-28)\/8). Let w = -297\/5 - -60. Let f be 13\/6 + -1 + -1. Put w, s, f in decreasing order.\nAnswer: w, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 950.0404 tonnes?\nAnswer: 950040400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 896 and 551376.\nAnswer: 4411008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665167735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -2, -7, 64 in decreasing order.\nAnswer: 64, 1, -0.1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -5*n**2 + 0*n + 0 + 1\/12*n**4 + 0*n**3. Let i(l) = -3*l. Determine i(j(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440 = 163*w - 1479 + 963 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:42 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, n: 2}. Give prob of sequence nt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1468342*d**2*f**2 - 51690*d**2*f + 14*f wrt f.\nAnswer: 2936684*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2 - 5*x**2 + 0*x**2 - x - x**3 - 3. Let m be (-10)\/(-20)*(1 + -11). Let v be n(m). Solve 8 = -3*l - v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6328 divided by 904\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**3 - 3*p + 3*p)*(p + 2*p - p) - 1288*p**4 + 152*p**4 + 33*p**4 + 0*p**4 + p**4 + 0*p**4 as x*p**2 + t*p**4 + j*p + w + s*p**3 and give t.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5222 and 985.\nAnswer: 5143670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.04 + 2. Let c = 0.04000008 + d. Round c to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 13*g + 3. Let v be q(-3). Solve 0 = 3*i - d - 14, -2*i - i = -3*d - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 16\/(-6))*-501. Is f\/(-4)*2 - 3 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 17*x**2 - 24*x + 112. Determine f(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 400245, 400328, 400421, 400524, 400637?\n\"Answer: 5*c**2 + 68*c + 400172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjb when three letters picked without replacement from bkj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let z be j(4). Let f(m) be the first derivative of 2*m**3\/3 - 3*m**2 - 5*m + 14. Let d be f(z). Solve -d*q + 20 = 2*k, 0 = -4*q + 15 + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/(-4) + -1)\/(774\/(-1032)). Sort f, -3, -46, -2, -1 in increasing order.\nAnswer: -46, f, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749660 a multiple of 1446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 14) to base 2\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/3, 550\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -294940.4 rounded to the nearest 1000?\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 3*w - w + 7 - 7 - 2*w + (1 - 2 - 1)*(3*w - 4*w + 3*w) - 89 + 89 - 3*w)*(3 - 1 + 0) as s + c*w and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -9. Suppose 2*g = 4, 3*r + u*g = 7 + 14. Solve -r*o = -2*o + 5*d - 7, 3*o - 4*d + 11 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 693\/10*p - 6*p**4 + 1\/10*p**5 - 106\/5 + 193\/5*p**3 - 404\/5*p**2 = 0.\nAnswer: 1, 4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Calculate 1.4*-566102.\nAnswer: -792542.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(2) - sqrt(32))*-2 + -3 + -1*(-1 + 0 + sqrt(648)))**2.\nAnswer: 72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/44296 or 94?\nAnswer: 5\/44296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(119) + (sqrt(119) - (sqrt(119)*1 + sqrt(119)) - sqrt(119)))*5 + 6*(sqrt(119) - (sqrt(119)*2 + sqrt(119))))\/(6*-3*sqrt(1008)).\nAnswer: 17*sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 26. Let f = 128720.9999 + -128704. Let u = g + f. What is u rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 6. Let j be u(2). Solve -j*z = -15 - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**2 + 29. Let z(a) = a**2 - 1. Let o(x) = -2*h(x) - 22*z(x). Differentiate o(f) with respect to f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643527 is divided by 2072?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((372\/(-60))\/31)\/(1\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 4*s - 7. Let a be i(-6). Let l be -4*(a\/(-2) + 2). Let y(n) = n + 5. Let x be y(-3). Calculate the greatest common divisor of x and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14927)\/(-99) + (-1)\/18*-4.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b - 175. Let v(m) = 2*m. Give n(v(k)).\nAnswer: 12*k - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4953 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10.45921 - -5\nAnswer: -5.45921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57988 - 1403*c - 57988.\nAnswer: -1403*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -2. Let n = -580 - -412. Let b = 170 + n. Sort -2\/7, m, b.\nAnswer: m, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*1*sqrt(112))**2*-2.\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7659 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from mwmmmmmwmwwwmwwwwmw?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18974 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 95 = 5*v, -r = -4*v + r + 82. Let d be 278\/12 - 6\/36. Suppose 0 = 4*u - d - 13. Calculate the highest common divisor of u and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-0.12.\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -30.04. Let j = q + 1.96. Which is the second biggest value? (a) j (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-5)*10\/3*1260\/2058\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:34 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 6. Let w be x(0). Let t be -16*1 + 4 + w. Let l = t + 26. Solve -4*u + 0*f + f = 6, 4*f = -l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1563209, -1563205, -1563201, -1563197, -1563193, -1563189?\n\"Answer: 4*w - 1563213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 26*s**2 + 54*s + 92. Let p be t(-28). Calculate the highest common divisor of 28 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 1.2. Let i = 0.2 + g. Let z = 731 - 730. What is the second biggest value in i, -0.4, z, -0.16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w**2 + 3 + 2*w + 1\/66*w**4 + 1\/33*w**3. Let u(x) be the first derivative of l(x). Find t, given that u(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 2*h + 21*v - 24*v, -2*h - v = -7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15 - (-7 + -4)\/1. Let z(f) = -19*f + 16*f + 2*f**2 + 4 + f**2 + f**3. Determine z(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 42 = -4*g + 40 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6418?\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 513\/27937 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r + 16. Suppose w - 30 = -r*w. What is the remainder when 17 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*h**2 + 5723623*h + 565280181 wrt h.\nAnswer: 92*h + 5723623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -921.\nAnswer: -10\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4746, 18981, 42706, 75921, 118626, 170821, 232506?\nAnswer: 303681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 112*o + 824. Give l(-8).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.0988\nAnswer: -0.01976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 378*u + 3894. Calculate c(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -6.\nAnswer: -12, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3284 and 4?\nAnswer: 3284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 - 3\/20*b**5 + 0*b**4 + b + 2\/3*b**3 + 0*b**2. Find the second derivative of g(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = t. Find the second derivative of -w**3 - 6*w - 3*w**t + 8*w wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16432, -15953, -15152, -14029, -12584, -10817, -8728?\nAnswer: -6317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**(-2\/7)*j*j**(-1)*j*j**(-8)*j*j assuming j is positive.\nAnswer: j**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -563, -2, 5, 2 in increasing order.\nAnswer: -563, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/(-8))\/((-120)\/(-96)). Let u = -8.3 + 8.6. What is the nearest to u in 0, r, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 32*g**2 + 24*g - 3. Calculate p(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 + 8*s**3\/3 + s**2\/2 + 7*s - 20. Let j be n(-9). Is 15 a factor of j*((-1)\/3)\/(1\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 8 = -36*p. Solve -w = 2*m - p, 4*w + 4 = -4*m - w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210414 is divided by 210293?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.3 - 80. Let d = l + 19. Let b = d - 1.3. Is -1\/6 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(((-572)\/(-33))\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2618 - -2598. Let k be 5\/2*8\/50. What is the nearest to v in -0.1, k, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2 - 1. Suppose 3*b = 3*d - d - s, -2*d = 2*b + 14. Let c be -1*b\/(-5) - -1. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-8)*(36\/15)\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d - 7. Let f be t(4). Let x = 29 - f. Is (-3)\/(-6) - 2*(-22084)\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.91 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k*s**4 + 6*k*s**3 + 2*k - s**2 wrt s.\nAnswer: 384*k*s + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647528?\nAnswer: 2, 7, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 521515889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -28. Calculate the greatest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106190 divided by -518?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*2 + (1*(sqrt(1900) - sqrt(19)))**2 + (2*(sqrt(19) - sqrt(76)\/sqrt(4)) - (sqrt(19) - (sqrt(38) - sqrt(76)\/sqrt(2))\/sqrt(2))) + 1.\nAnswer: 13*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-351))\/((-1)\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 + 1. Let d(s) = -s**2. Let b(n) = 6*d(n) + m(n). What is the remainder when b(-2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3468122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*z + 22, 0 = -15*x + 10*x - 4*z + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 + 21\/7. Which is the nearest to 0.1? (a) 2 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(50)*-6)\/(sqrt(120)\/(sqrt(36)\/sqrt(3))) + (-1*sqrt(315)*-4 + sqrt(315))\/sqrt(7).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*v = 231*v + 70 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2. Let z(g) = -144*g**2. Give q(z(y)).\nAnswer: -41472*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-2100)*-15*(-8)\/6*4\/(-8)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.97 - 0.33. Let i = f - -21. What is the fourth smallest value in -3, 0, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/36908 (c) -4 (d) -16 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*m - 726 = -2920 - 3694 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/23)))\/(h*h**2))**(6\/5) assuming h is positive.\nAnswer: h**(-408\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -746.308776 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100075249327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.1. Let i = 89\/3 - 30. Which is greater: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 40 - 1392 = -5*t, -2*z = 2. Let i = t - 191. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 18, d: 1}. What is prob of sequence nnn?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -133*j + 128. Let x be l(6). Let u = -295 - x. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4*7\/(-56).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8520425312.\nAnswer: 2, 7, 38037613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 11\/3, -272, 2\/5, 21 in descending order.\nAnswer: 21, 11\/3, 2\/5, 0.2, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*u**4 + 11*u**3 - 2749*u.\nAnswer: 768*u**2 + 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31137 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 1\/2*i**3 + 7\/2*i + i**2.\nAnswer: -(i - 4)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1054554 + -22?\nAnswer: 1054532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeeeeeqxxeqe. Give prob of picking 3 x and 1 q.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 2*y - y)*(-2*y**2 - y**2 + 0*y**2) + 4*y + 8*y**2 + 24*y**3 - 7*y**2 - 21*y**3.\nAnswer: 24*y**3 + y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/21100 and -79\/993810?\nAnswer: 9938100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 + 8*r**4 + 6*r**3 - 8*r**2 - 8*r.\nAnswer: 2*r*(r - 1)*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -10561 and -95041\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v**2 + 27*v**2 + 17*v**2 - 329*v - 3.\nAnswer: -8*v**2 - 329*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 163735.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24021, 1\/5, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -22\/7, 1396, -0.3, -2, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 66 = 3. Suppose -c*g + 10*g = 99. Calculate the remainder when 95 + -1 + 1 + 0 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 15 = -3*t + 11, -4*t + f + 41 = 0. Suppose 2*g - t + 6 = 0. Suppose -30 = -g*b + 24. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -7\/6*c**3 + 0 + 3\/10*c**5 + 0*c**4 - 6*c + 0*c**2. Find the second derivative of b(h) wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.234, -3\/8, -0.4, -17, -3, 0.018?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 116637922.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-27) - 1\/(108\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*s**3 + 27*s**3 + 18*s**3 - 120*s**3 - 35*s**3 - 65*s**2 wrt s?\nAnswer: -1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, 7165, 21694, 43523, 72652, 109081?\n\"Answer: 3650*m**2 - 3721*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100101111000 (base 2) in base 13?\nAnswer: -13031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 16, 21, 24, 25, 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20224 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 101?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/30 + 2*d**2. Let v(p) = -243 - 261 + 504 - p**2. Determine r(v(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 19.48. Let g = -7.28 - -7.7. Let l = g - i. Sort 1.1, l, 0.5, 0.2 in descending order.\nAnswer: 1.1, 0.5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.5. Suppose -2*f + 6 = 2. Let i be 0 + 3\/(-63)*-6. Which is the closest to 1? (a) i (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37739\/3 (b) -2\/7 (c) 0.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 1. Let a(f) be the first derivative of -f**4\/12 + f**3\/6 + f**2\/2 - f + 3. Let r(i) be the first derivative of a(i). Determine -n(p) + r(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(39\/(-845)) + 45?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -73 - ((5 - (-2 + 12)) + 7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*1)**2 + -2 + -2 - (((sqrt(22)\/sqrt(2))**2 + -5 - sqrt(11) - sqrt(11)) + (sqrt(11) - sqrt(33)\/sqrt(3)*4)).\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20242 + 20241. Is 2\/13993 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10163347*s + 2048 = 10163379*s for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4 + 8*n**3 - 6*n**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**9\/20160 + z**8\/1344 - z**7\/210 + z**6\/60 - z**5\/5 - 17*z**2. Let i(d) be the third derivative of u(d). Factor i(g).\nAnswer: -3*(g - 2)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3994*w**2. Let k(j) = 112*j. Determine v(k(x)).\nAnswer: 50100736*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25004189897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113, -69, -25?\n\"Answer: 44*c - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.01921531?\nAnswer: 0.01921531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:13 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f + 11. Let a(d) = d**2 - d + 8. Let w be a(0). Suppose 0 = 3*m + 2*m - 50. Calculate the remainder when m is divided by n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -21, -4, 5, 4, 6, -17.\nAnswer: -21, -17, -4, 4, 5, 6, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 61*n = 32*n + 678774. What are the prime factors of n?\nAnswer: 3, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18*v. Let h(p) = 91156*p. What is f(h(j))?\nAnswer: -1640808*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111880522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*z + 174252, 20*z = 21*z - 1. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7962 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 4. Let s = -5 + 3. Let w = v + s. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3*t**2*u + 326*n**3*u + 8*n**3 - 5*n*t**2 wrt u.\nAnswer: -n**3*t**2 + 326*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -762, 0 in increasing order.\nAnswer: -762, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/3, 3, -0.5, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*i - 147. Let s = i + 73. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1364346795 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r + 13. Let i(f) = 9*f + 12. Let s(z) = -6*i(z) + 5*m(z). Let o(w) = 10*w + 21. Let c(u) = -3*o(u) - 8*s(u). What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 2. What is the units digit of 12 + (-4)\/r + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 20, 44, 74, 110, 152?\n\"Answer: 3*l**2 + 9*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -65. Let y be (2 + (-10)\/6 + 0)\/(-1). Which is the smallest value? (a) y (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549 + -434 - (118 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.951 - -450.049. Let q = u + -453. Which is the smallest value? (a) q (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2, 1, -28 in decreasing order.\nAnswer: 3, 2, 1, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*y + 55*y + 24*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 16*u**2 + 4. Suppose 3*y + 4*j = y - 16, j + 16 = -2*y. Let p be m(y). Suppose 67 + 61 = p*w. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7273 + -5152. List the prime factors of h.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2127133 + -6?\nAnswer: 2127125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*a + 4*x - 80, -5*a - x - 23 - 26 = -3*x - 35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f + 19*f - 41*f in the form d*f + p and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001011011 (base 2) in base 5?\nAnswer: 131321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -5. Let l = t - -6. Let q = -61 - -61.2. Put -1, q, l in increasing order.\nAnswer: -1, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1416810 to the nearest 10000.\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 2\/(-6). Let y be (-16)\/(-7) - -6*(-2)\/42. Let r be (21\/9 - y) + 4\/60. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 2*sqrt(192)))**2.\nAnswer: 5760*sqrt(3) + 28548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13498, 53829, 120996, 214999, 335838, 483513?\nAnswer: 658024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let q be (0 - 3)*(0 + -1). Solve q = 2*b - w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 268 - 268 - 172*j + (-j + 3*j - 4*j)*(-1 - 1 + 0) + 0*j + 4*j - j + (-6 + 5 + 3)*(-j - 2 + 2) to a*j + m and give a.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Suppose 6*d + 3*s = w*d - 14, -d = -3*s + 7. Let c(f) = -f - 6. What is the units digit of c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 - 6*b - 2. Let f be 1342\/33 + (-1)\/(-3) + -4. Suppose -4*j + 26 = -5*y, -5*y + j = -8 + f. Calculate d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 88*n**2 + 460*n - 452. Calculate f(-93).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.63 rounded to zero dps?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1607 divided by -3.\nAnswer: -1607\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 39 = -y + 2*f, -2*f = -5*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:25 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w + 15*w - 22*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 263898, 527790, 791682, 1055574?\n\"Answer: 263892*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -75, -115, -155, -195, -235?\n\"Answer: -40*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/25*(1 - 6). Let k(a) = -a**2 + 7*a - 4. Let d be k(6). Solve -4*h + d*v = c, 0*h = -3*h + v - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 691*h**4 + 39*h**2 - 446*h**2 - 131*h**2 wrt h?\nAnswer: 16584*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -449.8 - -524. Let q = i - 74. Which is the closest to q? (a) 3 (b) -4\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -20, 1.04, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n + 3. Let r(m) = 6*m + 4. Let t(s) = -4*g(s) + 3*r(s). Let o(i) = -21*i. What is t(o(y))?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3267 and -10\/23111.\nAnswer: 623997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138\/91? (a) 2\/5 (b) -1\/6 (c) -0.5 (d) -296 (e) -2 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 - 66. Let j(d) = 7*d + 193. What is the least common multiple of j(-19) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3961809990.\nAnswer: 2, 3, 5, 44020111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 9. Let r(y) = -y - 4. Let z(f) = -4*i(f) + 9*r(f). What is the units digit of z(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1160*j**3 - 4*j**2 - 7*j - 2. What is the units digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 42*y + 7*z + 798, -4*y + z + 69 = 145 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56980819 - -56980814.80000084. Let b = 2.6 - -1.6. Let i = b + k. Round i to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8873222 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -19 (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(672) - (2*sqrt(672) - sqrt(672) - sqrt(672))) + sqrt(672) - 4*sqrt(42)*1)\/(sqrt(30)\/(-1*sqrt(45))).\nAnswer: -12*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from skvecdd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offeyfwffowyooowyoo. Give prob of sequence fwfo.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/((y\/((y**(-22)\/y*y)\/y)*y)\/y)*y*y*y**0 assuming y is positive.\nAnswer: y**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31181934867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23190 or 23193?\nAnswer: 23193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-170)\/(-119)*(0 + 539). Calculate the greatest common divisor of v and 1210.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 505158334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 290*f**2 - 444 with respect to f.\nAnswer: 580*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3414?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201908*l*o**3 - 6*l*o**2 - 22792*l*o wrt o.\nAnswer: -1211448*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 59*u - 34. Give i(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-100))\/((-10)\/(-50))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*t + 6236, 0 = -32*v + 27*v - 4*t + 10389. Calculate the remainder when v is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -10. Let a be (-17)\/(-3) + 2\/h. Suppose a*j = -5*o + 5, 10 = 3*j - o - 3*o. Calculate the least common multiple of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6175 is divided by 5256?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26113, 23956, 21799?\n\"Answer: -2157*q + 28270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 7*q + 817. Let h = 70 + q. Let x be 2\/6*(18 - h). Solve -x*j = -10*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522.72532 rounded to the nearest ten?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -87, -177, -267, -357?\n\"Answer: -90*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -78390?\nAnswer: 78389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -53.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3*(-6)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 5 + 0*f**2 + 0*f - 1\/3*f**3. Let l(m) = 12*m**2. Give a(l(w)).\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340397?\nAnswer: 340397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {w: 4, n: 1, z: 1, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1673320344 divided by -3.\nAnswer: 557773448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtq when three letters picked without replacement from {q: 2, t: 3, c: 1, k: 1, l: 1, o: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4853789+0.029869\nAnswer: 4853789.029869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 5*v + 2. Let m be w(9). Let c = -91 + m. Calculate the highest common divisor of 407 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 + 3.81046. Let a = n + -0.01. What is a rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -15*y + 2. Calculate m(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 1\/3*b**3 + 0 - b**2 + 102*b. Suppose 4*l + 2*k + 1 - 27 = 0, 3*l - k - 17 = 0. Let o(m) = -6*m + 6. Give l*o(y) + 17*n(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.4082782 to 3 decimal places.\nAnswer: -4.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402543 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -2*s - 5*f = -8, s - z*f - 3 - 10 = 0. Suppose 3*w = s, -30 = -2*d + 4*w + 32. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 21.9 (b) 4 (c) 1 (d) -4 (e) -0.4 (f) -0.462\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/20 + 1)*(-333 - -445)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7822 is divided by 124.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 322, 432, 530, 610, 666, 692, 682?\n\"Answer: -b**3 + 117*b + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 513\/(-114)*(-5)\/(-18)*(-36)\/45*28.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 17*q\/2 - 21.\nAnswer: -(q - 14)*(q - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4787408761 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 0 - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568910?\nAnswer: 2, 5, 56891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 878005600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awww. What is prob of picking 2 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 3586 - 3610 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1435020102 + 0?\nAnswer: -1435020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(3\/8)*v)\/v)\/(v*(v\/(v\/(v*v\/(v**5*v*v)*v*v)))\/v*v)*(v**(-1)\/v)**(19\/5) assuming v is positive.\nAnswer: v**(-199\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(140\/(-24))*21\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1091594 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 1972796502*o + 324327169858619667.\nAnswer: 3*(o + 328799417)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-930)\/(-279))\/(6\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - -3.08. Let y = 3 - t. Let k = -2 - y. Put -1, k, 0 in decreasing order.\nAnswer: 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1737 by 579.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48857806 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 2*g + 3*g**2 + (1503 - 1503 + 185*g)*(3 - 3 + 2*g) in the form d + l*g**2 + o*g and give l.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -794229, -794228, -794227?\n\"Answer: t - 794230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 498930375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {f: 7, k: 6, d: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:36 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttntttnnznntqqtntt. What is prob of picking 2 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 174164, 5, -4, -0.4, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 77 + 11. Suppose -9 = -r + 2*g, -r - 3*g - 3 = -27. Let o = d - r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727477607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 4*n - 7. Let g(j) = 13*j - 23. Let w be g(16). Let z = w - 169. Calculate the remainder when i(-5) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(9\/6210*40)*4\/6.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/15*8*(4\/48)\/1.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1708926 and 542.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from vvzyrovzozo?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-27)\/72 - (-6)\/16) + -9 + 252 and 252?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 + 7*p + 18. Let s be k(-5). Suppose -2*i = -s - 16. Calculate the remainder when 83 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 2. Suppose -6 = 6*h + 12. What is j(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 + 3*f - 1. Let d = 14 - 14. Let o = d - -2. Let r be a(o). Solve 3*c - r = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-62070)\/4)*-5. Let x be 18\/(-81)*12\/(-8)*0. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 18 = 3*l. Let f be (3\/l)\/(2\/6). Let n be (3\/(-18))\/(3\/9)*0. Sort f, 3, n.\nAnswer: n, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**6\/72 - 11*v**5\/120 - v**4\/6 + 4*v. Let d(o) be the third derivative of w(o). Is d(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a century in months?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 17. Let j = 33 + k. Let l = -12 + 66. Calculate the remainder when l is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by -399.\nAnswer: 109\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -2*k, -14*k = 2*y - 17*k + 20. Solve -11*s = -15*s + 4*b, -2*b + 20 = y*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 1267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 times 12.41\nAnswer: 0.13651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/848 + -543\/14416. Which is bigger: 5\/4 or s?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {f: 6, w: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z*z**(-1))\/z)\/z))**26*z**(3\/7)*z*z*z**(1\/17))**42 assuming z is positive.\nAnswer: z**(57468\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*j - 0*j + 575, -4*j = -2*l + 1142. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szze when four letters picked without replacement from {z: 7, s: 6, e: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/3 - 25\/24. What is the closest to -0.3 in 1, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449828 is divided by 81.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 690828 and 93.\nAnswer: 21415668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n - 20 = 0. Let o = 231\/5 - 47. Sort n, 1, o in increasing order.\nAnswer: o, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.7? (a) -26 (b) -0.1 (c) 40\/7 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjffyjj. Give prob of picking 2 j and 1 y.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 10:40 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8090 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1023, -2, 32\/3 in increasing order.\nAnswer: -1023, -2, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w*w**(-7)*w*w*w)\/w)\/w)\/w*w**(-6))\/(w*w**(-3\/2)\/w*w\/((w**(-3\/5)*w*w)\/w*w))*(w**(-5)\/w**(-5\/2))\/(w**(-2\/3)\/(w**(-4\/9)\/w)) assuming w is positive.\nAnswer: w**(-512\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:50 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j**2 - 15. Let h(m) = 5*m**2 + 4. Let o be ((-150)\/(-10))\/(1\/(1 - 2)). What is o*h(g) - 4*l(g)?\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-703 - -814) + -58 + -8\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**9\/f)*f*(f**13\/f*f)\/f)**(2\/13) assuming f is positive.\nAnswer: f**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - g, 4*t - 5*g - 12 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (63\/(-36))\/((-2)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 132, 449, 968, 1695, 2636?\n\"Answer: m**3 + 95*m**2 + 25*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/133, -0.7, -0.4?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15*v**3 - 2*v**2 + 2\/15*v**4 + 0*v + 0.\nAnswer: 2*v**2*(v - 3)*(v + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*b + 20, -2*n - 19 = -n - 4*b. Let h be n\/(-1) - 13164\/(-180). Let c = 72 - h. Sort c, -3, -1\/3.\nAnswer: -3, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, 248.4, -56, -1\/4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1063*y - 375. Is u(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 8) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15882112 and 162560.\nAnswer: 158821120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/66*2 + -1. Let a = -746 - -746. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14\/5, -6\/11, 5\/4, 8, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2 + 17*w + 5. Let c(h) = -7*h**2 + 18*h + 3. Let x(m) = -6*b(m) + 5*c(m). Calculate the remainder when 180 is divided by x(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*f - 597 = 0, -3*f = 3*w - 444 - 6. Calculate the remainder when w is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfzgfrmmzmfmzmmgfrhr. Give prob of sequence hgh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 + 2 + 0 + 8*k**2 to the form m + u*k + l*k**2 and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27990616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1588059, -3176074, -4764045, -6351972?\n\"Answer: 22*y**2 - 1588081*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5037 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45, -164, -357, -624, -965, -1380, -1869?\n\"Answer: -37*o**2 - 8*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - 1\/1) + -3. Let o be (0 + 1)\/(i\/(-22)). Let h = 4.07 + -0.07. Which is the closest to o? (a) -2\/15 (b) 2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -28. Solve -g*d + 6*d = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14037623*l**4 + 1373436*l**2 - l wrt l.\nAnswer: 336902952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 + 6*s**2 + 19*s - 20. Let w be x(7). Let k = w + -1168. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -7037?\nAnswer: -7036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 143627, 143618, 143609?\n\"Answer: -9*m + 143636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.1. Let o = l + -0.4. Suppose 0 = -3*v + 8 + 4. What is the biggest value in 0.3, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2641319*v**4 - 22*v**3 + 29771*v**2 - 8*v - 146 wrt v.\nAnswer: 63391656*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15653 by 15653.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 5*m + m)*(2*m**4 - 6*m + m - m**4) + 46*m**4 + 3*m**5 - 46*m**4.\nAnswer: 7*m**5 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 2. Let k(n) = 3*n - 2. Calculate 5*k(f) - 4*y(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 != 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4\/3 + 38*s**3\/3 + 275*s**2\/3 + 382*s\/3 - 232 = 0.\nAnswer: -29, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1110 + -2?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2 - 1) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 37*p**2 - 632*p - 249. Determine f(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -10) + 2 + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 - 28*l**2 - 62*l + 49. Determine m(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {u: 1, o: 2, z: 1, t: 1, x: 1, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 + 11370*q + 240093 = 0.\nAnswer: -21, 3811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246 - -1484. Calculate the highest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 + 5*b**3\/6 + b**2. Let v be o(-6). Solve 0 = 3*u + 2*n - v, -4*u - 2*n + 9 = -5*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.07 + 1.27. Which is the third smallest value? (a) -2 (b) r (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81270 and 1134?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694283219.\nAnswer: 3, 19, 9908089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4 - 8*p - 2*p + 1085*p**2 - 7943*p**2 - 168*p**2. Let n be k(6). What is n rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659958178.\nAnswer: 2, 3, 443326363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2622*a - 169 = -2453*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s. Let q(l) = -20*l - 44. Let t(n) = n + 2. Let m(x) = 2*q(x) + 44*t(x). Give m(z(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r**2 + 2*r**4 + 4*r + 4*r - 17*r**2 - 8 - 6*r as o*r**2 + t*r + q*r**3 + w + y*r**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -25*x + 8. Give h(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 104*a - 250. Calculate y(3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651845731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1245180 divided by -30.\nAnswer: -41506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 = 3*v, 0*v + 2*v + 20 = 3*k. Let w be (-5)\/(10\/k)*1\/2. Sort w, -3, -4, 2 in ascending order.\nAnswer: -4, -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 264, 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z - 23*z - 27*z + 2*z**3 + 73*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 5. What is the remainder when 65 is divided by x(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*s**5 + 654332*s**3 + 3*s**2 - 6800199*s + 13.\nAnswer: -10560*s**2 + 3925992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 244?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -12 - (15 + -25 - -15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 32924801?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -413004141 (base 5) in base 12?\nAnswer: -694a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((1\/6)\/((-25)\/75))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3144 and 840.\nAnswer: 110040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 41680359.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let n(g) = -17*g - 23. Let m(y) = n(y) + 2*t(y). What is the derivative of m(p) wrt p?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(1495\/(-5) + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5 - 4 = 3*l, l = 5*o + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5125580 is divided by 11569?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3078 and 486.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -55.8, 1\/4, 6, 2\/29 in descending order.\nAnswer: 6, 1\/4, 2\/29, -55.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196 - -200. Let g(t) be the first derivative of 1\/3*t**3 + 1\/8*t**r - 1\/4*t**2 - t - 1. Let g(m) = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.031 - 0.091. Which is smaller: -1\/3 or s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.96 + -5. Let s = 0.04035 + n. What is s rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 11:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 9 + 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 + 0 - 2*s**3 - s to the form p*s + l + g*s**2 + m*s**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010 - 1110?\nAnswer: 10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382542731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-14)\/(-21) + 55\/75).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7646557020 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/18 + 16\/(3 + -7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79624.\nAnswer: 2, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 206 - 1462. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 5*d = 13*n - 25483, 0 = -n - 3*d + 8513. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -948714700 to the nearest 100000.\nAnswer: -948700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 16*q**2 - q**2 - 2*q**2 - 7 as u*q + f*q**2 + s and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-1089)\/135 + 8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199200 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66534)\/(-9) + 2\/(-3). Let a = y + -118203\/16. Calculate the common denominator of (-92)\/(-30)*15\/(-36) and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4 + 65*j**3 + 472*j**2 + 912*j = 0.\nAnswer: -57, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-112)\/24))\/(12\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 58 - 18 = 0. Suppose c*f + 2*z - 4*z = 0, -3*f + 2*z = 2. Solve -3*j = -g - 5, -g + f = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71 times -0.2?\nAnswer: -0.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 9. Let m be -3*(-3 - -2)*-3. Let i be n(m). Let y be 2\/5*(-5)\/(-9). Which is the nearest to i? (a) 4\/5 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/3 + 3*f**2 - 11*f + 2. Suppose 17*x + 680 = -22*x - 46*x. Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(605) + 2) + ((2 + sqrt(605))*1 - sqrt(605)) + -4)**2 - ((sqrt(605)*1 + -2)**2 + sqrt(605) + -1 + -4 + -1).\nAnswer: 297*sqrt(5) + 1853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 767, 3076, 6931, 12332, 19279, 27772, 37811?\nAnswer: 49396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*b + 136, 4*b = -2*y - 6 + 284. Calculate the remainder when b is divided by 3\/4 + 345\/20 - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b - 6*b**3 - 10*b**3 + 3*b - b**2 + 35*b wrt b.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**3\/9 + 1102*v**2\/3 + 1214404*v\/3 + 1552. Factor f(p).\nAnswer: (p + 1102)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + 0.17. Which is the third biggest value? (a) -7 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(6 - 7 + 5*x + x).\nAnswer: 12*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 81.7. Let t = -0.319 + n. Let b = t + 0.019. Sort 4, b, -2\/11, -9\/2 in increasing order.\nAnswer: -9\/2, -2\/11, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92.19731 millilitres?\nAnswer: 0.09219731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7))\/(96\/(-192))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 - 17 = 0. Suppose -6*q - 10 = -q + 4*x, 5*x = 2*q - l. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 27*b**2 - 1428*b - 11405. Give r(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -110*y + 1. Give s(-1).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4548 by -6.\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2335\/332 or -7?\nAnswer: -2335\/332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (25 - 23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - g = b - 9, -4*g + 4 = 4*b. What is the common denominator of 134\/(-24) + b\/(-3) and -21\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*q*z**3 - 2004*q*z - 17*q + 6*z**3 - 271*z**2 + 3*z + 14 wrt q?\nAnswer: -40*z**3 - 2004*z - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403304 (base 5) to base 6.\nAnswer: -135550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m + 5. Let c(l) = l**2 - 4*l + 4. Let d be 0\/2 - 6 - -1. Let u(f) = d*c(f) + 4*y(f). Let k(t) = 33*t. Calculate u(k(n)).\nAnswer: -1089*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(847) + sqrt(847)*-1) - sqrt(847))**2*-1.\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttthftfr. Give prob of sequence ftt.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3632, -6921, -10210?\nAnswer: -13499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11287*a**3 + 455 + 10307*a**3 - 453 + 0*a**3 + 3*a**3 - a**3 + (1 - 3 + 3)*(-a**3 - a**3 + 3*a**3) + 5*a**3 - a**3 - 5*a**3.\nAnswer: 21596*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 4, o: 8, k: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10824*s + 2 + 6 + 10881*s.\nAnswer: 57*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 137*s. Let u(g) = 32*g. Determine d(u(i)).\nAnswer: 1024*i**2 - 4384*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 679, 591, 493, 379, 243, 79, -119?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 56 = 0. Let a(m) = m + 8. Let o be a(6). Calculate the greatest common divisor of u and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1011*c + 1320*c - 106466 = -1925*c - 14872 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 2*q + (0 + 2 - 4)*(0*q + 0*q + 2*q))*((0 + 0 - 1)*(-2 + 7 - 2) + 1 + 1 - 3)*(-q - 3*q - 2*q).\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 45297?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/10*(-4)\/(-3). Let b = 14 - v. Suppose -239*p + 119 - 19 = -229*p. Calculate the least common multiple of p and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let o(i) = i. Let f(t) = 2*o(t) + 2*x(t). Let d(p) be the third derivative of 8*p**5\/15 + 371*p**2 + 1. Calculate d(f(w)).\nAnswer: 512*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -1166\/7 (c) -13 (d) -4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 767*n = 0. Calculate n.\nAnswer: -767, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722 + 8*y - 722.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**30)**7)**(2\/33) assuming j is positive.\nAnswer: j**(434\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*k - 978 = -330. Let h = -43 - -61. What is the least common multiple of h and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000418 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18870024622 + -2436.\nAnswer: 18870022186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*2\/((-12)\/309). Let z = r - -929\/9. Let q = -98 + 98.4. Put q, 3, z in decreasing order.\nAnswer: 3, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -35 + 66 + -60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9741207.\nAnswer: 3, 7, 463867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - (4 + 2)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10500512 (base 6) to base 16.\nAnswer: -4de1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -10) + (7 - 10) + 2 + 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2900004 to the nearest one thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - r + 51, -9 = -m + 7*r - 2*r. Suppose 6*h + 45 = h. Let d = h - m. Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = i, 0 = 5*z - z. Suppose -5*c - 5*m = -7*m + 5556, i = 2*c - m + 2223. What is c rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -568, -985, -1680, -2647, -3880, -5373, -7120, -9115?\n\"Answer: b**3 - 145*b**2 + 11*b - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*b = 44, -3*y - 15 = -4*b + 18. Let t = -49 + 60. Let m = y + t. Sort -2, m, -5 in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*i + i**2 - 545*i + 1000*i.\nAnswer: i**2 + 86*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1)**(-14\/3) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -24, -52, -4, 6, -9 in descending order.\nAnswer: 11, 6, -4, -9, -24, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 3*c - 10283 - 17069.\nAnswer: 4*c - 27352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -0.04 (c) -1022 (d) -25 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1210122211220 (base 3) to base 11\nAnswer: 5a4673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -20. Suppose -5*b = -y*m + 454, 3*m - 24 + 130 = -b. Let v = 141 + b. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2840 is divided by 354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25873822 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 139782*l + 2656580.\nAnswer: -2*(l - 19)*(l + 69910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5030061 (base 8) in base 7?\nAnswer: 14150211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 50, 0, -5\/14?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:20 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18269 + 18269.2. What is the closest to -0.1 in l, 58, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:52 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/4*(-4176)\/(-1160)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275966*r**2 - 6*r**4 + 2 - 275966*r**2 + 6*r to w*r**2 + n*r**4 + j*r**3 + g*r + m and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from fee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.7 and -17.99278780662.\nAnswer: -16.29278780662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/5)\/(1\/(-29)). Suppose 0 = -n + 21 + 35. Let l = n + a. What is the least common multiple of 9 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5)\/g)\/g*g)**(7\/4)*(g\/(g*(g\/(g*g**1\/g))\/g))\/(g*g*g*g*g**(1\/3)) assuming g is positive.\nAnswer: g**(-347\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -140. Calculate the common denominator of i + -17*7\/6 and 36\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-123 + (10 - 5))*1\/(-2). Suppose -58*n + o*n - 4 = 0. Calculate the remainder when 5\/(3 - 10\/4) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -12 + 2. Suppose -11 = -x*g + 4. Find the first derivative of -g*i**4 - 2*i**4 - 2*i**4 + 2 + 2 wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from ppjpppj.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l = -48*l - 3*n + 5, -5*n = -6*l + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-35)\/2)\/((-2)\/(-4)). Let c = -284 - -313. Let t = c - a. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*s - 5*p, -2*s + 4*p = -4*s - 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -934, -899, -872, -853, -842, -839, -844?\n\"Answer: -4*m**2 + 47*m - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/1*(-17 + 8) + -2. Let s = 155 + -258. Let t = s + m. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 2, -15, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 22*j**2 + 16*j - 34. Give p(21).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 76, 166, 282, 418?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 645047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15.1. What is the closest to p in 0.2, -0.1, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27508, -55107, -82706, -110305, -137904, -165503?\nAnswer: -193102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*o**4 - 38*o**4 + 9 + 10 - 5 wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 25 + 5 + -20 + 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 76. Calculate b(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3, -1, -2\/3, 42, 351\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 0.5 (c) 4 (d) 2\/13 (e) 0.9384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (-4*(-2*((sqrt(125) - (sqrt(125)*2 - sqrt(125))) + -5) + 4 + (sqrt(125) + -1*sqrt(125))*-4))**2).\nAnswer: 12532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:32 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let m(n) be the second derivative of -7*n**3\/6 + 18*n. What is v(m(l))?\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148854.\nAnswer: 2, 3, 24809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4 - 125948*w**3 - 792237287*w**2 + 11435483268*w + 7146468180 = 0. Calculate w.\nAnswer: -12602, -3\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3787, 4, 2 in ascending order.\nAnswer: -4, 2, 4, 3787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(800\/(-30))\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 249 + -219 - (17 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) 0.54 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and 1.3396.\nAnswer: -69.6592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*q + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = -30*y + 9. Which is the smallest value? (a) y (b) -30 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c**3 - 225*c**2 + 207*c. Let j(k) = k**3 + 14*k**2 - 13*k. Let w(y) = 33*j(y) + 2*t(y). Factor w(x).\nAnswer: 3*x*(x - 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f. Let i(h) = -4873*h**2. Calculate m(i(b)).\nAnswer: -14619*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 18*y**4 + 1504*y**3 - 33904*y**2\/9 + 4352*y\/3 - 1376\/9 = 0?\nAnswer: -86, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39044\/15 - -2602. Let t = 173\/45 - 37\/9. Let x = t - s. Is x < 8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 7\/2 (c) 13 (d) -18.893\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -68, -147, -302, -557, -936?\n\"Answer: -4*s**3 - 2*s**2 + 7*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-39)\/52)\/(1\/160). Let i be g\/(-50) + 3\/5. Let s(p) = i*p**2 - 213*p + 103*p + 110*p. Let c(z) = 7*z**2. Give c(s(y)).\nAnswer: 63*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b - 10 = 0. Let k(y) = 4 + 4 + 14*y**b + 2*y + 40*y**3 - 17*y**3 - 24*y**3. List the prime factors of k(13).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/137358 and 115\/3898854?\nAnswer: 50685102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-82)\/205)\/(8\/(-7437940)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -740 - 3?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 15 + 29. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 11 - -23) + -1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.9 + 22. Let m = 7 - 7.3. Let y = z - m. What is the nearest to 2 in -2\/15, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8*x**2\/11 - 21750*x\/11 - 5438\/11 = 0.\nAnswer: -1\/4, 2719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 141*t + 1. Let j(r) = -r**2. Give j(o(z)).\nAnswer: -19881*z**2 - 282*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(68)*-2 + sqrt(68))\/(sqrt(36)\/(sqrt(18)\/sqrt(2))).\nAnswer: -1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 509175.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 46*m + 50. Suppose -y + 3*y - 12 = 0. What is the smallest common multiple of o(-24) and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)\/sqrt(5))**2 + (sqrt(17) + 2)*-3.\nAnswer: -3*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 10*z + 16. What is x(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 2. Let j be k(0). Suppose l = j*l + 7. Let c(b) = 2*b**2 - 4*b - 3. Let h(t) = -4*t**2 + 7*t + 5. What is l*c(i) - 4*h(i)?\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 k when four letters picked without replacement from pykkykkvkkxvyopkp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325 at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774142.1 weeks to microseconds.\nAnswer: 468201142080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124? (a) 5 (b) -84 (c) 1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a + 31. Let m(g) = -3*g - 15. Let h(n) = -2*c(n) - 5*m(n). Let b(f) = -5*f - 6. What is the remainder when b(-6) is divided by h(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1725 + 1313 = -106*c + 812 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*z, 5*n - 2*z = 76 - 3. Let i = n - -21. Calculate the greatest common factor of 85 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 112705980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 26394.\nAnswer: -2639.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {b: 3, j: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 126.1+-0.7\nAnswer: 125.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174 - 2*o**2 + 170 + 22*o**3 - 57*o - 286 - 58 to l*o + q*o**2 + a + t*o**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q + 6. Let m = -7 + 2. Does 24 divide n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 33 = 4*p - 37, -t - 2*p = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/40 - 13*t**3\/6 - 20*t. Let f(s) be the second derivative of v(s). Let w(b) = -6*b**2. Calculate w(f(o)).\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4000 and 19625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 394 = 92. Let g = 75 + y. Sort g, -4, 5 in decreasing order.\nAnswer: g, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027333537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvcvvvvvvvvvcc. Give prob of sequence vcvc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187519512.\nAnswer: 2, 83, 1788433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -32\/1150091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5134*z + 61599. Give n(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (-8)\/3)*(-2 - 1). Suppose 2*h - 43 = -3*j - c*j, 5*h - 115 = -5*j. What is the least common multiple of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + d + 0*d)*(26*d - 70*d + 34*d) - 6*d + 6*d + 5*d**2 as g + l*d + a*d**2 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4229 (base 11) to base 15.\nAnswer: 19d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i - 3. Let q be m(7). Suppose 5*j - 39 = -0*y - y, y + 3*j - 43 = 0. Let p = q - y. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:37 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(612)*5 - (sqrt(612) - -3*(sqrt(612)*-6 + sqrt(612))))*2)**2.\nAnswer: 3534912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = -b. Suppose -3 + 1 = -w. Let z(d) = -3*d - 4. Let q(v) = 7*v + 9. Let y(j) = w*q(j) + 5*z(j). Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19086?\nAnswer: 2, 3, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1360 + 1364. Solve -2*k + 6 = -s, -7*k + u*k + 7 = -s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -45746\nAnswer: 411714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371412?\nAnswer: 2, 3, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 + w**5\/6 - 11*w**4\/24 + 7*w**3\/6 - 3*w**2. List the prime factors of n(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.05043?\nAnswer: 0.04957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24835277.\nAnswer: 4583, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 + 431*g - 235*g - 204*g - 178*g = 0.\nAnswer: -186, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, -4, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:05 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 - 4 = 0. Suppose -i*b + 25 = -5*v, -v - v - 21 = -3*b. Calculate the highest common factor of b and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51209767 is divided by 73?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11264078 and 336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {p: 7, j: 6, i: 1, s: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 16*v - 6*v - 2*v - 6*v. Let i(n) = 6*n**2 - 4*n**2 - n**2. Give k(i(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and 1.53?\nAnswer: 0.2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 539629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4 and (-73)\/(-12) + 5\/20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-3) - 2\/6. Let f(t) be the second derivative of -t**3 + t**2 - 6*t. Let g be f(1). Sort 0, g, l in descending order.\nAnswer: l, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let g(j) = 3*j**2 + 5*j. Let w(b) = -2*b**2 - 3*b. Let m(i) = 3*g(i) + 5*w(i). Give m(h(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/77*49\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 329*h - 339*h - 70 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1\/34*-2. Let u be 3 + ((-65)\/3)\/5. Let j = -23\/6 - u. What is the closest to -0.1 in r, j, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-894)\/(-8) - (-42)\/(-56). Round i to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*u**4 + 21*u**4 + 21*u**4 - 4*u**3 + 4*u**3 - u**4 + (-2*u**2 + u - u)*(-2*u**2 - 2*u**2 + 0*u**2) as d*u**4 + l*u**2 + a*u**3 + p*u + j and give d.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061196997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 2*k**3 - k - 89 + k.\nAnswer: 2*k**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 204 = -1792. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18\/5733)\/((-238)\/(-3094))\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18\/11 + -21\/11. Put -1, 3\/5, q in increasing order.\nAnswer: -1, q, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 179\/3*35\/35*9\/1.\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939 divided by -9?\nAnswer: -1939\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v + v - 3*v + (790*v + 605*v + 4559*v)*(3 - 5 + 4))*(-4 + 3 + 3) in the form d*v + m and give d.\nAnswer: 23822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 16*k**2 - 12*k - 45. Let p be t(15). Suppose 5*j - 6*j - 4*q + 577 = p, -5*j + 2957 = -4*q. List the prime factors of j.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.9+-0.12053\nAnswer: 22.77947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 0.06. Let c = 3988 + -3993. What is the second smallest value in w, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*t - 138*t + 42 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {l: 4, x: 6, c: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*p + 9*p - 16 = 0, -16 = -4*a + 5*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + n + 3*n - 12 = 0, 0 = 3*x + 2*n - 10. Solve -x = 5*q - 0*q + 2*h, -4 = 4*q + 4*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 28*p - 6.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 67, -1737, -5 in increasing order.\nAnswer: -1737, -5, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079 is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7)*o\/(o\/(o*o*o\/o**19))*((o**(1\/15)\/o*o)\/o*o)**(-2\/67))**28 assuming o is positive.\nAnswer: o**(-446276\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:28 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 16*c**2 + 8*c + 17. Is j(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11233 = 8*s + 3241. Suppose 3*m = 4*m - s. What is the third derivative of -15*j**2 + m*j**4 - 6*j**6 - 999*j**4 wrt j?\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14580 + 14580.5. Which is the third smallest value? (a) r (b) 5 (c) -505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 14*x**2 + 2. Let m be a(-14). Solve 2*f + m = 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 105 - 98 + 33*f + 33*f + 186.\nAnswer: 70*f - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18203 times -215?\nAnswer: 3913645","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -14517 - -14539. Solve -5*x + 4*m + 20 = 0, 2*x - 23*m = -i*m + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2202230 + -20231230?\nAnswer: -23100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2 - 3) - 5\/4. What is the biggest value in i, 0.02, -48?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 314 = 5*o, x - 3*o = -o + 72. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2519 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072.9388 plus -2.6151?\nAnswer: 1070.3237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118359882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixteenths of a hour?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (18 - 11 - (11 + -5 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.82 + 0.22. Let r = x - -2.2. Let b = r - -2.4. Which is greater: -2\/11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -51.36.\nAnswer: -50.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**7\/21 + t**6\/15 + t**5\/10 - t**4\/6 - 4*t + 3. Let n(k) be the first derivative of f(k). What is o in n(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9887698 divided by -101.\nAnswer: -97898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283\/20 - 72\/5. Let a = -1 + 0. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:36 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 81.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 1 x when three letters picked without replacement from {d: 4, z: 1, x: 1, o: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 + -1.66. Let r = v + 33.3. Let y = r - 34. Which is the biggest value? (a) 0.3 (b) -2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/((-15)\/20). Let r be (0 - d)\/2*5. Solve z - 10 = -q, 0 = 3*z - 5*q + 5 + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-340)*(-2740)\/6576?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (87 - (-114 - -95)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/94 and 133\/18?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a factor of 10736066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -46, -1\/6, 14361?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*b, -2*b + 1 = -2*f + 9. Suppose -4*x - 5*i - 11 = 0, 0*i = f*i - 2. Let v be (-20)\/(-25)*(-3)\/x. What is the smallest value in -0.4, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.072 + 0.028. Let j = -2 + 2.1. Which is the nearest to k? (a) j (b) 5\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218428 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2762*m + 33151. Calculate s(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Let r = -4 + s. Let y(f) = -6*f**2 - 1 + 13*f**2 - 2*f + 0*f. Determine y(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (-17 + (68 - 151)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 22. Let a(g) = 153*g - 270*g - 21 + 113*g. Calculate 4*a(k) + 5*v(k).\nAnswer: -k + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 1 - 1 + m**3 + 3*m**3. Let v(g) be the first derivative of -21*g**4\/4 - 16*g**3\/3 + 10*g - 5. Determine 11*h(s) + 2*v(s).\nAnswer: 2*s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000884722 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2e7672 (base 16) to base 6\nAnswer: 145133042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28685 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24330\/581 less than or equal to 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/7, -1\/3, 0.2, -1263\/44?\nAnswer: -1263\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14510527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -688586 divided by 13?\nAnswer: -688586\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2435858787 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 31*c + 94. Let d be f(-33). Solve -4 + d = -6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3500.00494 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(80\/45) - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34894 divided by -73\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 132*g = 136*g - 20, 3*k + 0*g + g = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/120 + y**5\/60 + y**4\/24 - 3*y**3 - 59*y**2 - 2. Let o be 0\/(0 + -3 + 4). Determine c(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f**(-2\/9))\/(f**(-4)\/f**(-2\/15)))\/((f**(-1)\/f)**(-14\/3)\/((f**6\/f)\/f**2)) assuming f is positive.\nAnswer: f**(-131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = -48. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 58. Suppose -t = -0*t + 2. Let u = z - t. Solve q - u = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.041, -4, -1?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 0.2 (b) -0.5 (c) -0.29 (d) -3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + (9 - 11 - (4 - -2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 528291 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:01 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 234 - -12052?\nAnswer: 12316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12513.\nAnswer: 3, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*m + 16 + 50*m - 16 + 46*m**2 in the form o*m + v*m**2 + l and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -m, 3*m + 1 = 3*y + 19. Let z(k) = 14*k**2 - 7*k + 9. Let i be z(3). Let p be i\/10 - 3\/(-5). Solve b - 4*t = -p, 5*b = 2*b - 2*t - m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-x - x**4 + x) + (4 + 0 - 1)*(-39*x**2 - 12*x**4 + 39*x**2) to t*x + u*x**2 + s*x**4 + o + l*x**3 and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(204) - sqrt(204)*1)*-5)\/(-4*(sqrt(972) - (sqrt(972) + (sqrt(972) - (sqrt(972) - (sqrt(972) + (sqrt(972)*-2 - sqrt(972)))))))))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*k - 20, 3*k + 15 = 4*y - 2*k. Let t(h) = -h**2 + 6*h. Let b be t(y). Suppose 2 = 4*v - 2*z, b*v - 4 = -2*z + 3. Is v > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 17526069?\nAnswer: -17526069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 13*j**2 - 2*j + 2. Suppose -p + 3*w - 5*w - 15 = 0, 4*p - 5*w = -47. Calculate the least common multiple of y(p) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heehh. What is prob of sequence eheh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2*z - 5. Let f = 185 + -161. Suppose 44*q - f*q = -60. Calculate a(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 6. Let s be 36\/(-342) + ((-390)\/(-95) - 0). Calculate z(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676 + -973. Let k = -203 - p. Let o = -95 + k. What is the biggest value in o, 4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -23*p**6\/120 + p**4\/24 - 11*p**3\/2 + 26*p**2. What is the second derivative of k(j) wrt j?\nAnswer: -138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.32 - 39. Let u = z + 1.38. Which is the closest to 1\/3? (a) -3\/5 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1067764809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4197355ml in litres?\nAnswer: 0.0004197355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 136*d**2 + 1620*d - 144 = 0.\nAnswer: -12, 3\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 - -265. Let d = n + 20. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.04, 8, -380.6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 12 = 18983*k - 18987*k, -30*k + 42 = -2*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let b(x) = 104*x**2 - x. Determine b(j(p)).\nAnswer: 104*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/8*1005\/(-402).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 7*u**3\/4 + 78*u**2 - 88471*u - 2550600 = 0.\nAnswer: -234, -200\/7, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1070, -2137, -3202, -4265, -5326?\nAnswer: -6385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**12*(b\/(b**31\/b))\/b assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11866 = 125*y - 4741 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50979644 is divided by 487.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4\/5 (c) -1\/6 (d) -3\/8 (e) -38 (f) -389610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 9*o - 3*p = -39, 5*o - 2*p - 76 = 0. Solve -251 = o*n - 89 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6033 + 6030. Which is the third biggest value? (a) l (b) 6 (c) -6\/11 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 160145 (b) 1\/157 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - 6*r - 7. Give c(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59.85035t?\nAnswer: 59850350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -25 = -4321\/166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -62. Suppose j + 5*n = -3 + m, 0 = 5*n. Let v be 6\/j + 28\/(-90). Which is the second smallest value? (a) -4 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + -2*sqrt(2835))\/(1*sqrt(7)*1) - (sqrt(200)\/(sqrt(45) + sqrt(5)))\/(sqrt(8) - 1*sqrt(1152)).\nAnswer: -747*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127\/6 - 41\/2. Which is the closest to 2? (a) -3 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 11825.\nAnswer: 59125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*r - 10 = 0, -5 = -4*r + 11. Let l be (c - (-2 + 2)) + (0 - -3). Solve m + l*m = -3*u - 9, 3*m + 4*u = -11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 - k - 17. Let d be t(-5). Let o be (-45)\/(-18)*d\/(-5) - 1. Solve -o*x + 0*w - w = -1, 5*x - 3*w + 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*n - 16 = -51, 3*w - 25 = -4*n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkke when four letters picked without replacement from {f: 1, e: 5, k: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*i + 12 = 6*p, 3*i = -3*p + 27. Let y = 224 + -8. Suppose 228 = 2*t + y. Solve -5*w + p - t = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 90 - 26 = 0. Let i be c\/20*1*-5. Suppose i*v + 12 = 0, -93 = -3*b - 4*v + v. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 16) in base 13?\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19 = 5*y, -s - 3 = -y - 4. Let b(q) = q - 9*q - 5 + 3*q + s*q. Calculate b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/11, -2, -0.2, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (-1 + sqrt(432))*-1 + sqrt(432) + 3)**2*6*-1.\nAnswer: -2688 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 642 = -4*p, -8*u + 11*u + 1913 = p. Let b = 644 + u. Which is smaller: 41\/9 or b?\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1\/5, 10.9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33666*m**2*x**2 + 9*m*x - 1871*x**2 wrt m?\nAnswer: -67332*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -79, -110, -139, -166?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 2181 - 2171 = 2*h + 2*r, 5*h - 20 = -4*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*d = 214, -z - 3*z - 2*d + 300 = 0. Calculate the remainder when 76 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -318 + -4527.2.\nAnswer: -4845.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.3502.\nAnswer: 1.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -231*(61048\/1092 + -56)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567, 2418, 5523, 9882, 15495, 22362?\nAnswer: 30483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 12:37 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*u**3 + 31*u**3 + 267*u + 33*u**3 - 9*u**3 + 29*u**3 - 2*u**2 wrt u.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -327, -2, 3, 0, 1 in ascending order.\nAnswer: -327, -4, -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 6) in base 12?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -27. Let q(j) = 10*j + 2*j - 5*j. Suppose 0*m = 3*m - 15. Let s(f) = 6*f. What is m*q(x) + o*s(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*v + 3132 = 207*v + 956 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2 + 5268\/26. Let j = p - 41403\/208. Calculate the common denominator of -17\/8 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -54\/125, -2\/7, 2 in descending order.\nAnswer: 2, -2\/7, -54\/125, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 929120 and 580700?\nAnswer: 4645600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)\/((-2)\/6). Let u = 0 + -6. Let a = 6.4 + u. What is the smallest value in i, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, -634, -631, -612, -571, -502?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 3, j: 1, h: 5, k: 1}. Give prob of picking 1 h and 1 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 48, 74, 96, 108, 104?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 106830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/3)\/(2\/18). Let x = 13 - b. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13679.23 to the nearest ten.\nAnswer: -13680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 3. Put -5, 3, t in decreasing order.\nAnswer: 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 2. Let v(m) = m**3 - 7*m**2 + 6*m + 6. Let g be v(5). Let l be 10\/g - 8\/28. Let t be i(l). Solve 0 = 3*d + t - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6\/78679?\nAnswer: 6\/78679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 3. Suppose 5*h = -110 + 120. Suppose 2*y - 2*b + 8 = 0, -5*y - b + 8 = -h*y. Let c(t) = -t - 1. What is y*a(v) + 3*c(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 21 = -9*p, 73*p = -5*b + 72*p + 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 13*r = -128295. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3394, 3314, 3100, 2686, 2006, 994, -416?\n\"Answer: -11*m**3 - m**2 + 3406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129530.28 - -128994.932163. Let s = 600.34704 + a. Let d = s - 65. Round d to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x - 2. Let c = 0.166 - -107.834. Let h = c - 109. What is the third biggest value in x, h, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 - 119 - (-5 - (0 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 73*f + 96*f + 2*f**2 + 2*f**2 + 3*f**2 - 131*f.\nAnswer: 2*f**2 + 38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 119032780 take away 0.2?\nAnswer: 119032779.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/2 - b**4\/3 - b**3\/6 + 97*b. Find the third derivative of v(s) wrt s.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 273816056 to the nearest one million.\nAnswer: 274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 9*c - 6 = 0. Solve 0 = h + 2*v + 1, 0*h - c*h - 5 = 5*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.95 + -68.15. What is the fourth biggest value in -2, -4, l, -2\/3, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17972, -17989, -18006, -18023, -18040, -18057?\nAnswer: -18074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/15 + (603\/15)\/3. Let w(j) = -3*j - 7. Give w(s).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o. Let b be 0 + -2 + 2 - (-1 - -2). Let w be 7 - ((-3 + 3)\/(-2) + b). Let p(i) = -10*i**2 - i + w*i**2 + i. Calculate p(j(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 3. Let i be t(-3). Let o = 0.57 - 0.07. Which is the second biggest value? (a) 5 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 + 80*f - 28. Calculate l(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 48 = 10*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 300 - 1177 - 89*q - 3*q**2 + 93*q.\nAnswer: -q**2 + 4*q - 1477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -509 - -424. Is q at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + r + 99 - 25, -j = -4*r - 37. Solve 5*o + j = 4*x, o + 0*x + 3*x = 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 - f - 5. Let h be x(-6). Suppose -3*u - 13 = -2*i, -2*i + 0*i = 2*u - 8. Let t = h - u. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*c - 0*r + 23, 5*r = -3*c - 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**3 - 155*i**3 - 96*i**2 + 96*i**2.\nAnswer: -172*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*3*-5*sqrt(1573)*-2 + 2.\nAnswer: 1 + 990*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16054699?\nAnswer: 16054699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -95816.5 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19377.926 + 1\nAnswer: 19378.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 1440?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - b - 3592, 2392 = 3*x - x + 2*b. What is the tens digit of 5\/(5\/(-6))*x\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14050 rounded to the nearest one hundred?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21557283 is divided by 1932.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*h**2 + 1 - 190*h**2 + 2*h + 90*h**2 - 3*h**3 + 6*h**4 as b*h + v*h**4 + f + p*h**2 + d*h**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-6))\/(420\/168)*(-3)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 396751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2120\/212*(2\/1)\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 171 = -2*v, -4*v = -7*t + 2*t + 285. Let g = t - 33. Find the common denominator of 135\/(-24)*(g\/(-21))\/4 and 3\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i. Suppose v = 3*t - 2, 16 - 9 = 2*t + 5*v. Let o(r) = 2*r**3 - 6*r**2 + 6*r + 2. Give t*o(c) + 6*y(c).\nAnswer: 2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1109 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7499, 15009, 22521, 30035, 37551, 45069?\nAnswer: 52589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*r + 5188 - 1054*r - 5188 as v + d*r and give d.\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - 92. Let x(i) = 3*i + 2. Let k(s) = 0 - 1 + 9*s + 7. What is f*x(n) - 2*k(n)?\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*t**4 + 5122*t**3 - 2694164*t**2.\nAnswer: -3912*t + 30732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010110101100101 + 1100?\nAnswer: -110010110101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10313002221 - 10?\nAnswer: -10313002231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k**3*p**3 + 2117*k**3*p + 13*k*p**5 - 3*p**2 wrt p?\nAnswer: 48*k**3 + 780*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21))\/(96\/(-19152)*-1254)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1545 divided by -5.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38413683307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599 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: Let 2*d**4 - 11662*d**3 + 16947300*d**2 + 155694400*d - 3240032000 = 0. What is d?\nAnswer: -19, 10, 2920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011011 + 10?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/20 - 5 - -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2316*g - 2320*g. Solve 4*o - 73 + 85 = g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, 2\/7, 51, 2\/25?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*c - 3*c - 3*c**2 + 3 in the form j*c**2 + u*c + i and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 187*x.\nAnswer: -x*(x - 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (-1*(sqrt(104) - 1*sqrt(104)) - sqrt(104)))\/((sqrt(60)\/sqrt(3))\/sqrt(10)))\/(-6*sqrt(12)\/(sqrt(33)\/(sqrt(11) - sqrt(11)*-1))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 3*z - 2*z)*((0 + 1 - 2)*(z**4 + 0*z**4 - 2*z**4) + 6*z**4 - 29*z**3 + 29*z**3).\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u - 8. Let b(f) = -57*f - 62. Let m(n) = 570*n + 618. Let a(l) = 21*b(l) + 2*m(l). Let w(c) = 4*a(c) - 33*k(c). Let d(x) = 2*x. Calculate w(d(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9900 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let g(h) = 2*h + 3. Suppose -5*m + m + 4 = 0. Let i = m - -3. What is i*f(w) + g(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478*h**3 + 47*h + 3?\nAnswer: -2868*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 28\/(-12). Suppose 3*l + 142 = -w. Let s = -84 - l. Round s to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:23 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 18 - (-4 - (0 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-9 - -6 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 14472, 1, -1, -15 in ascending order.\nAnswer: -15, -1, 1, 2, 9, 14472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6894 and 83862?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5 + 6*k**3 - 20239*k**2 + 21939*k + 71?\nAnswer: -40*k**3 + 36*k - 40478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60390 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*r - 15 = 0, -15 + 55 = 5*i - 3*r. Let i*x + 12*x**2 - 11*x + 8 - 12*x - 2*x = 0. Calculate x.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.178 - 5.178. Which is the second smallest value? (a) 0.6 (b) y (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35283 and 5.\nAnswer: 176415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162 and 125613.\nAnswer: -20349306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056772800?\nAnswer: 2, 3, 5, 73387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4148, -8322, -12518, -16736, -20976?\n\"Answer: -11*c**2 - 4141*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -5. Let c = -198.4921 + -0.0079. Let h = -199 - c. What is the second smallest value in 4, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 340463736693 and -25.\nAnswer: 340463736668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 9*n**2 + n + 2. Let f be 15\/(-4) - (-4)\/(-16). Let c be b(f). Let s be 2 + (26\/c - 1). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + 1 + -256 + 250 + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-441)*1)\/(-28*39\/3822).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-one fifths of a tonne?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 242455*y**2 - 394441475*y + 163223858625.\nAnswer: -5*(y - 46821)*(y - 835)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7406847?\nAnswer: 3, 7, 89, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(2) + sqrt(32)) + sqrt(12) + (sqrt(120)*-2)\/sqrt(10))**2 + sqrt(96)\/(sqrt(72)\/(sqrt(9) + sqrt(225))))*-6.\nAnswer: -72*sqrt(3) - 1152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.4 (c) 1 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -17 - -21) + -23?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3 - 33252*q**2 + 89602092*q - 77293028844 = 0?\nAnswer: 1851, 3231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + -78. Put 4, 2, q, 3 in descending order.\nAnswer: q, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7124?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxxpcxxcxxpxc. What is prob of sequence px?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1126 = 1598. Differentiate 2*r**2 + 922 - 461 - t - 5*r wrt r.\nAnswer: 4*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-10)\/(-20))\/((-2)\/(-1140)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4 - 516*f**4 - 6 + 2*f - 2*f + 2*f**4 + (-2*f**4 + 3*f**4 + f**4)*(5 - 2 - 5) - 3 + 3 + f**4 - 2 + 2 - 3*f**4.\nAnswer: -520*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -11. Let y be 3\/(6\/4 - 0). Suppose -3 - 15 = -y*n. What is the least common multiple of n and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by 175?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91506586?\nAnswer: 2, 3361, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 21 - 3. Suppose f*y - 13 = -w + 35, -4*w - y + 137 = 0. Calculate the smallest common multiple of 27 and w.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - b**4 + b**3 - 17*b**2 + 10*b + 13*b**2 - 5*b**4 - 1 as m*b**3 + r*b + z*b**2 + f*b**4 + k and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 326729\/34 or 9609?\nAnswer: 9609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2\/2 + 1. Calculate a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 16*i**2 - i + 20. Let u be y(16). Let r(f) = -f**2 + 3*f**3 - 3*f**3 - 4*f + 10*f**3 + u + 2*f**2. Is r(1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)\/((-270)\/60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118770206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84081 rounded to the nearest one thousand?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c. Suppose 4*b + 3*p = 2*b - 2, -3*b + 14 = -4*p. Let u(j) = j**2 - 4*j**2 - j**2 + 2*j**b. Determine s(u(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i + 896 = -1481 + 1243 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/18 in -2\/5, 0.7, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 + -4.17. Let y be 4\/18 + (-8)\/(-126). Let v be (0 + -1)*1\/5. Which is the closest to y? (a) v (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1190\/(-9) + (-14)\/(-63). Let t be ((-6)\/4)\/(22\/x). Differentiate -3 + t*u**2 + 7*u**2 + 8*u**4 - 16*u**2 wrt u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -7677\nAnswer: 8\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5163.269 hours to microseconds.\nAnswer: 18587768400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:16 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 + 5*r - 5. Suppose -12 = 6*m + 24. Let o(f) = -2*f**3 + 10*f - 4. Let a(w) = -w**3 + w. Let d(j) = m*a(j) + o(j). What is -5*d(l) + 4*u(l)?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(10 - (-8134)\/(-812)). Solve 3*u = b + 4, 3*u + 0*u + 4*b = h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/4767)*(-8)\/(-6). Suppose -5*m + 2787 = -o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = i + z - 4*z, 3*i = -z - 13. Is i\/(-18)*4089*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 3*x - 69*z, 66046*z = -2*x + 66049*z - 99 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 6*g. Let q(m) = m**2 + 13 + 2*m + 14 - 27. Determine 8*q(k) - 3*w(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 6669*a - 13339. Give s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 + 2)*0)\/1. Suppose g = 4*n + 4*p - 4, -2*n = 3*p + 1 - 0. Solve n*t + 20 = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5)*1*-10. Suppose 2*b + 0 - z = 0. Suppose -43 = -b*u + 91. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 276\/10 - (-4)\/10. Let v be 21\/o*(-20)\/(-1). Let l = 17 + v. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 2*f. Let x be a(-2). Let u(d) = -2*d**2 + 5*d - 1. Let w(h) = -h**2 + 4*h - 1. Let n(l) = x*w(l) - 3*u(l). What is the units digit of n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {g: 9, f: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + k**2)*(-3 + 1 + 0 + 3*k).\nAnswer: 3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 73 = -60 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzuuzz. What is prob of picking 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 25*h**2 - 41*h + 115. Let z be x(-23). Solve 0 = -f - z*s - 3*s + 12, -3*f = -s + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46, 0.5, 4.9, -3\/52, -5, 0.4?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(2\/15)*j)\/j)*j**0)\/(j**(3\/10)\/(j\/j**9)))\/((((j*j\/j**(-1))\/j)\/j)**(-40)\/(j\/j**(-1\/2)*j)**(1\/5)) assuming j is positive.\nAnswer: j**(496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -3, 2.8, 0.0476 in increasing order.\nAnswer: -3, 0.0476, 2.8, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2 - 1. Let w(f) = 8*f + 9. Suppose -13*j = -18 + 31. Let a be w(j). Calculate l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -547 + 518 - ((0 - 2) + -6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 2127 + 2127.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1112966892*u - 1092575400 wrt u.\nAnswer: 1112966892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 20*f. Let y(i) = i. Calculate w(g) - 30*y(g).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390*p + 426213 - 2*p**3 - 426213 to j + t*p**2 + z*p**3 + w*p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2\/11, 327, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 4 - 1060\/(-70)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/7 - (-270)\/70. Let s = m + -7. Find the common denominator of -47\/2 and 46\/(3 + s + 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/(-8))\/(-3) + -2. Let s = 5\/8 + y. Let p be (-1)\/(2\/(1 + -3)). Which is bigger: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, -1, -8, 1.\nAnswer: -504, -8, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 + 27*t - 22. Let d be o(4). Sort 19, -1, d in decreasing order.\nAnswer: 19, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591192337 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*s + 3, 3*s + 39 = 120*x - 125*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(9\/4))\/l*l)\/(l**(-5)*l))**(-39) assuming l is positive.\nAnswer: l**(-1131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 29 = -14. Factor -d**3 - d**p - 2*d + 4*d.\nAnswer: -2*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-2\/7)*h*h**3*h**(-6)\/h*h**2 assuming h is positive.\nAnswer: h**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -292666014 divided by -16259223\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1. Let u(s) = 7*s - 4. What is -2*p(m) + 2*u(m)?\nAnswer: 14*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o - o**4)*(-121*o + 38 - 382*o - 40).\nAnswer: 503*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4)\/((-5)\/60). Let o(x) = -4*x**2 - 15*x + 7. Let f be o(-8). Let c = -127 - f. What is the third biggest value in j, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8171 - -16143. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*f - 19 = -4*t + 163*f, -f = -5*t + 25 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6. Is -13 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 56 (c) 5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 2 = 3*q + o, -2*q = -o + 54. Which is greater: -26 or q?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 7*q - 9. Let t be x(9). Suppose -4 = -4*n + 16. Suppose t = 6*m - 5*m + 4*k, n*k - 36 = -4*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37784 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/5 + 96558*l\/5 + 2705192\/5 = 0. Calculate l.\nAnswer: -28, 48307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 55. Suppose 0 = -3*r - 2*v + 107 - j, -2*v - 62 = -3*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 45*u - 40. Let o be m(1). Solve -35 = -2*q + 6*q + 5*s, 5 = -4*q + o*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163951 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18\/985 - 298491\/1970. Which is smaller: -151 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -4*v + 13, -3*v = 5*m + 23. What is the units digit of (-1 + 3)*m\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43864644 and 645?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:29 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + v - 3 = 8 + 3 + 6, -9*r + 7*r = 18*v + 100 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from sisiiiksi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 13*s**2 + 160*s - 259. Is p(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) - -7 - 60\/(-132)*-11. Solve -3 = -4*o - 23*g + 20*g, -g = -l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*r = -182*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127060 is divided by 348.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0369 - 271.9631. Let o = p + 271.8848. Round o to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -22*p - 76. Determine l(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 2*i + 498, 5*j - 510 = 5*i. What is the third derivative of -j*n + 98*n + 5*n**2 - 3*n**5 wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02068 + 52.20932. Let i = 1 + 51. Let w = i - j. Round w to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 + 0*b**3 - 1\/30*b**5 + 1\/60*b**6 + 0*b + 0*b**4 + 3*b**2. What is the third derivative of g(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2688 divided by -168\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let w(k) = -k**2 + 84*k - 156. Let h be w(82). Let t(p) be the first derivative of h + 0*p + 0*p**2 + 40\/3*p**3. Give t(b(q)).\nAnswer: 40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, h: 10, d: 4}. What is prob of picking 2 d?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:10 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9224712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f. Suppose f = -0*q + 5*q - 225. Suppose -q = -4*y - y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5 + 2 - 124*p + 253*p - 128*p. Let o(u) = -6. What is -3*o(r) - 2*z(r)?\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:34 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - (-3 - (0 - 2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1166 - -1166.0004066. What is u rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2509 and 143705484.\nAnswer: 143705484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 + 36*l**3 - 423*l**2 - 456*l = 0.\nAnswer: -19, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 122, 116, 110, 104?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 45 = 10*i. What is the least common multiple of 33 and (2 + -7)\/i + 13?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, o: 1, n: 1, x: 2, g: 1}. Give prob of picking 1 x and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 6 - 13 - 4*w**2 + 23 - 5*w + 12*w. What is h(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*u**5 - 135*u**4\/2 - 15*u**3 + 65*u**2\/2 = 0. Calculate u.\nAnswer: -13\/20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-48)*(-3)\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13131 divided by -4377\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/36 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 299140*l**2 - 4785280*l - 19139840.\nAnswer: -5*(l + 8)**2*(l + 59812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 11*w**6\/30 + 4*w**2 - 10*w + 9. Let r(l) be the first derivative of v(l). What is the first derivative of r(f) wrt f?\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504896 is divided by 752448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**2 + 324*r + 1474. Calculate t(-5).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 15) to base 14\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*m - 9203 = 0, -8*m + 6*m + 3684 = 2*t. Suppose l = -2, 2*g = -3*g + 3*l + t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23404 is divided by 11267?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.972. Let p = -0.02799947 - a. Round p to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1716\/440 + -39 + (17 - -16).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26251331 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.3 + 141.7. Let i = m - 149. What is the fourth biggest value in 4, -0.3, i, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109381 + -76470. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -d + a, 5*a = 2*d - 0*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-12) + -7)*6\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 10. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207 * -1770031\nAnswer: 366396417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133241234234 - 3?\nAnswer: -133241234242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 k be ((9\/30)\/(3\/(-6)))\/(48\/(-180)). Which is the closest to -0.4? (a) k (b) -1\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 646376*k**4 - 827189*k**2?\nAnswer: 15513024*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/(u*u**41\/u*u*u))*u*u**2)\/(u\/(u*(u\/(u\/u**(-3\/13)))\/u*u)*u*u**27) assuming u is positive.\nAnswer: u**(205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (641*d - 310 + 154 + 157)*(-9 + 2 + 1).\nAnswer: -3846*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4125 divided by 11\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 178 = -v + r, -v = 3*r - 30. Suppose u = -3*u + v. Solve -q - u = -4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-52) + ((-18)\/39)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18597 - -148999\/8. Let o = s + -28. Does -1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 43*c + 53. Give o(-6).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6*-37\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 - 3*w - 3. Let j be t(3). Let p(u) = 9 - 3 - u**2 + 5*u + 2 - 7. Give p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6141*k + 975*k + 391678 - 1470892 = -5433*k for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 7. Let p(m) = -2*m**2 + m - 6. Let j be (7\/(21\/(-18)))\/(4\/2). Let a(g) = j*b(g) - 4*p(g). Calculate the remainder when 59 is divided by a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28814740418 and 3.\nAnswer: 28814740421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v. Let n(i) be the second derivative of 5*i**4\/8 - 59*i**2\/2 + 115*i. Let u(w) be the first derivative of n(w). Determine c(u(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -678*o**2 + 35*o**4 + 678*o**2 - 1 + (-o - o**2 + o)*(-1 + o**2 + 1).\nAnswer: 34*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4158671km in meters?\nAnswer: 415.8671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 597*h**2 - 29853*h + 200. Calculate j(50).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 7*s**2\/2 + 20*s + 9. Let c be g(-6). Let d(u) = -u + 17. Is d(c) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3457, -8, -1.8, 39\/8 in decreasing order.\nAnswer: 3457, 39\/8, -1.8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 4*f - 4. Let k be d(4). Find q such that -36*q**2 + 33*q**3 - 13*q**3 + 16*q - k*q**2 = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 3*f**2 - 6*f**2 + (f - 5*f + 3*f)*(-12 + 12 + 59*f).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 4*w**2 + 2*w - 4. Let c(d) = d**3 - 4*d**2 + d - 5. Let r(v) = -3*c(v) + 4*g(v). Determine r(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Suppose 5*d + 5*i + 15 = 0, 5*d + 4*i + 6 = -6. Suppose -3*m = -d + 3. Sort m, r, -5.\nAnswer: -5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microsecond in nanoseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -118, -199, -304, -439, -610, -823?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35513519971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j + 12 = -44*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {k: 4, y: 7, c: 5}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 348825507 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 + 2*w**2 + 2*w**3 - 4*w**2 - 2*w**3 + 6*w to m*w**4 + b*w**2 + j + o*w + q*w**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Suppose 108*i - 106*i + 5*u = 3, -3*u + 6 = -3*i. Let b(z) = -9*z**3 + 15*z**2 + 3. Calculate i*b(n) + 15*y(n).\nAnswer: 9*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 17. Let m = g - 33. Suppose 0 = c, 500 = 4*j + j + m*c. Calculate the greatest common factor of j and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2699\/8 - 8457\/20. Let v = 735\/8 + u. Solve -v*q + 8\/5 + 2*q**2 + 10*q**3 = 0 for q.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-6) - (-1780)\/30 is divided by -5 - -1 - (6 + -18 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2 + z**3 - 5*z**2 + 1 + 4*z**2. Calculate the remainder when 2\/7 - (-348)\/7 is divided by v(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 78*l. Let c(p) = 235*p. Let k(j) = -3*a(j) + c(j). Let f(n) = 12*n**3 - 20*n. Give -f(z) - 20*k(z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3502 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 319646 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: What comes next: 1701, 3405, 5109?\nAnswer: 6813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1122971, -2245942, -3368913, -4491884, -5614855?\nAnswer: -6737826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -532.176 + -661.\nAnswer: -1193.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -267100 divided by -2\nAnswer: 133550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2, -5*m + 60 = 4*i + i. Suppose -c - 6 - 19 = 5*l, c + 2*l + 16 = 0. Calculate the remainder when m is divided by (12\/c)\/(15\/(-100)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 3155229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23249 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -34 (c) 0.23 (d) -15 (e) -0.08 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m + 3. Let b be (10680\/(-20))\/(6\/(-4)). Suppose -b*a + 355*a = 4. Determine l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*114\/(-19)*4\/14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -3*b**2 - 2\/3*b**3 + 0*b + 0*b**4 + 1\/30*b**5 + 0. Differentiate g(d) with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -572544.3226 to the nearest 100.\nAnswer: -572500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -50, -74?\n\"Answer: -24*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -252052?\nAnswer: -252051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxxrxxxxxxxrxxxxxxx. Give prob of picking 2 r.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/66*3\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39414414.\nAnswer: 2, 3, 13, 505313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 209, 480, 861, 1352, 1953?\n\"Answer: 55*j**2 - 4*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + 253\/4. Let y be 2\/3*r\/14. Let k(b) = 3*b - y - b + 9. Calculate k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -187, -429, -757, -1165?\n\"Answer: v**3 - 52*v**2 - v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.032 - 0.8. Round t to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -6, 77, -53, -3, 6 in increasing order.\nAnswer: -59, -53, -6, -3, 6, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -13 + (-3 - (-2 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 279517.3 to the nearest one thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 5*l)*(l - 2*l + 4*l) - 5*l**2 - 10*l**2 - 20*l**2 + (5*l - 4*l + 0*l)*(0*l + 2*l - 3*l) + 2*l**2 - l + l.\nAnswer: -46*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-126))\/(2\/434*(2 - (-11 - -12))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18743, 36783, 54823, 72863?\nAnswer: 90903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -305*i**2*x**2 - i*x**2 + 1833*x**2 wrt i.\nAnswer: -610*i*x**2 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 221934688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.5 - 13.5. Which is the closest to 1\/5? (a) 0.6 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 242955*v - 2 + 1 - 242982*v.\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2762*z + 2762*z - 109*z**2)*(2 + 3 + 3) + (-7*z - 4*z - 4*z)*(-z + 2*z + z).\nAnswer: -902*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 62*b + 78. What is q(62)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1224)\/357)\/((12\/(-105))\/1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (217657\/(-66) - (-33)\/(-3))*-6?\nAnswer: 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111000001111 + 101?\nAnswer: 110111000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 12*d + 12. What is p(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 508\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(2 - -1)*(-4)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 4*b - 10. Let j be y(-2). Suppose 31945 = -o + j*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (6 + -3 + (-2 - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k - i + 15, 9 = -5*k - 2*i. Let q be (-2)\/3*k\/2. Let t = -33 + 67\/2. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255672196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c*o**3 + 4*c - 1959*o**3 - 23 wrt o.\nAnswer: 9*c*o**2 - 5877*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 271 - -1?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3361855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 - -56abc?\nAnswer: 56bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - -2*sqrt(225)*1 - sqrt(225))\/(sqrt(720)*2))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9764*a - 1709 + 1709 - 9773*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.41+-1.9\nAnswer: -3.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2005164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14955 - 14951. Let w(b) = 3*b**2 - 2*b - 2. Calculate the remainder when w(-3) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -40*c - 96. Solve -12*d - c*d + 80 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 6242240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*h + 56 = 0, -5*s + 81 = 2*h - 10. Suppose 6*q = -5 + s. What is the units digit of -3 - (3 - (-78)\/(-3) - q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32792 (base 10) in base 12?\nAnswer: -16b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(0 - 4\/(-76)). Let d be (-2562)\/(-8)*14\/21. Let x = d - 233. Is f < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*q + 95 = 210*q + 3*s, -262 = -4*q - 5*s - 104 - 82 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(5\/3 + -4). Suppose 2*z - u = 1. Suppose y + 3*d - 39 = 43, 2*y = z*d + 174. Calculate the highest common divisor of y and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26708982 and 1542.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 918405055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -134.7 from -11964800.626.\nAnswer: -11964665.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*w - 1424 = -232*w. Let p = w + 1001. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/60 - g**4\/4 - 7*g**3\/6 + 7*g**2. What is the tens digit of x(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 7. Let n(k) = -7*k + 8. What is -3*n(a) + 4*u(a)?\nAnswer: -3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a**2 - a. Let m be u(1). Let s be -2*m*(-3)\/6. Let r = s + 24. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 828 = -20*d + 29*d - 61*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*((-4)\/8 + -1)*1. Suppose -698 = -j*m + 5*p, 3*m + p - 240 = 434. What are the prime factors of m?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9358765187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 3084 = -1632. Is h smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 948295600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -25. Solve 4*j = -a*s + 8, -2*s - 2*j + 2 = 2*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -615 - -625. Let a(k) = -55*k - 18*k**2 + 88*k - 55*k - 16*k**2 + j*k**2. Let p(z) = z**2 + z. Give -6*a(m) - 132*p(m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53210 times 27?\nAnswer: 1436670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 12:39 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-4*1)\/sqrt(11) - (-1*4*sqrt(77))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231578 and 890.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14167\/11 - -1289. Let v = 2312 + -1412628\/611. Let g = v + 17064\/6721. What is the common denominator of g and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*y - 28, 3*t + 35 = 4*y + y. Suppose -s + 88 = -y*f, 180 = 5*s + f - 197. Suppose 2*l - s = -3*i, 4*i - l - 26 = 68. Round i to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 155771*j + 1246177. Determine m(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(32)*1 - (-2*(sqrt(242) + 2))**2.\nAnswer: -984 - 172*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllldllldddldll. What is prob of sequence ldd?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98022420*t**3 + 35096313?\nAnswer: -294067260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/27, -485, 2\/19 in descending order.\nAnswer: 2\/19, -7\/27, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 - 1. Let d = n + -0.3. Let b = 10 + -9.8. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + aa0e?\nAnswer: aa0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r. Let m(j) = 10*j. Let q(s) = -14*h(s) - 4*m(s). Let a(i) = 3*i**2. What is a(q(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13433679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4 - 10. Let q be ((-1)\/s)\/((-3)\/45). Suppose -2*n + 15 = -q*n. Sort -3, n, -4 in descending order.\nAnswer: -3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/3)\/2)\/(6\/(-9))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 130 = -0*r. Let q = 26 - r. Suppose q = -4*k + 56 + 24. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*r + 19149 = -1167*r + 408*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 60*v**4\/7 - 31154*v**3\/7 - 118014*v**2\/7 - 96288*v\/7 + 4184 = 0.\nAnswer: -2, 7\/30, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = p + 188, 3*p + 0 - 139 = -4*b. Solve 0 = 2*w + 2*z - 18, 3*w = -2*w - 3*z + b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/5*a**3 - 2\/5*a + 12\/5*a**2 + 0 = 0. What is a?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5 + m**4 - 3*m**3 - 5*m**2 - 2*m = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 3*d**2 - 19*d + 9. Let c be p(-6). Let q(f) = c*f**2 - 7*f**2 - 18 - 7*f**2 - 14*f. What is q(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + t - 53, 0 = p - 3*t - 3 + 6. Suppose -p - 34 = -2*i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -21*r - 54. Let k be t(-19). Suppose 0 = 16*j + k - 1497. Differentiate -j*s**3 + 38*s**3 + 37*s**3 + 46 - 10*s wrt s.\nAnswer: 9*s**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 0.5, -0.23, -459, -1, -13, -1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 + 5*w**2 + 6*w - 5. Let b(f) be the second derivative of -f**5\/20 - f**4\/6 - f**3\/2 + f**2 + 351*f. Calculate -10*b(d) - 4*v(d).\nAnswer: -2*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -t. Let m = -0.0125 - 3.9875. Which is the closest to -4? (a) m (b) 2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*o = -491*o + 1752 - 37146 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:50 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*y**2 - y + 18*y**2 - y + y**3 + 3 + 0*y**3.\nAnswer: y**3 + 60*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/104092 and 67\/10311.\nAnswer: 2185932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5632 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14665, -14313, -13737, -12937, -11913, -10665?\nAnswer: -9193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 92 = 2*s - 5*s, 10 = 2*o. Let n = -12 + s. Let u = n + -10. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 minus -1066450?\nAnswer: 1066450.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 390826873 a multiple of 4170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*o - 4*o - 4, -4*t - 5*o = -40. Suppose 2*f - 122 = -f + 2*m, -5*f = t*m - 195. Suppose -f = -3*k + 23. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.53 and 1.17?\nAnswer: -1.7901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.54103 and -0.042?\nAnswer: -0.02272326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 4 + -16689*1. Suppose 0 = 5*f + 4*z - 551539, -2*f = -4*z - 296755 + 76117. Let q = f - p. What is q rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 + 1 = 0. Let t(l) = 11*l - 1. What is the smallest common multiple of 1 + 0*w\/(-2) and t(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 7*x + 1065600. What is x rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-10)*-3 + 4\/20. Suppose 3029 - 730 = p*w. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-3 - -4) + -2)*5. What is the hundreds digit of 3088\/5 - 5 - 2\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-16) - (-15)\/(-40). Suppose 0*j - m*j + c + 13 = 0, 0 = -j + 3*c + 15. Suppose 5 = -f + 29. What is the highest common factor of j and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13170 + -34530?\nAnswer: -47720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1026\/51 + -5*(-4)\/(-170). Let l be (-4)\/10*v\/(-4). Solve -l*d - 12 = -4*t, -5*t + 21 = -0*t - d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916507 is divided by 130760?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1814, -1814, -1804, -1784, -1754, -1714, -1664?\n\"Answer: 5*u**2 - 15*u - 1804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21723325 divided by 5.\nAnswer: -4344665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.03183ng to milligrams.\nAnswer: 0.00001803183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(272\/120*-5)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1) + 12 + -3 + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*10.83\nAnswer: -7.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 2*p**2 - 10*p**2 + 9*p**2 + 3*p**2 + 21*p as c*p + y + n*p**2 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**28*i\/((i\/(i\/i**(-1\/16)))\/i)*i)**(2\/7) assuming i is positive.\nAnswer: i**(-383\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + 3*m**2 - 3*m**2 - 181*m + 181*m. Let s(x) be the third derivative of 5*x**4\/24 - 2*x**2. Determine q(s(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565422957?\nAnswer: 3, 11, 19, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/1 + 2\/9*(-10296)\/(-31 - 13).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -797, -874, -1011, -1214, -1489, -1842?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7 - ((-4774)\/440 + 9*1) and 2 + 1*23\/(-22).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 98. Let p be r - 2\/(-3 - -5). Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001317463 to five decimal places.\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -1. Let m be (-84926)\/(-60) - (-2)\/h. Let t = m + -4211\/3. Calculate the common denominator of t and -15\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16545 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -323*s**2 - 2*s + 1048?\nAnswer: -646*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 a factor of 4129180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/15 - 4732*w**3\/15 + 910518*w**2\/5 + 26745768*w\/5.\nAnswer: 2*w*(w - 1197)**2*(w + 28)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * 0.5.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/5 - 145*m**2 - 4393*m\/5 + 5117\/5 = 0.\nAnswer: -7, 1, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 6*n + 1. Let i(u) = u**2 - 22*u + 36. Give -i(t) + 4*m(t).\nAnswer: 3*t**2 - 2*t - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 0.07?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)*j*j*j\/(j\/((j\/j**(-1))\/j))*j*j)\/(((j\/(j**(-22)\/j))\/j)\/(j\/(j*j\/(j\/(j*j\/(((j\/j**(-15))\/j*j)\/j)))))) assuming j is positive.\nAnswer: j**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 18, 1, -3.\nAnswer: -46, -3, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/8 + 262860*b**3 - 138192862064*b**2 + 2211035324160*b - 8844074004992 = 0. What is b?\nAnswer: 8, 1051432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = n + 4*y, -4*n - 49*y = -51*y - 18. Solve l = 5*r + 23, -r + n - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -12*g + 14*g**2 + g + 14 - 8*g**3 - 6*g**2 + 7*g**3. Give l(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1 - 4\/(-6). Let w = -1.31 - -0.31. Which is the biggest value? (a) w (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187451 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111248 a multiple of 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3423 + -311?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2378, 4752, 7126, 9500, 11874, 14248?\n\"Answer: 2374*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 2 i when four letters picked without replacement from iwxwmxmmwixxiwbuiw?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -322516 (base 9) in base 8?\nAnswer: -567223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**2 + 68*p**2 - 82*p**2. Let w(t) = 291 - 8*t**2 - 291. Give l(w(n)).\nAnswer: -256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 1188 - 64\/64. Calculate the highest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1464 and -71\/12.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 268719?\nAnswer: 1074876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/9 - -11\/45. Let x = -29.8634 - 0.0366. Let z = x + 3.9. Which is the nearest to -1? (a) z (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 3*d + 10*b - 69 = 16*b - 21*b, 0 = -18*d + 18*d - 4*b + 8 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:46 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 64\/3. Let i = n + -1\/6. Put i, 1, 0.2 in descending order.\nAnswer: 1, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 2*o**6 + 23*o**3\/6 - o + 13. What is the second derivative of v(h) wrt h?\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 - (-4 + 1))*4 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14414 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 67. Sort r, 10, -5.\nAnswer: -5, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3179960 and 398520.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1348, 5409, 12170, 21625, 33768, 48593?\n\"Answer: -j**3 + 1356*j**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14231, 114135, 385317, 913415, 1784067, 3082911?\n\"Answer: 14273*s**3 + s**2 - 10*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 244, 255, 136, -179, -756, -1661?\n\"Answer: -11*q**3 + q**2 + 85*q + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in millimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 = -3*x + 81. Suppose 312 = 25*u - x. Calculate the greatest common divisor of 147 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6129*p**2 + 67*p + 795813 wrt p?\nAnswer: -12258*p + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + 4 - 5 - (106 + -102)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 63*l + 33. Let v be q(-32). What is the biggest value in 0.054, -1\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3\/2*p**3 - 81\/2 - 99\/2*p - 15\/2*p**2 = 0.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*7\/(-8)*4. Let c(p) = p - 1. Give c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 110. Let d = p + 75. Solve -d*u + 4*b - 11 = 0, -u - 16 = 2*u - 5*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973 and 1069605?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 135 = -4*p + 23, -4*h + 3*p - 141 = 0. Let a be 5*3*(-10 - 174\/(-18)). Let n be (h\/30)\/(14\/a). Sort -0.3, -3\/5, n in decreasing order.\nAnswer: n, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20114123?\nAnswer: 20114123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680622.75 nanoseconds to hours.\nAnswer: 0.000000189061875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013797 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*d = 7*d - 59, 4*d = 3*g - 203. What is the remainder when 1427 is divided by g?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 4*n - 11*n)*(16*n - 2*n + 8*n).\nAnswer: -220*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 457536?\nAnswer: 1830144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/9)*k)\/k)\/((k\/(k*k\/(k\/k**(4\/7)*k))*k)\/k))\/(k*(k**(-1\/2)*k)\/k)**(-7)*(k**(-2\/7)*k**(-3)\/k)\/(k\/(k\/(k*k\/k**0)))**(-1\/86) assuming k is positive.\nAnswer: k**(-5851\/5418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783887371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - d. Let i(k) = -11*k**2 + 2*k. Give -2*i(g) - 5*z(g).\nAnswer: -3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 67*g - 7. What is the remainder when h(2) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -5799.\nAnswer: 20\/5799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5879 - 5884. Let c = 6 - 4. Let q = -11\/8 - -23\/8. What is the second biggest value in q, c, l, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5237.69 + -5735.8. Round c to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {e: 7, l: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -3\/4, 0.00642 in decreasing order.\nAnswer: 0.00642, -0.3, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**40\/s*(s\/(s\/s**32))\/s assuming s is positive.\nAnswer: s**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1415247?\nAnswer: 1415244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:22 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 2\/5 (b) 0 (c) -66\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-11 - 9 - -18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 278544 and 8148?\nAnswer: 27018768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 0.30231459?\nAnswer: 0.30231459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -1013.\nAnswer: 8\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 174 = -4*y, -5*z + 202 = y + 2*y. Suppose z + 106 = 9*c. What is the remainder when 79 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5944703*w**3 + 28*w**2 - w + 6902.\nAnswer: 35668218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5116386 (base 11) to base 14.\nAnswer: -12b524c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3150 and 2?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5939696.\nAnswer: 1\/1484924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82521373 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from eaaawkewkkekkkaew?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-34)\/(z\/z**(4\/23)))\/((z*z*z**(-1\/23)*z)\/(z\/(z\/(((z**(-10)*z)\/z)\/z*z)))) assuming z is positive.\nAnswer: z**(-1099\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -4 (b) -1\/6 (c) 2\/17 (d) 2.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -689.17 + 697. Let z = 0.53 - a. Let d = 7 + z. What is the closest to 2\/7 in 0.3, -0.5, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1093\/4, 0.1, 0.01, -0.4, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 9 + 21 = -5*b, a = -4*b + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3420 and 234783?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 230, -1\/6, 0.08 in decreasing order.\nAnswer: 230, 5, 0.08, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + -157. Let s be (8\/12)\/(2\/p) + 0. Do s and -62 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 110\/8 + (-1)\/(-4). Let f be 2\/(4\/k) - 1. Let u = f - 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61.4? (a) -0.1 (b) -2\/19 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/272 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 3*l)*(-44 + 144 + 361).\nAnswer: -922*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07 and 8157?\nAnswer: 8156.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)\/o*o**1)**(-4\/19))**(-10) assuming o is positive.\nAnswer: o**(-80\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - q. Let w be c(-1). Let k be (w - 1)\/(-4 + 2). Let u be (-14)\/49 + (48\/(-36) - 556\/(-84)). Solve u*f + k = -19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-7\/3)*q)\/q)\/q*q\/(q\/(q*q*q**(3\/4)*q)))\/((q**37*q)\/q**(-4)) assuming q is positive.\nAnswer: q**(-487\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 13810994 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*r = 839, -2*r + 4*r = -3*i + 1251. Calculate the remainder when i is divided by 3\/(-5) + 21168\/1080.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431435 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898926347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52be90f - -4?\nAnswer: -52be90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-30))\/((-2)\/265) and -137\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 7*q - 8. Let z be f(-6). Is 1\/(3 + (-65)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-16)*(-24)\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 8. Let c be r(-7). Let i(m) = -m - 6. Let p be i(c). Find the second derivative of p*j**5 - 2*j**5 - j + 0*j wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 1435 + 605 = 0. Let a = i - -144. What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*w + 9 - 29, -5*o - 4*w + 26 = 0. Suppose d = -m, 2*m + 2*d = -d. Let u = m + o. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.233 (b) -2\/7 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 2 i when four letters picked without replacement from {n: 2, j: 6, i: 8, t: 2}?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -22. Is 18 a factor of 51 + x - 0\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71027, -142055, -213085, -284117, -355151, -426187, -497225?\nAnswer: -568265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 589*z - 14131. Determine t(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0084379 and -3495659.\nAnswer: -3495658.9915621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-28))\/((9\/5)\/(18\/5))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/208457?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1718*f**2 + 858*f**2 + 862*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(((-2)\/32)\/(2\/(-32)))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*55\/(-2 - (21\/(-7) - -2))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 7:35 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = b - 5*v, -3*v - 19 = -3*b + 11. What is the tens digit of 6*b\/36*168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 - -0.63. Let u = i + -0.01. Which is the closest to u? (a) -4 (b) -0.09 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6939, -3, -1 in descending order.\nAnswer: -1, -3, -6939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**6\/3060 - z**5\/170 + 2*z**4\/51 - 308*z**3\/3 + 236. Let m(o) be the third derivative of v(o). Factor m(r).\nAnswer: 2*(r - 4)*(r - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 144*w**2 - 65937*w - 2767520.\nAnswer: (w - 353)*(w + 49)*(w + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 2*i - 525, 2*i - 546 = -2*u. Let b = i + -137. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0*n**6 + 0*n**4 + 0*n + 1\/30*n**7 + 0*n**3 + 0 - 1\/15*n**5 - 13*n**2. What is the third derivative of m(l) wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102211 (base 3) in base 14?\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(315\/28)*3\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(475) + 1.\nAnswer: 3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 2891?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -974?\nAnswer: -3896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s = 308 + 392 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/48 and -163\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/31 (b) -0.7 (c) -16.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(2\/18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 227340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2846087?\nAnswer: 797, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*o**2 + 43*o**2 + 17*o**2)*(-5*o**3 + 7*o**2 - 9*o**3 - 10*o**2).\nAnswer: -1218*o**5 - 261*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**(-2\/11)\/g)\/g**(-5\/2))**(3\/37)\/((g**(-6\/7)*g**(1\/3))\/(g\/(g**(-1)\/g*g))**(-2\/65)) assuming g is positive.\nAnswer: g**(902659\/1111110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*o - 5*z + 2*z, 3*o + 22 = 2*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*z**3)*((-2 + 4 - 3)*(2 - 5 + 1) + 1 - 3 + 4 + 2 + 0 + 0 + (0 - 3 + 2)*(-1 + 3 + 0) + 4 + 0 + 6).\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 7*z**2 + 11*z + 7. Let g be w(5). Solve h + 4 = -o, -o + g = -h - 4*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089.38 rounded to the nearest 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - ((-10 - -10) + 2)) + (-3 - -15).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4996803867\/2120 - 2356983. Calculate the common denominator of c and -29\/55.\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-3)*315\/(-70). Let f(z) = -z**2 - 7*z + 2. What is f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236 - -161 - -128) + -108?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310564 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/(2*sqrt(8)) + 5*sqrt(48)\/sqrt(2))*5)\/(6*((sqrt(512) + -2*sqrt(512) - sqrt(512))*6 + sqrt(512))) + -5.\nAnswer: -5 - 5*sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/7 - 64*u**3\/7 - 48*u**2 - 640*u\/7 - 416\/7 = 0. What is u?\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 27*g**2 - 50*g + 173. Let a be x(12). Let p(y) = -y**2 - 7*y + 63. Give p(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + 375 = 1635. Calculate the lowest common multiple of q and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(-37)*((p\/p**(3\/16))\/p)\/(p*(p\/(p**(-1)\/p))\/p) assuming p is positive.\nAnswer: p**(-1541\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-210)\/(-28)*(-4)\/6. Let s = 10 - d. Calculate the highest common factor of 105 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 46*d = -51*d - 10, 3*y - 35 = 4*d. Let v be 14\/(-12)*-62 + 2. Let p = -75 + v. Sort p, y, 0.2.\nAnswer: p, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w + 25*w**2 + 4*w + 32*w wrt w?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1235*a**2*d - 25*a**2*o + 337*a**2 + 42521*d*o wrt o.\nAnswer: -25*a**2 + 42521*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s + 1 + 18*s - 26*s in the form o*s + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + 9. Let d = 3 - z. Suppose 5*c - 261 + 16 = d. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 534784 * -0.3.\nAnswer: -160435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 97, -0.1, -0.017, -235?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-36))\/(2\/3). Let m = 114\/3707 - 8896\/48191. What is the nearest to 1 in 1, y, -0.05, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = q. Let g = -61 - -65. Put q, g, 3 in descending order.\nAnswer: g, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 2, v: 1, l: 1}. Give prob of sequence vk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -23 + (2 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2) - 48\/32. Let n(j) = 199*j**2 + 0 + 7*j - 2*j + 4. Let x be n(w). What is x rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 + 33*w - 35*w - 2*w**4 + w**2 + 4*w**3 + 5*w**3 + w**3 + 2 to y*w + s*w**2 + l*w**4 + u*w**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - 37 - 38 + 65. Let t be w(-4). Let b(q) = -q - 1. Let m(o) = 6*o + 6. Let k be ((-68)\/6)\/((-1)\/3). Determine k*b(r) + t*m(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 24129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*c - 3*l, -2*c = 6*l - 2*l + 20. Suppose 2*k + k + 45 = c. Let t = k + 14. Which is bigger: 1\/4 or t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.336 or 0.0644?\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, u: 2, b: 3, y: 2, n: 1}. What is prob of picking 2 b and 1 n?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = -2*i + 15, -4*i = 3*t + 23. Let n(v) = v**2 - 5*v - 21. Calculate the remainder when n(t) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14900000 rounded to the nearest 100000?\nAnswer: 14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53292169.\nAnswer: 7, 19, 29, 41, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 4*b + 4. Let v be m(3). Let c be 34\/v - (-6)\/(-15). Suppose -117 + 60 = -19*a. Solve 0*i + a = -c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17665503 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 49 - 55 - (-1 - (-10 - -3))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 52959 and 4.\nAnswer: 52963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(-2*21\/(-672)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 15 - 14 = 127 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**5\/60 - i**4\/3 + 2*i**3\/3 + 6*i**2. Determine x(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 8*s - 1. Let t be o(8). Let w = 192 - 193. Which is the nearest to w? (a) t (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2 - 3. Suppose 5*c + 21 = 6. Let o = 66 + -64. Let m(q) = q + 7*q**o - 22 - q + 18. Give c*m(v) + 4*g(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let a(z) = z + 5. Let v(c) = -2*c - 1. Let p(t) = a(t) + v(t). Determine p(j) + 3*x(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24590211?\nAnswer: 3, 17, 71, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c**5 + 1 + 8*c - 413*c**4 + 13*c + 413*c**4 wrt c?\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d8c3 (base 14) to base 15.\nAnswer: -30374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 + 2*j**2 - 9*j - 6. Let i(n) = 4*n**3 + n**2 - 8*n - 5. Let x(h) = -5*a(h) + 6*i(h). Suppose -17*m + 16 = 50. What is x(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*w**4 + w**4 - 14*w**4 + (4*w**3 - 3*w**3 + w**3)*(-1 + 1 - 2*w) to l + r*w + g*w**4 + q*w**2 + t*w**3 and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-14) + -44*10\/280?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, x: 7, f: 5}. Give prob of sequence sssx.\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 11 + 8)*(261 - 261 - y)*(-y + 0*y + 2*y) in the form i + r*y**2 + z*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - -83. Suppose -8*d + 361 = 1009. Let u = x + d. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 1 - 1 - -4) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301 + 300. Is -18 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44831*f**5 + 177*f wrt f?\nAnswer: 896620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u**2 - 4*u + 3. Calculate the remainder when a(2) is divided by (0 + -1)*8\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 50. Let f be o(13). Let c(k) = 17*k**2 + 14 - 14 - 12*k**f. Let d(x) = 4*x**2. Give d(c(h)).\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.73 + -223.27. Let j = l + 226.00000093. What is j rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27887 + 27631 - 57530 - 234*l**2 wrt l?\nAnswer: -468*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 278480, 1114026, 2506604, 4456214, 6962856, 10026530, 13647236?\n\"Answer: 278516*a**2 - 2*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3759\/(-2148)*324\/21\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2473*t**3\/9 + 39566*t**2\/9 - 158240*t\/9 - 128\/9.\nAnswer: -(t - 8)**2*(2473*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 516 = i, -2*i - 5*c = 1264 - 252. Let p = i - -3477\/7. Are -2.2 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262243 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1200 and -137\/9300.\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 + 0 - (-2 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -947 or 19\/127?\nAnswer: 19\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 3, o: 1, b: 4, y: 6, t: 3}. Give prob of picking 1 y and 1 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**(1\/15)))*u\/u**(-8))\/(u**(-3\/2)*u)**(-1\/49) assuming u is positive.\nAnswer: u**(14587\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22352 or 22356?\nAnswer: 22356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3 + 7\/2). Solve 5*b + 3*l - 2 = -l, -b + l = -f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**8\/504 + o**6\/45 - o**5\/45 - o**4\/12 + 2*o**3\/9 - o**2 - 182*o. Determine f, given that p(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 39251.\nAnswer: 39251.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (328\/(-60))\/(12\/15) - 1415\/849?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f + 2694 - 3347 - 5435 = 5612 for f.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 - 15*p + 52. Give x(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355833 is divided by 3179?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -5. Suppose -4 = -3*n + 5. Let z = n - l. Solve -2*q + z*q + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7625318?\nAnswer: 2, 29, 31, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 1566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -52.5742?\nAnswer: 736.0388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 + 13*s. Let o be p(6). Let y(x) = -x**3 + 0 + 8*x**2 + 3*x + 1 - 11*x. List the prime factors of y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 141779.\nAnswer: 10\/141779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 4. Let b(w) = 4 + 3*w**2 - 117701*w - 5*w**2 + 117701*w - 1. Suppose 0 = 2*t - t + 4. Calculate t*b(z) + 3*m(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i - 101*i = 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2875853193 and 843.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13709, 13708, 13707, 13706, 13705, 13704?\n\"Answer: -s + 13710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-12)\/16 - 2*-1. Solve v - 3*s - 11 = 0, -2*v - p*s - 29 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (-3 + (-36 - 23))) + -34?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 24. Let u = q - 29. Let o = 8.0003 + u. Round o to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a**3*h**2 - 7*a**3 + 11*a**2 + 73*a*h**2*m - a*h*m + 53*a*m wrt h?\nAnswer: -12*a**3*h + 146*a*h*m - a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/5? (a) -4 (b) 3 (c) 9 (d) 2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -21) + -6 + -565. Let l = 1200 + n. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -680.9 - -681.1. Let s = -2 + 1. Let b = 5 - 7. What is the nearest to s in -8, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 834 and 489?\nAnswer: 135942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.73 - -31.73. Let p = -3305985.9999825 + 3305955. Let w = z + p. What is w rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from cdddqdkdqdccdqqq.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, 4*j + 2 + 2 = 4*k. Is (-9)\/(-18)*k*470 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/23? (a) -3\/4 (b) 2 (c) -1 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 677390 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421, 890, 1363, 1840, 2321, 2806, 3295?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -175*72\/(-2700)*9\/(-3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttw when three letters picked without replacement from twwwwtwwwwt.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34021136 >= 68042273\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 21 = 2*g. Factor 267*w**2 - 267*w**2 - 4*w**5 + 4*w**g.\nAnswer: -4*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/4 in -25\/2, -81\/31, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 10260 = 6*u. Let z be u\/(-912)*(-22)\/(-10). Which is the third biggest value? (a) 0.4 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 - 2.3. Put 0, d, 12 in decreasing order.\nAnswer: 12, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 3*x**5 + 140*x**3 + 3*x**4 - 140*x**3 - 4*x**2.\nAnswer: -x**2*(x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70224 + -4143?\nAnswer: 64061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1525328728169 + 1525328721802.00007299. Let o = w - -6367. Round o to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 3. Suppose 10 = -3*s + t, -8*s + 2*t = -4*s + 14. Calculate j(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5626*q + 45 = -5632*q, -2*q - 23 = 4*l - 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 3, y: 1, t: 2, j: 3}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 100*f**2 - 16*f + 138. What is the hundreds digit of z(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110 + 10111110?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11 = 4*y, 3*f + 5 = y + 5*f. Suppose y*s = 12, -4*u + 64 = -0*s - s. What is the remainder when 33 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from lkklkkkkkkk.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29 + -24 + 20216 + -2 + -2.\nAnswer: 3, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 16) to base 9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12445 = 55*o - 10520 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 101, -1\/5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmr when three letters picked without replacement from mymrmymy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 - 37\/2*z**3 - 1\/10*z**5 + 0*z**4 + 226*z - 101*z**2. Differentiate v(l) wrt l.\nAnswer: -6*l**2 - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/30*q**6 - 1\/168*q**8 + 0 + 1\/105*q**7 + 0*q - q**2 - 1\/15*q**5 + 1\/3*q**3 - 1\/12*q**4. Find j, given that c(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16545733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 210344 (base 5) in base 9?\nAnswer: 10508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**3 - r**2 + r - 1. Let u be h(2). Suppose f - 211 = -4*b - 180, 10 = 4*f - 3*b. Solve 16*m = f*m - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q + 42 - 42)*(3 - 3 - 5*q**3) + (q**2 - 3*q + 3*q)*(1 - 1 - 3*q**2).\nAnswer: 52*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660 and 3916?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -207*u**5\/10 - 29*u**3\/6 + 7*u**2\/2 + 299*u. What is the second derivative of m(y) wrt y?\nAnswer: -2484*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3600 = -2*l, 5*l + 2966 - 11982 = o. Let k = l - 1263. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 4, -27, -82, -167, -288?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 10 - 6*f**2 + 11)*(2 - 2 - 2).\nAnswer: 12*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 85*d - 117. Does 31 divide v(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.12 and -0.12.\nAnswer: -8.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4 + 1426*x**3 - 122884*x**2 - 339330*x + 126711 = 0?\nAnswer: -3, 1\/3, 117, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from zllxoxixlxixxxol?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 4*m**2 + 3*m + 1. Suppose 3*n - 2*n = -2. Let y = n + 0. What is i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7779978 is divided by 236.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:00 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 * 958\nAnswer: 172.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - 2*w**2 + 0*w**2 - 28*w**2 - 7*w**2 - 54*w**2 + ((-3*w - 2*w + 3*w)*(-4 + 4 + 2) + 3*w + 2*w - 3*w)*(2 - 2 + w).\nAnswer: -89*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 87 = -35*c. Is 21 a factor of 15\/c + 546 + 8 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187493.\nAnswer: 17, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**14\/j)*j\/(j**(-3\/5)\/j*j*j)*j*j*j)\/(j*j\/(j\/(j*j**(-2\/5)*j))*j*j*j**(-2\/11)) assuming j is positive.\nAnswer: j**(-141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -270? (a) 4\/7 (b) -1\/6 (c) -2\/3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007146 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5121 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 2*w - 4*d, -5*w + 1027*d = 1042*d - 115 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71960642?\nAnswer: 2, 13, 2767717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*198387.\nAnswer: -7538706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 1358 = 33*z. Suppose z - 197 = -27*h. What is the common denominator of h and 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3488 or -3489?\nAnswer: -3489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4 and 12\/(-20) + 4\/(-16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16531 is divided by 212.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = -0*g - 48. Let x be (1 - 1)\/(g - (-6 - -4)). Let z(j) = -j + 18. Calculate z(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:05 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/5 + 6987118*h\/5 - 1397424 = 0.\nAnswer: -3493560, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 1. Let o(j) = 4*j + 1. Let u(f) = -7*i(f) + 5*o(f). Let z = -4588 - -4599. Let n(p) = 2*p + 5. Determine z*u(s) + 4*n(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-1 - 11) + (1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**14)**(-2\/11))**(-6\/29) assuming o is positive.\nAnswer: o**(168\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2179, -4359, -6541, -8725, -10911, -13099, -15289?\n\"Answer: -y**2 - 2177*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1971 - 1785. Calculate the highest common factor of z and 992.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23055337.\nAnswer: 211, 109267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/(2904\/4248) + 86?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**3 - p**3 - 2*p**3)*(3*p - 4*p + 2 - 9*p) in the form l*p**4 + r + a*p**3 + k*p**2 + y*p and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w. Let i be y(-1). Let n be i\/(-40) + (-20)\/(-50). Which is the biggest value? (a) 0.12 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166160 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148467 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.108 + -0.052. Is l less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3219 = -3*f - 2*q, 2*f + 9*q = 8*q + 2144. What is the remainder when f is divided by 72?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.4, 0 in ascending order.\nAnswer: -1\/2, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d - 3. Suppose 5*o - 565 = -m, 1805*o + m = 1810*o - 565. What is the remainder when o is divided by k(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(87\/6 + -4). Let s = u - 36. Let l be (20\/s)\/4 + (-193)\/(-3). What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2726*p - 3. Let a(o) = -1346*o + 2. Determine -7*a(w) - 4*l(w).\nAnswer: -1482*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 + -0.6. Let q = 94.7 - 105. Let r = 10.5 + q. Which is the closest to 1? (a) m (b) r (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = -4*a - 6, 3*a - 22 = -4*j. Suppose 114*c - 515 = -173. Solve 2*f + 2*z = 0, -c*f + j*z - 3 = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*-2*3. Suppose -p*c - c = 8. Let y = -1 - c. Is 0 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124130*d**2 + 62043*d**2 + 452*d**3 + 62087*d**2 - 459*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -43 + 3*l**2 + 3*l + 47 - 4*l**2 + 10*l**2. What is the remainder when b(4) is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 468801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 16124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34006 times -1.93?\nAnswer: 65631.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6088128 to four dps.\nAnswer: 0.6088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (20\/(-15))\/2 + (-1109)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193052016?\nAnswer: 2, 3, 1340639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11413990316.766 - -4.\nAnswer: 11413990320.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -0.1, -4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1424183 (base 9) to base 4\nAnswer: 2333113113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5368, 5369, 5372, 5377, 5384?\n\"Answer: k**2 - 2*k + 5369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7, m: 2, a: 1}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155\/42 + 27\/7. Let o = -5 + 6. Let w be (-45)\/(-35) + o*-1. Put f, 2, w in decreasing order.\nAnswer: 2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/10 + (-1)\/5. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8913 - 6771 = -126*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1\/12)*n)*n**(12\/7))**(1\/4) assuming n is positive.\nAnswer: n**(53\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*b - 3*b - 2*t, 6 = 3*t. Let y(p) be the first derivative of p**2\/2 - p + 2. Give y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62666542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229.2 + 228.7. What is the closest to 2\/7 in -0.601, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2864 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 30. Let p(n) = -2*n**2 - 1 - 218*n**a + 219*n**3 + 4*n - 3. What is p(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21170 - 129?\nAnswer: -21299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.747889 microseconds to seconds.\nAnswer: 0.000007747889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkkke. What is prob of picking 1 e and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -0.41. Let y = -2 + 1. Let s be 1\/(-3) - y\/21. Sort s, 3, u in decreasing order.\nAnswer: 3, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/k**(2\/13))\/k*k*k**(-1\/7))\/((k\/(k*k**(-2\/5)))\/k)**(-2\/23) assuming k is positive.\nAnswer: k**(17279\/10465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 7) to base 2.\nAnswer: -111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - 0.2500524. Round n to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 427725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5959 times 5\nAnswer: 2.9795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010 - -110101101100001011?\nAnswer: 110101101001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyq when three letters picked without replacement from mqmqmmqyqmmyyyyymmm?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -6)\/(4\/10). Suppose -3*x - 82 = s - 2*s, 0 = -s + d*x + 90. Suppose 4*g + g = s. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17633 and 36883?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 9*b. Solve b = 4*y - 12, 0 = -5*x - y - 4*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 smaller than -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 7, -222, -7311 in increasing order.\nAnswer: -7311, -222, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mppmpmpppm. What is prob of picking 1 m and 1 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 62. Let c be 2 + q + 1 + -3. Suppose 5*f - 2 = c. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8 - 4)*(-14)\/(-48) and 2 + -4 + (-172)\/(-80)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-39))\/(44\/330).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.027619 litres to millilitres.\nAnswer: 4027.619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*z = 143, -2*w + 302*z + 299*z - 226 = 597*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -31, -49, -67, -85, -103?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 947646 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2 - (4 - 2). Calculate the smallest common multiple of 22 and 2 + -1 + i - -17.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/12)\/((-24)\/60))\/(130\/312)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 + 5 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/271881 and -15\/60418?\nAnswer: 543762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/588*(-3)\/((-18)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - w + 0*w + 1829 = 0, 5*r - 3063 = 2*w. What is r rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*o, -1 = -u + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 8 + -4 + -5 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(117) - (sqrt(117) + -3 + 3))*-5)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 5*j + 5*j)*(147 + 27*j**2 + 140 - 280).\nAnswer: 27*j**3 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1005, -999, -993, -987, -981?\n\"Answer: 6*t - 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/848400 and 3\/646400?\nAnswer: 13574400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.2 minus 218889.677?\nAnswer: -218955.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385448.989 rounded to the nearest 100?\nAnswer: 1385400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) - (sqrt(13) + -2)*-5 - sqrt(13)))**2*-5.\nAnswer: -19125 + 4500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 65. Suppose l*v + 24 + 498 = 0. Is v not equal to -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2083 - -4745. What is the greatest common divisor of d and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 894 + -738. Suppose 3*z + 111 = s. Calculate the smallest common multiple of 5 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.305535533 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-1 + -2)\/24. Let j = 0.6 - -1.4. Put v, j, 0.3 in ascending order.\nAnswer: v, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/11 (b) -776.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 2. Suppose -4*x + 7 - 2 = 3*g, 0 = -2*x + 2*g + 6. Let h = -2 + x. Suppose 3*d - 4*d - 5 = h. What is r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 7324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.0563916 to 3 dps.\nAnswer: 91.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -341, -1153, -2505, -4397, -6829, -9801, -13313?\n\"Answer: -270*c**2 - 2*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 13*i - 18. Let v be w(14). Let o be v\/((-3 - -4)\/(-500)). Round o to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 4*k + 9, -3*l + 18 = 3*k. Let v = l - -2. Let f be 2 + (-4)\/8 - 6\/4. Solve v*c - 5*w + 10 = f, -5*c - 4*w - 1 = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010493 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 9*x - 21*x + 2275. Calculate the remainder when 181 is divided by x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -4 + 2)*6 + 3*(((sqrt(864) + sqrt(24))\/sqrt(6))\/sqrt(2))**2.\nAnswer: 24*sqrt(2) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*f*g*m**2 + 21*f*m**3 - 15*g*m**3 - 2*g - 13 wrt m.\nAnswer: 126*f - 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -491\/9. Suppose 0*f - 4\/9*f**2 - 2\/9*f**5 + q*f**4 + 2\/9*f**3 + 0 = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 362\/113 (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5936 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1357\/42 + 344\/7. Calculate the common denominator of g and -36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-88)\/16)\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 36*f**2 - 14*f + 5. Let g be n(-18). Let l = 500 - g. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9 - (-4)\/(-6). Suppose l = -0*r + 4*r - 256. What is the remainder when r is divided by -5*9\/(-15) - (-22)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 - (-9 + 6 + 2)) + (6 - (17 - 8)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o + 17*o - 37983. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*s - a, 4*s + 5*a - 40 = 0. Let v = 14 - 7. What is the remainder when v is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 1, f: 3, g: 2, k: 1, s: 3}. Give prob of sequence kslh.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2307*k**2 + 15592*k**3 + 3179*k**2 - 19167*k**3 wrt k.\nAnswer: -21450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68\/253 + -2\/23. Which is the second smallest value? (a) x (b) -0.5 (c) -20\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680310.\nAnswer: 2, 3, 5, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4560*c**4 + 8556*c.\nAnswer: 54720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270295 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/17, 1\/4, 2\/285, 3\/7, -14, -4 in decreasing order.\nAnswer: 3\/7, 1\/4, 3\/17, 2\/285, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 335 + -162. Calculate the common denominator of 11\/30 and b\/90 + (3 - (-48)\/(-15)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -171*b**2 + 13*b - 223. Let r(t) = -37*t**2 - 46*t**2 + 111*t**2 - 2*t + 37. Let p(y) = 39*r(y) + 6*z(y). Differentiate p(f) with respect to f.\nAnswer: 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from -165793049017690.\nAnswer: -165793049017689.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w**2 + 3*w - 3. Let r be f(1). Solve -3*q + r - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -12 - (1 - (31 + -14 - 21)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 236 = -3*f + 368, -2*b + 162 = 3*f. What is the least common multiple of 490 and f?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74.5 + -74. Let y(m) = -m - 3. Let w be y(-6). Which is the third smallest value? (a) -0.2 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 202\/303*-1*(-9)\/(-2). Let m(l) = -2*l**2 - 11*l - 7. Let x be m(-6). Put g, -4, x, 3 in decreasing order.\nAnswer: 3, g, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396))**2 + 1 + sqrt(44)\/sqrt(4) + sqrt(11) + ((0 + sqrt(891))**2 - sqrt(891) - (sqrt(11) - (sqrt(11) + 1)*-2)**2).\nAnswer: -31*sqrt(11) + 1186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1645, 6, -3 in increasing order.\nAnswer: -3, 2, 6, 1645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i*i*i*i\/i**(-46)*i*i)\/(i\/(i\/((i\/i**1*i)\/i))*i*i**(-26)) assuming i is positive.\nAnswer: i**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*n + 28 - 8 = 0, 17*c - 15 = 4*n - 75 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4695 - 959. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 57\/(62814\/11774).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 9*r**2 + 12*r + 24. Let u be x(-10). Solve 0 = 2*y - 2 + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -6276085?\nAnswer: 6276101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3 + 2. Let s be 1 + -1 - x\/3. Suppose 25 = -0*o - 5*o + 2*i, -5 = o - 4*i. Which is the third smallest value? (a) o (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*0.3483.\nAnswer: 5.2245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 133?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.9 + 8. Which is the closest to -0.1? (a) 3 (b) 2\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/7182*-19 - (-2248)\/(-270)) + 10?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 16) to base 2.\nAnswer: -1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -133 + 133 - 14*w + 0*w + 5*w - 3*w + (-5 + 5 - 1)*(3*w + 0*w - w) + w + 1 - 1.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 0.3, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l - 28. Let v(q) = -3*q**2 - 5*q - 6. Let g(h) = 4*h**2 + 6*h + 7. Let z(c) = l*g(c) - 7*v(c). What is the second derivative of z(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and 113.\nAnswer: 6441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6510825 divided by -7615?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(192) + -4 + 2 + sqrt(192) + -5 + sqrt(192)*-1)**2 + (sqrt(192) + 2 + -4 - (-4 + (sqrt(192) - (sqrt(192) + 1)) + sqrt(192)))**2.\nAnswer: -112*sqrt(3) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -10*r**2 + 0 - 1\/24*r**4 + 0*r - 1\/3*r**3. Suppose 12 = -j - 3*j. What is a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y)\/y**6*(y**0)**1 assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -304905.4 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 108 + 8 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0*l + 0 + 23*l**2 + 4\/27*l**3 - 1\/270*l**5 + 1\/36*l**4. Factor a(s).\nAnswer: -2*(s - 4)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 78 = 4*c, -3*c - 6*n + 4*n + 58 = 0. Suppose q = 3*q - 5*p - 22, c = -5*p. What is the hundreds digit of (q - 2)\/((-1)\/159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/275 (b) -1736\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 337*z**7\/105 + z**4\/24 + 75*z**3 + 273*z**2. What is the derivative of l(p) wrt p?\nAnswer: 2696*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + 3*b)*(0*b + 3*b - b)*(5*b - 3*b**2 - 5*b).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) -0.07 (c) -0.3 (d) -1\/25 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**2 + k - 1. Let u be o(1). Factor -11*p + 11*p + u - 147*p**2 + 0.\nAnswer: -3*(7*p - 2)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 28 = i. Suppose 11*h + 84 = i*h. Let n = 24 + h. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(6\/9)\/((-5)\/((-20)\/(-6))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10120)\/86526)\/(2\/(-18)))\/(5\/2)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 24. Suppose i + 0*i - o = 0. Solve v = i*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/2))**(-28)*(b**(-11))**(2\/91) assuming b is positive.\nAnswer: b**(-6392\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*k + 199*k + 1342 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w**0*w)\/w)\/w)\/w*w*w)**(4\/5))**17 assuming w is positive.\nAnswer: w**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368901\/1159 + (-2)\/19 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*d = 110 - 30, d = -2*a - 31. Let s = a - -25. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v + 1. Let y be q(1). Let n = -0.5 - -0.4. Which is the closest to n? (a) -1 (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u**3 + 3*u)*(-7 + 106 - 241 - 49 - 282).\nAnswer: 1419*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10151204?\nAnswer: 2, 7, 181, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265869268 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-36 - (-6 + -9)) + -37.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 459*h**2 + 966*h**2 - 460*h**2.\nAnswer: 47*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 3*q - 1\/30*q**6 + 0 + 1\/8*q**4 + 0*q**2 + 1\/3*q**3 - 3\/40*q**5. Let k(o) be the second derivative of n(o). Factor k(y).\nAnswer: -3*(y + 1)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16614362 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3009081, -6018180, -9027289, -12036414, -15045561, -18054736, -21063945?\n\"Answer: -a**3 + a**2 - 3009095*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(4 - 7)*-1. Does m = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (11 - -2) + -22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8763, 20625, 40395, 68073, 103659, 147153, 198555?\nAnswer: 257865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4*k**3 + 18*f**4 + 2*f*k**3 + 210*k**3 wrt f?\nAnswer: 8*f**3*k**3 + 72*f**3 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 3520289?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -14 + (14 + -4 - 1) + 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685258 is divided by 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8034, 3, 478, 0, 5.\nAnswer: 0, 3, 5, 478, 8034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.3166 years in decades?\nAnswer: 79.83166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -16. Let i be 27\/45*(-4)\/w. Which is the second smallest value? (a) 0 (b) i (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5020, 1, -1 in decreasing order.\nAnswer: 5020, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0883232nm in millimeters?\nAnswer: 0.0000000883232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1263, 2589, 3969, 5403, 6891, 8433, 10029?\n\"Answer: 27*s**2 + 1245*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17248349791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4726900 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 527 + 11 = 0. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 7 - 6)*(-1 + 5 + 4)*(-4 + 4 - 2)*(-61*g + 98*g - 2*g + 52*g) in the form k*g + m and give k.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76428 + -52021. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.63500437 - -0.639399. Let t = 0.0044 - n. What is t rounded to 7 decimal places?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17159 = -j - 5*x, -12234 - 73561 = -5*j - 5*x. Let f = -11659 + j. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (1 - -1)*(-6 + 325)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 16 = -a. Suppose 5*w = a*w + 9. Suppose 0 = 4*v - 7 - w. Solve 0*g + 3*g - 9 = 3*h, 18 = g - v*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (6 - (17 - 1 - 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {k: 1, v: 7, s: 1}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 526\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 28 = -9*p. Suppose -2*h = 2*s - 119 - 365, -p*s + 968 = 3*h. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 142.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2 - (5229\/1767 + 26\/(-403))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 900790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183468797?\nAnswer: 183468797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 - i + 1141. Let w be (0 + (-2)\/4)*2. Let r(a) = -4*a**3 + a**2 + 5. Give w*r(u) - 5*k(u).\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, -828, -2738, -5390, -8784, -12920, -17798?\nAnswer: -23418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-4))\/(84\/56) + (-4)\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1543\/147728 - 2\/1319. Which is smaller: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 5*u + 4*u)*(-2 - 1 + 4) - 21*u - 16*u + 30*u + (3*u - 2*u - 3*u)*(18 - 4 + 20) as y + j*u and give j.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4265000 to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -1) + 9 + -6 + 11 + -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 43*f**2 - 202*f + 127. Calculate o(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32388a (base 13) to base 6\nAnswer: 41134334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*m**3 - 139*m**3 + 28*m**3 - 141*m**3.\nAnswer: -309*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 3*r - 8*r)*(4 - 5 + 2)*(-15 + 7*r**2 + 15) + (6 - 4 - 4)*(3*r**3 - r**3 + 0*r**3) - 3*r**3 + 0*r**3 + 5*r**3 + 2*r - 2*r - r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:05 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, 2, 2\/3, -0.4, 3639\/7 in descending order.\nAnswer: 3639\/7, 25, 4, 2, 2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164899447 a multiple of 1778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 1. Let p(x) = -4*x - 4. Calculate -3*a(m) + p(m).\nAnswer: -7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*x**3 - 14716456*x + 85436070 wrt x?\nAnswer: 9*x**2 - 14716456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -5, -27, 1, 3, -560 in descending order.\nAnswer: 3, 1, -5, -27, -62, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 11*j - 29. Let s be k(-4). Suppose -18 = 5*d - 8. Sort d, s, 23.\nAnswer: d, s, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/42 - 361*u**6\/30 - 1089*u**5\/20 - 1091*u**4\/12 - 182*u**3\/3 + 5*u - 3. Factor g(t).\nAnswer: t*(t - 364)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/9 + 8\/(-12). Let a be u + 15*10\/25. Let m = -43 - -115. What is the greatest common factor of a and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9120, -0.1, 1\/29, 2, 49 in ascending order.\nAnswer: -9120, -0.1, 1\/29, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q + 5*q = -k + 54*q + 66, 44 = -5*q + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -200 - -202. Solve -2*u - a*o = -4 + 12, -2*o - 1 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/42*(-36)\/(-48)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3\/8 + 33*t**2\/8 + 39*t\/4 + 6 = 0?\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.74 + 1.14. Which is the second biggest value? (a) -0.1 (b) 0.05 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9699 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 125855359 divided by 7\nAnswer: 17979337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*r - 281*r + 18*r**2 - 311*r + 820*r.\nAnswer: 18*r**2 - 100*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -1 (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*b**2 + (-6*b - 2*b - 7*b)*(b + b - 3*b))*(19*b + 4*b**2 - 19*b) as l + d*b**4 + p*b**2 + q*b**3 + m*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (334098 + 109*x - x**2 - 668196 + 7*x**4 + 334095)*(7 - 4 - 1).\nAnswer: 14*x**4 - 2*x**2 + 218*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(112) - -2*sqrt(7)*2)*3.\nAnswer: 6 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.596382 + 0.1?\nAnswer: 136.696382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -79. Let l(q) = -q**2 - 38*q + 41. Let j be l(d). Solve -1 = j*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863406250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2322712 (base 8) to base 11.\nAnswer: -3a2038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, 5, 3, -2 in descending order.\nAnswer: 5, 3, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, 0, -12, 5 in decreasing order.\nAnswer: 12, 5, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 6. Suppose 4*f = w*f - 55. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -27. Suppose 3*f - p = 3*p + 8, 2*p = -j*f + 10. Suppose 0 = 2*c - f*c + 34. Calculate the highest common factor of 68 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40068 and 1749.\nAnswer: 440748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-13 + (12 - 23))\/(-20 + 1 + 10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*f - 120 = 0. Let t = 4 - f. What is the remainder when 79 is divided by 7*(t\/(-7) - 2) - 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -4*r, -3 = 4*r - 3*b - 2*b. Let n = r + 3. Solve n = -3*d - 3*f, 0 = 3*d - 0*f - f + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + (45 - 43 - -17 - (-1 + 10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 - 1)*(3*n**4 - 2*n - 5*n**4 + n) in the form t*n**4 + y*n**3 + m + r*n + k*n**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 3*h)*(-7*h**2 + 2*h**2 + 4*h**2) - 2*h**3 + 3*h**3 - 3*h**3 + 4*h**3 + 5*h - 5*h + (-6*h + 5*h - h)*(2*h - 3*h + 3*h)*(10 - 10 + 4*h).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47782405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -545, 13.25, 2 in decreasing order.\nAnswer: 13.25, 2, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d*i**2*j*t + 3*d*i**2 + d*i*j*t + 2*d*i*j + d - 2*i**2*j*t - 2*i**2*j - 5*i*j*t - 2*i wrt i.\nAnswer: -6*d*j*t + 6*d - 4*j*t - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**2*z**4 - 31*u**2*z**2 - 56*u**2*z - 2*u**2 + 3*u*z - 708*u + 1811*z**2 + z - 1 wrt z?\nAnswer: -36*u**2*z**2 - 62*u**2 + 3622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 3. Suppose -2*l + l - 2*s - 3 = 0, -l + s + 12 = 0. What is the remainder when h(4) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 3. Let d be y(-1). Which is the nearest to -3? (a) -0.5 (b) 2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m + 5*m + 0*m)*(2 + 9 + 21).\nAnswer: -256*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 4:05 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2 + 101*m + 84. What is f(-12)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193867280 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34170641 at most 34170643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209*a**4*t**2 + 868*a**4*t + 171*a**2*t**2 - 10*a**2*t + 5*a**2 - 2*t**2 - 2 wrt a.\nAnswer: -5016*a*t**2 + 20832*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.2, -7, -0.5, 4, 1\/24, -52\/9, 0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 592233 less than or equal to 592236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*g**2 + 21*g**3 + 24*g**2 + 10*g**3 to s*g**2 + c*g**3 + d + j*g and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 104, -245 in ascending order.\nAnswer: -245, -15, 1, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37c + 98?\nAnswer: -2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 12:38 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 951166, 951167, 951168, 951169, 951170?\n\"Answer: v + 951165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**2 + 812*c + 7654. Calculate u(-9).\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -4*k - 46, -5*p - 26 = 4*k. Let a = k - -84. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 7*z**2 - 2*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - 9.86. Let y = 109.68 - 113. Let h = -3.12 - y. Which is the closest to h? (a) -1\/8 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26232886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2183232.38 to the nearest 10000.\nAnswer: -2180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, and 1 o when three letters picked without replacement from xuxookkkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 63*x**2 + 23*x + 466. What is the remainder when p(-11) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*z - 2715*z - 2897*z - 4987*z.\nAnswer: -10807*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -98\/4721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4*y + 5*p**2*y - 2309617*p**2 - 20540014*p*y + 5*y wrt p.\nAnswer: 12*p**2*y + 10*y - 4619234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14481045 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 1. Let l = -6849 - -6854. Which is the closest to 34? (a) 2 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536246407, 1072492816, 1608739225, 2144985634, 2681232043?\nAnswer: 3217478452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -14 - (-48 + 50 + -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.714 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 100*i - 1. Let z be h(-1). Let v = z - -198. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1033*523.15\nAnswer: 54.041395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18 - (-82)\/738)*(3 - -66)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 221 = 3*p, -4*p = -3*w + 121. Calculate the remainder when 141 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55571*s**2 + 1031*s**4 + 55571*s**2 + 0 + 0 - s**4 + 2 + 2*s**4 - 2 + (2*s + 1 - 1)*(2*s**2 - 2*s**2 + 2*s**3) + 6*s**4 + 4*s**4 + 0*s**4.\nAnswer: 1046*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197980 is divided by 159.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2167 (b) 22 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccncccccccccc. What is prob of picking 1 n and 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1896094.\nAnswer: 2, 131, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 303821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:09 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 3*v**2 - 43 - 55*v**2 as i*v**2 + f + r*v and give i.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(147) - sqrt(147))*-3 - (0 + 1*sqrt(147) + sqrt(147)*2 + -4))**2.\nAnswer: -42*sqrt(3) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 21*d**2\/2 - 37*d - 2. Let y(j) = -5*j + 9. Let p(b) = -2*q(b) - 9*y(b). Is p(5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 12*p. Suppose -2*s + 3*f - 2 = -12, 0 = f - 4. Determine o(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502210539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:14 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 392186422 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -349\/2107 - -8\/43. Let d(x) be the second derivative of -1\/105*x**6 - c*x**7 + 0 - 2\/21*x**3 + 1\/14*x**5 + 1\/42*x**4 + 0*x**2 - 4*x. Solve d(w) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456053\/190020 - 1\/38004. Determine x so that -v*x - 8\/5 + 18\/5*x**2 - x**3 = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Suppose -3*j - w = j - 20, -3*j + 15 = m*w. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/32472124 and 13\/2715?\nAnswer: 487081860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46775?\nAnswer: 5, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**(-5)*u)*u\/(u\/u**(-1\/5))*u\/(u*u\/u**(6\/13))*u**(-3\/10) assuming u is positive.\nAnswer: u**(-183\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607359 by 607359.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - -20. Suppose -2*g - n + 18 = 0, 5*n + 12 + a = 5*g. Solve g + 1 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**2 - 4*q - 1. Suppose -32 = -4*a + 28. Suppose -2*k = k - a. Is z(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5555)\/404*(-16)\/10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20b + -4?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(-4)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 57925?\nAnswer: 463400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -169 + -1 - (1652 - 1799).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 + 1 + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92468*l**2 - 78366 wrt l?\nAnswer: -184936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 + 3)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 105 + 0*u**2 + 4*u**3 - 85\/2*u**4 - 10*u. What is the third derivative of s(y) wrt y?\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 681, 1019, 1357, 1695?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1014958, 2029903, 3044828, 4059721, 5074570, 6089363?\nAnswer: 7104088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/43)*f*f**(-1\/26)*(f*f**22*f*f)**(-1\/48) assuming f is positive.\nAnswer: f**(13073\/26832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27 + -33 + 4)*4\/(-2). Let f = -13 + 12.8. Put f, v, -1\/10, 1 in descending order.\nAnswer: v, 1, -1\/10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*j + j = -1227732. Calculate the greatest common factor of j and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -5083?\nAnswer: 5097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 16, 25, 34?\n\"Answer: 9*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 655793*o - 655793*o - 485*o**2 in the form s*o**2 + u + b*o and give s.\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185018 + -185016. Suppose -1\/5*w**t + 8\/5*w - 16\/5 = 0. What is w?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.38 - 4.62. Which is the third biggest value? (a) -0.2 (b) n (c) -9 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:04 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (252\/270)\/(168\/80)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*1*5 - -3*-2*sqrt(170))*-5)\/(sqrt(10) + sqrt(360)*-2 + (sqrt(10) - (sqrt(90)\/sqrt(3))\/sqrt(3))).\nAnswer: -5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 + 86. Suppose -x = 3*k - 664, -4*k + 3*k + 3*x = -u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 21 = -3*t, 2103*u + 21 = 5*t + 2105*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677 a factor of 437918103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3) - sqrt(2)))\/(-2*sqrt(600) + sqrt(600) + sqrt(600) + sqrt(6) + sqrt(6)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11987.01566 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 5*k - 5. Let n(r) = -r**2 + 3*r + 3. Suppose -3 = -6*w + 3. Let l be 24\/(-8)*1*(2 - w). Calculate l*f(z) - 5*n(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*g - 11. Let u be 3 - (27\/(-5) + 2). Let o = u - 23\/5. Is o at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3770.28 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1777*h = -1958*h - 4163 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r = 0. Let q(p) = -p**2 + 8*p - 3. Let m be q(7). Let b(n) = 2*n + 1. Let l be b(-1). Put l, m, r in decreasing order.\nAnswer: m, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -73 (c) -190 (d) -4 (e) -11\/5 (f) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 42368.\nAnswer: 466048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:03 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -30. Suppose 3*b + 3*f = 129, 4*b = 2*f + 139 + 51. Suppose -b*p = -o*p. Is p less than 10\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -0.5, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009520475 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 20303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-13)*y**9*(y\/y**(-6\/7))\/(y*y**7) assuming y is positive.\nAnswer: y**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -268603?\nAnswer: -268603.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15737\/16 + 11625\/16. Let r = -1721 + q. Find the common denominator of r and 57\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2091 (b) 7552 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1066034802 and -1.045.\nAnswer: -1066034803.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6\/7 (b) -5 (c) 614 (d) 2\/11 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, h: 7}. What is prob of picking 2 h and 1 y?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 22*l + 88 = 0. Suppose 46*x - l*x - 6 = 0. Suppose -w + 2 = 0, 0*w - 25 = -x*o + w. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317 = -3*h + 2343. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4062*m**3 - 1466*m**2 - 5*m - 2. Let w(s) = -8122*s**3 - 2931*s**2 - 13*s - 5. Let f(q) = 5*n(q) - 2*w(q). Find the third derivative of f(i) wrt i.\nAnswer: -24396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000111111011110 (base 2) to base 4\nAnswer: 220333132","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-27)\/(-180))\/((-75)\/(-25)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -t - 2*t + 468015, -4*j + 3*t + 1871985 = 0. What is j rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 times 3\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000033134 rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - 3*k + 15, -n - 5*k = -11. Let f be 0 - (3 - 4)*2. Solve 35*t**3 - 7*t**5 + 69*t**2 - f*t**3 - t**4 - 5*t**5 - 14*t**4 + 39*t + n = 0 for t.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - (-7 + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 16*w**2 + 16*w**2)*(0 + 1 - 2).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1213459 - 4?\nAnswer: 1213455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1 + 5 + -9. Let m be (-18)\/(-4)*y\/(-9). Suppose -m = -3*r + 27. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.22463l to millilitres.\nAnswer: 1224.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -34. Let n(h) be the second derivative of 0 + 3*h - 1\/7*h**a + 4\/21*h**3 - 1\/7*h**4 - 1\/105*h**6 + 2\/35*h**5. Let n(g) = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 824821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/556, 1, 5, -1\/6 in increasing order.\nAnswer: -1\/6, 1\/556, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 35 (b) 0.4 (c) -14 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0)**(-12\/13)*(q*((q**(-2\/5)\/q)\/q*q)\/q)**(13\/5))**(20\/7))**(-8) assuming q is positive.\nAnswer: q**(416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*o - 200 = -75*o. Solve 4*i = -5*p + 29, -p + o = 5*i + 3*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j, y - 3*j + 10 = j. Let x(g) be the first derivative of -2*g**2 - 14*g + 12. Calculate the remainder when x(-5) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/((-1)\/15). Let o be 0 - 0 - 3*10\/(-15). Which is the second smallest value? (a) o (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + i - 372 = 3*i, -160 = -2*k - 2*i. Let y = k + -71. Suppose -3*s + y*s - 34 = 0. What is the remainder when 65 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15313, -2 in decreasing order.\nAnswer: -2, -5, -15313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11139 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (12 + 5 + -25 + 0 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*h - 55 = 0, -4*o - h + 6*h = -46. Let s(w) = 1 + w - o*w + 2. Does 20 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*j - 4*i, 5*j - 3*i + 23 = -5*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 81239172 to the power of 1\/2, to the nearest integer?\nAnswer: 9013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -434 + 456. Let p(g) = -g**3 - g - 137. Let k be p(0). Let z = t - k. What are the prime factors of z?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-12))\/((-7)\/42). Let b be 4*o*(91\/(-14) - -5). Calculate the highest common divisor of b and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -226013540 + 3?\nAnswer: -226013534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87, 88, 89, 90, 91, 92?\n\"Answer: r + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (-9 - (-9 - 5))) + (-6 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9415 - -9577 - 75\/1.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y + 4. Suppose -4*m - y*b = -16, 4*b - 1 = 15. Let q = 8 - 3. What is the greatest common factor of m and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 265.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.40851 and 717716?\nAnswer: 717717.40851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 60?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 368757.\nAnswer: 2\/122919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**6\/40 - g**4\/24 + 10*g**3\/3 + 5*g. Let v(j) be the second derivative of b(j). Give v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 3*d - 116*d.\nAnswer: -112*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -153882.93 to the nearest 10.\nAnswer: -153880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (380\/(-1425))\/(1\/(-5))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - -1443?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from ykkyykkyykyyj?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.05 (b) 5 (c) 2\/9 (d) -48 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28911)\/8234 + (-60)\/(-5370).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.46 - -0.2. Let r = 0.04 - a. Let v = r + 2.7. What is the closest to -0.1 in 0.1, 0.3, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kktk when four letters picked without replacement from {k: 3, t: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32035825.\nAnswer: 5, 1281433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4854*q**2 - 25110*q**2 + 93*q - 190*q + 97*q.\nAnswer: -20256*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15*y. Let n(j) = j + 243 - 243. Give n(b(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/12*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-23 + -1))\/(-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 - 9759*l\/2 + 3595500.\nAnswer: 3*(l - 2125)*(l - 1128)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23623, 23195, 22771, 22351, 21935, 21523?\n\"Answer: 2*m**2 - 434*m + 24055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsvs when four letters picked without replacement from {v: 13, s: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by (-6)\/(-39) + 4 + 876\/52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4, 64*b + 42 = 66*b + 2*p. Solve 10 = -7*h - b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-25))\/(72\/(-60)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -13. Suppose 101 = 5*u - 129. Let h = u + -89\/2. Which is the second biggest value? (a) 3 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**2 - 4*p - 4. Let g be y(-2). Let f = -55 + 108. What is the remainder when f is divided by (g\/10)\/((-1)\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -479 - -1546. What are the prime factors of g?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/(15\/30) - -8. Let i be (-1 - -7) + -1*(w + -4). Find the third derivative of 23*d**2 - 10*d**2 + 11*d**i - 11*d**3 - 29*d**5 wrt d.\nAnswer: -1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009602 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425192 is divided by 18803.\nAnswer: 11526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = -28*p - 160 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and 24833.\nAnswer: 39732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01814303561 to five decimal places.\nAnswer: 0.01814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*j - 21*j = -188328. Suppose 5*q - 81 + 16 = 0. Calculate the remainder when j is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785550907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:41 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 2, h: 2}. What is prob of picking 1 h and 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 9*h**2 - 7*h - 11. Let w be j(8). Let n = -3 - w. Which is the nearest to n? (a) 2 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 < 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*s - 4193435*a**3 - 3*a**2*s + 2*a**2 + 2009*a*s + 2*s + 6 wrt a.\nAnswer: -6*s - 25160610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/10*-1*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22643, -22088, -21533?\n\"Answer: 555*p - 23198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63865 by -5.\nAnswer: 12773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 3 (c) -9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 - 15545?\nAnswer: -15665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -67584.\nAnswer: 1\/16896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 77742908?\nAnswer: 932914896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 70, 116, 162, 208?\n\"Answer: 46*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 7*g - 1. Determine t(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 13775156.\nAnswer: 13775150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b - 1\/360*b**5 - 2*b**2 + 1\/1080*b**6 + 0 - 1\/36*b**4 - 1\/2*b**3. Let q(p) be the first derivative of g(p). Factor q(d).\nAnswer: (d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:59 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3146506 divided by 2\nAnswer: -1573253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 114 = -3*f, 24*f + 2*o = 20*f - 152. Which is smaller: -191\/5 or f?\nAnswer: -191\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175771540 rounded to the nearest ten thousand?\nAnswer: 175770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/c**(4\/9)))\/(c**(4\/17)*c)*(c*c**(-8))\/c**(3\/7) assuming c is positive.\nAnswer: c**(-10945\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*m + 8, -2*u + 0 = -2*m + 4. Let d(c) = -23*c + 42. Let t be d(0). Suppose 6*n + 0*n - t = m. Calculate the greatest common factor of 35 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340 divided by 6?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/24 + j**5\/60 + j**4\/24 - 8*j**2. Let r be c(-1). Solve 5*v - 5 = -5*o, -v + r*o = -5*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 4. Let y = n + 60. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4851398, 4851394, 4851390, 4851386, 4851382, 4851378?\nAnswer: 4851374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26003673 to the nearest integer?\nAnswer: 5099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2402 = -10*u + 638. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Let -2*j**k + 2*j**4 + 3*j**5 + j**5 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8 - (0 + -1 - -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 84 + -119 + -69 + 81\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -40. Suppose -h*s + 12 = -4*s. Solve -s*g + 12 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -0.1. Let i = 560 + -559. Which is the closest to 0.1? (a) v (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 + 3*p - 79. Calculate c(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/3 (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.15, -554, 0.1, 2\/5 in descending order.\nAnswer: 2\/5, 0.15, 0.1, -0.2, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*c - 18, 31*k - 3*c - 35 = 30*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -63.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - k - k = 12, 3*k = -h - 4. Solve -3*l - 1 = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(931) - sqrt(931)) + -3 + 5)**2*3.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/(-45)*-3*1. Suppose -a*c + 344 = -31. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v - 1. Let p be u(-1). Suppose 0 = 5*c - p*c - 15. Put c, -3, -5 in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 37. Let b(u) = -u**3 - 2*u**2 - 2*u - 1. What is the remainder when 7 is divided by b(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.3*0.06.\nAnswer: 0.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 12:14 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -79502.89112 to zero decimal places.\nAnswer: -79503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 17*z + 64. Let b be t(-5). Solve 0 = b*x - 3*u + 12, x - 20 = 4*x - 5*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 23 - 9) + (3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a - 4. Calculate g(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let n = 1 - -1. Let y(s) = -1 + 4 + 4*s**n - 3. What is m(y(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2\/((-2)\/(-1)). Let u(a) = -4*a + 6. Let n be u(5). Does 5 divide (n\/y)\/1*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/(-2976)*-44*29\/(-2233)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/((n*n**2\/n)\/n))))**6)**(-5\/9)*(((n**1*n*n)\/n*n)\/n*n)**(-15)\/(n**(1\/2))**(4\/15) assuming n is positive.\nAnswer: n**(-677\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -30*h**2 - h - 1. Let u be w(-1). Let x be 261*(-5)\/(u\/4). What is the lowest common multiple of 4\/(-6) - x\/(-18) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-4)\/20*(-520)\/624.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 12:06 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - m + 1. Let r be f(1). Suppose r*i + a + 3*a - 4 = 0, 0 = -5*i - 4*a + 16. What is the units digit of i\/10 - (-32)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 + (-2 - (-3 - (-4 + 0))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0963682 - 10.\nAnswer: -10.0963682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63.75 + 11.55. Let o = -86.8 + 16.8. Let b = x + o. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/3? (a) 1 (b) -2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10*x**2 - 148*x - 862. Calculate u(-8).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5950 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -349, 5, 2, -1, 3 in decreasing order.\nAnswer: 5, 3, 2, -1, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 8:17 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82765 is divided by 441?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i - 141. Let a be l(41). Let z = a - -497. What is the remainder when 68 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/6 - 116943*g**2\/2 + 1169405*g\/2 - 8770475\/6 = 0. What is g?\nAnswer: 5, 350819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22370, 22358, 22346, 22334, 22322?\nAnswer: 22310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 564 = 142. Let o(b) = -64*b**3 + b**2 + 4*b + 4. Let a be o(-1). Suppose 4*u = q + a. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhkkh. What is prob of picking 2 k and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (-14 - -21)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b = -9. Suppose -3*j + 98 = 5*i, 5*j + 0*i = 4*i + 151. Let u(h) = -2*h + 54. Let o be u(j). Is o at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6131393?\nAnswer: 6131393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 9*v - 5*v - 18*v**2 + 8*v**2 to the form s + l*v**2 + h*v and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 6*a**2 - 4*a - 1. Calculate the lowest common multiple of o(7) and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (10 + -15)) + -5 + 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 - 11)*(0 + 0 - b + 0 + 2*b + 0 + (-4*b + 7*b - b)*(-1 - 4 + 6)) in the form q*b + a and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -c - 2*l, 0*c - 2*l = -4*c + 676. Suppose 4*w + d + 442 = 0, 0 = 2*w - 5*w - 5*d - 340. Let h = w + c. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*t + 720 = 295*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*c + 23 + 68*c - 120*c - 25 + 79 to the form f*c + g and give g.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*h*p**2*x**2 - 211*h*x**2 - 499*p**2*x**3 + 211*p*x**3 - 2*p wrt p.\nAnswer: 442*h*x**2 - 998*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, -6, -5, 2 in descending order.\nAnswer: 21, 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 623977823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3117 divided by -20.\nAnswer: 3117\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((-3 + (sqrt(180) + 2 - sqrt(5)))*5)**2.\nAnswer: -31500 + 2500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9))**3\/(t\/(t*t*t**(8\/3)*t))**1)**(-7) assuming t is positive.\nAnswer: t**(469\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 71\/21856069?\nAnswer: 71\/21856069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 395758192*s - 9789034158444304.\nAnswer: -4*(s - 49469774)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/40)\/(9\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 5*c + 3. Determine d(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose -3*l + n*l - 221 = -2*o, -o - 2*l + 123 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185740*p - 18202*p - 26449*p.\nAnswer: -230391*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -14*c**3 + 366*c**2 + 408*c - 760 = 0.\nAnswer: -2, 1, 190\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -7)*(-5)\/(-2). What is the greatest common factor of s and 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122755.43 rounded to the nearest ten?\nAnswer: 122760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*s - 21. Solve n - 2 = 0, s*c - 3 + 14 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 618 + 635.\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.025 + -89.975. Let k = 10001759 + -10001849.00117. Let j = k - n. What is j rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 13. Let h be c(1). Solve -z + 5*q = 0, -3*z + 0*z + h*q - 11 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9940885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 311*k + 13. Let o(y) = 2*y**2 - 310*y + 17. Give -4*m(t) + 3*o(t).\nAnswer: 2*t**2 + 314*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, v: 11}. What is prob of sequence yw?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**7\/840 + q**6\/120 - q**4\/6 - 2*q. Let k(y) be the third derivative of c(y). Factor k(t).\nAnswer: -3*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2227 - 0.2773. What is the closest to 1 in -0.06, 0.1, l, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 7. What is the units digit of a\/(-30) + 116\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 1 + 2 - 5. Let i(t) = t. Let g(d) = -d + 4. Let l be g(3). Suppose j + 2*a = 4, 2*a = 3*j - 3 - 1. Give j*i(h) + l*b(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 125237069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 18*y + 6. Let x be m(-19). What is the third derivative of 13*b**2 - 26*b**2 + 5*b**5 - 8*b**2 + x*b**5 wrt b?\nAnswer: 1800*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -1 + 2 + -2 - -1. Suppose -p*y = 6*y - 30. Solve y*x - 2 = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*w + 1 = 2*f, 0 = -4*w + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:41 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 19 = -m, -6*t + 3*m + 271546 = 271564 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51607 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 - 109. Let x be (-6)\/(-12) + 2 + 2\/o. Suppose 4*b = 2*f + 1014, -x*b + 4*f = b - 758. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let r(w) = -2*w + 3. Let o(z) = 138*z**2 + 690*z - 1035. Let a(h) = 2*o(h) + 690*r(h). Give i(a(g)).\nAnswer: -552*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -24?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 204, 488, 876?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 2. Let t(p) = -8*p - 3. Let n(a) = 7*c(a) + 4*t(a). Determine n(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 779?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27690 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -1) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29815*n**2 - 60*n + 155*n + 505*n**2 - 95*n.\nAnswer: -29310*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6314? (a) 0.5 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -44, 5, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 + 25 = 0. Let f = -1780 + 1756. Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 32 - 288 = 3*a, -2*a - 204 = -4*q. Let s = 72 - q. Let d = s + -11. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -263852*y - 264292?\nAnswer: -263852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v + 2. Suppose 184 = -49*q + 233. Let w(s) = -s. Determine q*p(l) + 2*w(l).\nAnswer: 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.04390026 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12889 is divided by 534?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**6 + 102*j**5 - 2310*j**2.\nAnswer: -480*j**3 + 6120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 + 18*o**2 - 33*o + 18 = 0 for o.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -942a (base 12) to base 3.\nAnswer: -211011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 6*n - 9. Let q be p(-7). Let a(y) = -5*y**3 - 2*y**2 + y. What are the prime factors of a(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*m**3 - 1530*m**2 + 2*m - 1052523 wrt m?\nAnswer: -78*m**2 - 3060*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -271\/39, -1, 8?\nAnswer: -271\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 1. Let l(s) = -6. Let f(g) = 6 - 23*g**3 + 4*g**2 - 2*g + 24*g**3 - 4*g**2. Let x be f(0). What is x*v(m) - l(m)?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-8) - 5\/(-20). Let g(i) = 3*i**2 - d*i**2 + 3*i**2. Let a(z) = z**2 + z - 1. Let q(l) = 2*l - 2. Let f(t) = -2*a(t) + q(t). Calculate f(g(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + x + (-5*x + x + 2*x)*(2 - 3 + 2))*(-7*x**2 + 2*x**2 - 3*x**2)*(0*x**2 - x**2 + 6*x**2).\nAnswer: 120*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 35 = 64. Let i(j) = -3*j + 16. Determine i(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:33 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -4.1. Let r = 5.8 - z. Let u = -3.1 + r. Which is the second smallest value? (a) 1\/7 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5556351 rounded to two dps?\nAnswer: -13.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11346 (base 11) in base 16?\nAnswer: -4001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 101001001111000?\nAnswer: -101001001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*m + 29, 5*o - 109 = -0*o - 3*m. Let t = o - 11. Let f be (1\/9)\/(3\/t). Which is bigger: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66bf (base 16) in base 15?\nAnswer: -7bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z. Let b be t(-3). Let y be (b\/(-9) + -2)*-15. Let h(n) = -n**2 - 6*n + 8. List the prime factors of h(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12168 - 1046487\/86. Let y = l + -2\/43. Which is bigger: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 - 1500*u**4 + 133740*u**3 + 1285740*u**2 + 3939840*u + 3981312 = 0 for u.\nAnswer: -3, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from fpjwpfx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 820, 555, 296, 43, -204, -445, -680?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m\/(m*m*m**6*m*m))\/(m\/((m\/(m*m**(-2)))\/m)))\/(m**8\/(m*((m*m*m*m**(1\/6))\/m)\/m)))**4)**(-3\/4) assuming m is positive.\nAnswer: m**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 3 + 3)*(-3*i + 5*i + i) - 43033*i + 43033*i - 21 - 95*i**4 + i**4 - 3*i**4 - 3*i**2 + 2*i**2.\nAnswer: -94*i**4 - i**2 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16572 divided by -4.\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-50)\/(t*(t\/(t\/t**3))\/t*t*t**(-4)*t)*((t**(-1))**(7\/3))**(11\/4) assuming t is positive.\nAnswer: t**(511\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by -7 + 173 - (-6 + 4).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -900*c**3 + 20940*c**2 - 110656*c - 132496.\nAnswer: -4*(c + 1)*(15*c - 182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 - 5*y - 2. Let s(w) = 9*w**2 - 9*w - 5. Suppose -172*d - 834 = -33*d. Determine d*s(g) + 11*j(g).\nAnswer: g**2 - g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u - 3 = 35*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 2989?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 8721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -259 + 264. Calculate the highest common divisor of 255 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 64.4\nAnswer: 64.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-7) + 8\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 470 + -1?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720571 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863095 is divided by 98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2156 + -356. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 7*q + 6. Let u be ((-3)\/(-6) - 1)\/(3\/36). Determine c(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173 - 2215 - 192\/(-5)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41120 (base 5) to base 12.\nAnswer: -1658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14 (b) -4\/3 (c) 2 (d) 1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5950224673 to the power of 1\/2, to the nearest integer?\nAnswer: 77138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjkbjcysbcykskc. What is prob of sequence ck?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(468) + (sqrt(468) - (sqrt(468) + (sqrt(468) - (sqrt(468) - (sqrt(468) - sqrt(468)*3)*-1) - sqrt(468)))**2) + sqrt(468))*4.\nAnswer: -7492 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5)\/n*n*n**7\/n)\/(n**(1\/2))**(-1) assuming n is positive.\nAnswer: n**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -18*t - 45. Calculate the least common multiple of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)*(0 + -1). Suppose n - 4 + 2 = 0. Suppose -n*y - 2*i = 8, f = -y - 2*y + i + 4. Which is smaller: y or 1\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2323 = -8*l - 403. Is l a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 - (203\/3)\/(-7). Suppose 0 = -15*l + t*l + 504. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1366*l. Let f(s) = -751*s. What is u(f(z))?\nAnswer: 1025866*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2143\/11 - -195. Factor -4\/11*w**3 + 2\/11 + 4\/11*w - l*w**4 + 0*w**2.\nAnswer: -2*(w - 1)*(w + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 22484*m + 2698078. What is h(-120)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Let f = 14.17 + -0.17. Let k = f + -13.8. Put k, 1, l in ascending order.\nAnswer: l, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228) - (sqrt(228) + (sqrt(228)*2 + sqrt(228) - sqrt(228) - sqrt(228) - sqrt(228)))))\/(sqrt(192)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 19*l + 1\/2*l**2 = 0. Calculate l.\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 453*m**3 + 318*m**2 wrt m.\nAnswer: 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 13*m**2 + 12*m - 13. Does 54 divide p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*w**2 - 5*w + 5*w + 143*w**2 to the form n*w**2 + j + k*w and give n.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnrrr. Give prob of picking 1 r and 1 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.6, 7, 4\/3, -2, -2\/55 in ascending order.\nAnswer: -2, -2\/55, 0.1, 0.6, 4\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 838 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 42340224?\nAnswer: 42340220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -436 (base 11) to base 16.\nAnswer: -20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57, -73, -113, -189, -313, -497, -753, -1093?\n\"Answer: -2*h**3 - 2*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1251760736 and 608?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 7) to base 13\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 10. Let m be 4\/6 - (-124)\/3. Suppose -c*z - 4 + m = -4*p, -4*z + 3*p + 46 = 0. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkwy when four letters picked without replacement from {y: 6, w: 3, g: 3, k: 1}.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20782*(1 + -4 + 77\/22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 147593292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13650986 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96210130 a multiple of 2051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f**2 + f**3 + 0*f**2 - 2 - 33*f**2 + (0*f**2 + 0*f**2 + 2*f**2)*(f - 1 + 1).\nAnswer: 3*f**3 - 47*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 - -268367707.6.\nAnswer: 268367707.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 3*j**2 + j**2)*(-7 - 17 - 23 + 13).\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwwbbbpwbb. Give prob of sequence bpp.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 123. Let p = m + -22. Find the first derivative of p + 15*f + 7 - 5 - f wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -434\/9. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u + 2*v, 1 = -4*u + 3*v + 36. Find the second derivative of -4*f**u + 0*f + 3*f**5 - 2*f**5 + f wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - o - o**3 - 21 + 27*o**4 + 3 + 15 to b + a*o**2 + c*o**4 + z*o + i*o**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17648897, 35297791, 52946685?\nAnswer: 70595579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -650619*r**4 + r**3 - 32167027*r**2 wrt r?\nAnswer: -15614856*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22020242 + -10001?\nAnswer: 22010241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 39\/12*4. Suppose 3*s = 2*j + c, -12 = -3*s + 2*j + j. Suppose -f + 0*m = 5*m - 14, -s*f = 3*m - 22. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4, 0*k + 2*k + 5*d + 18 = 0. Suppose 8*b + 3*u = 3*b - k, -2*b - 5*u - 8 = 0. What are the prime factors of b + -5 + (0 - -39)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/477 and 115\/160272.\nAnswer: 160272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -29 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*c - 230*c + 3424 + 406 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 - 20*q**3 + 34*q**3 - 18*q**3 + 2 in the form r*q**2 + o*q + c*q**3 + k and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v - 5 = 62*v. Suppose -8 = -v*t + 4*p - p, 0 = -2*t + 3*p + 5. Is t at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(11) + sqrt(11)*2 + 5.\nAnswer: -10*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82.9932 + -83. What is s rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14520 (base 6) to base 3.\nAnswer: -10020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + x**2 + 5*x**4 - 329*x + 1 + x**3 + 329*x to the form r*x**4 + l*x**3 + c*x**2 + f*x + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -63 (b) 5 (c) 214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -198b01?\nAnswer: -198b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - l. Let j(f) = 16*f**2 - 3*f - 1. Let k(g) = j(g) - 4*w(g). List the prime factors of k(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -654 + 1123. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 117, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 21\/(-18))\/(19\/(3 + -516))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 351. Suppose v - 949 = -7*n. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/((sqrt(160)\/sqrt(4))\/sqrt(10)))**2*3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 339.9158 millennia?\nAnswer: 339915.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 895, -3, -399, 1, 3, -5 in decreasing order.\nAnswer: 895, 9, 3, 1, -3, -5, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -73.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c**2 - 10*c**2 + 187 - 321 - 9*c**2 - 193 to g + h*c**2 + w*c and give g.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = 11*b - 108. Solve 0*r + 4*r = b*v + 16, -4*v + 2*r - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 4296*g**3 + 50976*g**2.\nAnswer: 4*g**2*(g - 1062)*(g - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101767427 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 68, 55, 22, -37, -128, -257?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103 (base 5) to base 3.\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 654, 656, 660, 666?\n\"Answer: m**2 - m + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156585 is divided by 510.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -48*z - 27. Let u(k) = 12 - 2 - 6 - 43*k + 50*k. Let i(h) = -27*u(h) - 4*y(h). Let a(j) = 3*j**2 + 69*j. Determine a(i(x)).\nAnswer: 27*x**2 + 207*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 - 4*p - 3. Let s(q) = -12*q - 8. Let a(n) = 10*n + 7. Let m(u) = 4*a(u) + 3*s(u). What is the least common multiple of m(6) and x(6)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1127057166 divided by -9\nAnswer: -125228574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13*u = 140. What is the remainder when u is divided by 0\/4 + -3 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1016388\/5 + 204007. Which is bigger: d or 729?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20023 is divided by 18416?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*y - 9, 0 = -3*x + 2*y - 9 + 3. Suppose -o - 2*o + 172 = 5*z, 4*z + 5*o - 135 = x. What is the units digit of (-188)\/(-5) - 21\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 plus -0.0303?\nAnswer: -0.1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 2. Let b(u) = -u - 2. Let t(l) = 4*b(l) + 3*g(l). Let d(o) = o. Give 4*d(q) + t(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.924605 grams in micrograms?\nAnswer: 924605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02708533296 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 16404010 to the nearest ten thousand.\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1845, -7391, -16677, -29739, -46613, -67335, -91941?\n\"Answer: -6*v**3 - 1834*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 56 = 53. Suppose -q*r + 5*t = 44, 5*r + 3*t = -0*t - 28. List the prime factors of r\/((-1 - 3) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (50634\/(-2970) - -17)*(-6)\/8. What is the smallest value in 2, 0.7, j, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -25*z**2 + z + 10. Let j(l) = 8*l**2 - 3. Let r = 6 - 4. Let v(x) = r*g(x) + 7*j(x). What is the remainder when 36 is divided by v(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, e: 3, o: 5}. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32145*z**3 + 9372*z - 1 wrt z.\nAnswer: -192870*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 7. Let f be j(8). Suppose 2*r - f = -w, 0*r = r - 3. Differentiate 1 - 1 + 1 - 7*m**w with respect to m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeileiieei. What is prob of sequence iiie?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (2 + (2 - 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p - 1. Calculate the remainder when u(-1) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48853662*s**5 - 109954791*s.\nAnswer: -977073240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 59.6 (c) 232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 8*z - 7*z + 35*z - 7*z + 894*z**2 as j*z**2 + a + i*z and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.7 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 + -132. Suppose c + s = 111, -b*s - 107 = -c - 7*s. What is the remainder when c is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -201*y**3 - 2*y - 2. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.16. Let k = -0.04 + q. Let g = 2.979 + 0.021. Which is the third smallest value? (a) k (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -142. Suppose -n = q + 5*o, -5 + 1 = 4*o. Let d(y) = -y**3 - 5*y**2 - 3*y + 4. Let z be d(-3). Put -27, 4, z, q in decreasing order.\nAnswer: 4, q, z, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 10:30 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o. Let j(i) = -2*i**2. Give j(x(c)).\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbnt when four letters picked without replacement from twtttnwnwtvb.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 = -19. Let i = -6 + b. Which is bigger: i or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 15 - (-36)\/(-12)*2. Factor r + 68\/7*h + 4\/7*h**2.\nAnswer: 4*h*(h + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*f + 45 = -59*f. Let v(u) be the second derivative of 6*u**2 + 0 - 5\/6*u**f + 13*u. What is the first derivative of v(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from eeeeeeheeeehehee.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690528, -1381122, -2071718, -2762316, -3452916?\nAnswer: -4143518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/14241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3 + 5*o - 5*o + 2 + o. Let s be t(-8). Put -0.5, -1, s in decreasing order.\nAnswer: -0.5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133.9 - 134. Which is smaller: c or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-51)\/(-3) - 5 - 9. Solve 0 = z + n - 1, -5*z + 7*n = f*n + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-15) - -3)\/(8\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 9*r - 6. Let p be 4 + -2 + 2 - 10. Let i be p\/(-8) - (-108)\/(-16). What is the remainder when 21 is divided by l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:22 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 0\/(-1) - 315\/378. Let m = -0.36 + -3.64. Which is the third smallest value? (a) m (b) t (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 + 2.7. What is the nearest to n in -5, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 67*m**3 + 2*m**2 + m. Let n be u(-1). Suppose 0 = 4*j + 3*s + 220, -19*j + 12*j + 2*s - 501 = 0. Is n at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 2:31 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n. Let m(g) = 5*g**2 + 4. Give m(i(y)).\nAnswer: 845*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 12:53 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12, -y + 21 = -3*p + 2*y. Let w = -6 - p. Is -2 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -1 - (17 + -12). Let g(h) = 2 - 7 + 1 - 10*h - 2*h**2 + 9*h. What is g(m)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -309 + 553. Suppose -x - 491 = -7*m. List the prime factors of m.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 1 - 39. Calculate the greatest common divisor of 304 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 + 2 = 0. Let u(x) = -x + 16. Let o be u(0). Let g = 20 - o. Solve -g = -2*r + 4, -8 = k - z*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623f (base 16) in base 14?\nAnswer: 25099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, m: 2, j: 7}. Give prob of picking 1 j and 1 m.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -9 - (4 - 4)) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) - 83\/(-3). Suppose h = -3*d + 23 + u, 4*h = -4*d + 68. Let o(w) = 31*w**2 + 1. Calculate the remainder when o(1) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 6.4, -3\/4, -8, 3?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 36 + 42 - 63 - 4*u.\nAnswer: 5*u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047951929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 1980*u**3 - 8028*u**2 + 21980*u - 11976.\nAnswer: 4*(u - 499)*(u - 1)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let c(h) = 2*h - 17. Calculate c(s(y)).\nAnswer: -2*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/823252 and 99\/1880.\nAnswer: 8232520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1275 + 1278. Solve 0 = -2*c + 2*v - 16 + 4, -i = -2*c - v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 + 269 = 39*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29543766*a**3 - 262907120*a**2 - 655271936*a\/3 - 143233024\/3 = 0 for a.\nAnswer: -8, -2992\/6657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3506, 7102, 10724, 14384, 18094, 21866, 25712?\n\"Answer: 2*d**3 + d**2 + 3579*d - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(36\/(-108) - (-10)\/12). Let t(j) = -8*j**3 - 3*j**2 + 2*j - 3. Let o(y) = -15*y**3 - 5*y**2 + 4*y - 5. Give d*o(m) + 5*t(m).\nAnswer: 5*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 810*u**2 - 235*u**2 + 1063*u**2 + 805*u**2 - 37*u**2. Let r(q) = -4*q. Calculate d(r(l)).\nAnswer: 38496*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1101101010?\nAnswer: 1101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 2*b**2 - b. Let v be f(-2). Let s = 12 - v. Let k(p) = 2*p**2 + 0*p**2 - 3*p**2 + 0*p**s. Let j(o) = -3*o**2. Give j(k(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -186*n**2 - 17*n. Let y(s) = -31*s**2 - 3*s. Let x(r) = -6*v(r) + 34*y(r). List the prime factors of x(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152159247, 152159248, 152159249, 152159250, 152159251?\nAnswer: 152159252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304.8 - 304.8. Which is the nearest to 0.05? (a) 1\/6 (b) o (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*m - 280 = 0, -u + 56 = 2*m - 3*m. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513336 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1837, 0.3, -107?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*y = -111*y. Let p = 8 - 6. Let q = 69 - 66. Solve y = 5*f - q*k + 1, p*k = -5*f + 6*k + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162137363*n**3 + 107696942*n**2 wrt n?\nAnswer: 972824178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 257. Let o(p) = 4*p - 509. Determine 3*o(t) + 5*z(t).\nAnswer: -3*t - 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/13 - 4266*l\/13 - 18765740\/13.\nAnswer: 2*(l - 4310)*(l + 2177)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r\/(r\/r**(-32)))\/r)**35\/(r\/(r\/((r\/(r*r**(-14\/11)*r*r*r))\/r))*r**(1\/19)*r) assuming r is positive.\nAnswer: r**(-226415\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*d + 6*d. Let v(i) = -i**3 - 30*i**2 - 39*i - 185. Let h be v(-29). What is the greatest common divisor of h and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -8729?\nAnswer: 8730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6390 and 25116?\nAnswer: 26748540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(b**4 - b**4 - 2*b**4) - b**4 + 2*b - 2*b + 2418*b**3 - 2416*b**3 + 21 - 1549*b**4 + 1548*b**4 + 6*b**2.\nAnswer: -4*b**4 + 2*b**3 + 6*b**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478506563 to the power of 1\/3, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 500186 and 46696.\nAnswer: 26009672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwwk. Give prob of picking 1 k and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o - 4. Suppose 0 = -5*p - 25, 2*p - 25 = -5*b + 7*p. Let t be u(b). Let w(x) = x**2 + 5*x + 6. What is w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 21. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {z: 2, g: 3, w: 8, m: 1, b: 1, n: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-12*a + 9*a + 7*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 144? (a) 6 (b) -0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2108 and (-13257)\/(-39) - (-76)\/988.\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 6*v + 5. What is the common denominator of 1\/11 and (-14)\/35 + 49\/v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-9 - (3 + -9 + 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -1049, -1584, -2153, -2768, -3441, -4184?\nAnswer: -5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 33. Suppose -4*l + h = -57. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k + 75. Suppose 21*z = -37 - 89. Let v be m(z). Solve -l = 0, v*x - l = -5*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 1\/4, 0.5, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44458 less than -94775075?\nAnswer: -94730617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1203892756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86143*d*w**5 - 1008*d*w + 2*w**5 - 92*w wrt w.\nAnswer: 1722860*d*w**3 + 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58\/3, -4, 0.004, -7 in decreasing order.\nAnswer: 58\/3, 0.004, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 36. Determine p(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 n when four letters picked without replacement from {b: 4, n: 2, x: 2, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8620214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87766 and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3168, 5522, 9438, 14910, 21932, 30498, 40602?\nAnswer: 52238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*n - 3 + 6, -5*j - 2*n + 8 = 0. Let t(v) = v**2 - 3*v + 2. What is t(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 3446\nAnswer: 2\/1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -335*d*m**3 + 14*m**3 - 12*m wrt d?\nAnswer: -335*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c + 24. Is c bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04269684049 rounded to 6 dps?\nAnswer: -0.042697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 - -1429\/11. Let o = -18 + 200\/11. Let l = 302701 + -302699. Which is the closest to -1\/4? (a) l (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45201155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.704 + -3.34. Let t = h + -0.424. Let x be 1\/(0 - 1)*5. Which is the third biggest value? (a) t (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -f - 5*b, -4*f - 7*b = -3*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 11 - 5 + 62*m**3 + 93*m**3.\nAnswer: 155*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let k be w(2). Suppose 4*j + 5 + 3 = 4*v, -4*v + 3 = -k*j. Let o(n) = -2*n + 6. What is the remainder when 29 is divided by o(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*j**3 - 8*j**3 + 9*j**3)*(2*j + 3 - 3) + (4*j**2 + 0*j**2 - 2*j**2)*(j - j + 2*j**2).\nAnswer: 86*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -623034?\nAnswer: 1869102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/((s\/s**(-1\/11))\/s*s))**7 assuming s is positive.\nAnswer: s**(-329\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 9. Let q be k(-4). Suppose l = -3*r + q, 2*l = 2*r + 9 + 5. Suppose -p + 765 = 4*x, l*p = p + 5. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/10*-4)\/((-84)\/280)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.2215\nAnswer: -0.0443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -37*w**3 - 3*w**2 - 3*w - 1. Calculate the remainder when 106 is divided by l(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*n**2*q - 5*n**2 - 35*n*q + 1320*n - 2350258*q wrt n.\nAnswer: 46*n*q - 10*n - 35*q + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 923\/5 - 10\/(-25). Suppose -4*f = d - 125, 4*d - x + 45 = -4*f. Let c = f + 3. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 188614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + n**4 - 2*n**5 + n**5 - 10*n**3 + 10*n**3 + (3 - 3 + 1)*(2*n**5 - 1 + 1).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from iglrgllijggglld?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1778, -3570, -5362, -7154?\n\"Answer: -1792*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 30. Let w be b(7). Solve 0 = -w*s, -p - s = -4*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156 - -172. Suppose r = -4*v + v + 2*g, 0 = g - 5. Let n = -11 + 11.03. Which is the nearest to 2? (a) n (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7220 is divided by 909.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164887290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s**3 - 7232*s**2 + 7232*s**2 - s**3.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 17*a**2 - 53*a + 17. Calculate d(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1993806 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.1 + 16. What is the nearest to -0.3 in s, 2\/3, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -5)*(-56)\/8. Let v be (2 - (-46)\/y)*-2. Let s be (-10)\/16*390\/975. Is s at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 7*m + 6. Suppose -3*a = -m*z + 162, -4*z - 5*a + 101 = -70. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(168)*-1)\/sqrt(8))\/(sqrt(192) + sqrt(192) + 1*sqrt(192) - sqrt(192)) - (sqrt(56)\/(sqrt(8)*-1) - sqrt(252)*-6)**2) + 1.\nAnswer: -8571 - sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 15*w - 17. Let h be k(14). Sort h, 0, 2 in increasing order.\nAnswer: h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4012.72 * -0.5\nAnswer: -2006.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkhkhhhkdhhh. What is prob of sequence hh?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 less than -1089831?\nAnswer: -1089861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = -0. Let p = 25 + -24. What is the closest to -0.1 in 4, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.13, -7\/5 in decreasing order.\nAnswer: 2\/9, 0.13, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/(-6) - 1\/(-3). Let v = 9.33 + -9.63. What is the third smallest value in n, -6\/5, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3604722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose 0 = -u*s + 7*s + 20. Suppose -q = -3*q - 6. Put q, 0.2, s in ascending order.\nAnswer: s, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-6)\/40)\/((-297)\/88)*-3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-1)\/4) - 22476\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7\/5)\/(w\/(w**(-5)*w)*w))**(11\/7) assuming w is positive.\nAnswer: w**(-407\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32001 (base 4) to base 9\nAnswer: -1206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s*t**6 + 4*s*t**3 - s*t**2 - 13*t**6 - t**2 - 160*t wrt t?\nAnswer: 120*s*t**3 + 24*s - 1560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1.72?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 4}. What is prob of picking 2 q and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 451 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35244 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2063 and 25451199.\nAnswer: 25449136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4364199 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5194 * 3\nAnswer: 15582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 24, 4, 32.35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j + 73. Let a = -158 + 152. Let l be n(a). What is the greatest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62647721, 5, -1 in descending order.\nAnswer: 62647721, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 36424535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6018\/5 + -1347. Which is greater: o or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:16 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - 2*d**3 + 0*d**2)*(0*d - d + 2*d) + 2*d**2 - 25 - 2*d**4 + 32*d**3 + 47 - 23.\nAnswer: -4*d**4 + 32*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 469 + 505. Let g(f) = -8*f**3 + 2*f**2 + 3*f. Let p be g(-2). Calculate the highest common factor of j and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*a - 68, 0 = -w - 64*a + 65*a + 34. Let v(k) = -3*k**2 + 101*k + 6. Calculate v(w).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -330, -332, -334, -336?\n\"Answer: -2*o - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043473102 to seven dps.\nAnswer: 0.0000435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/84 and -5\/9.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-12) + (-65306823)\/(-804). Let l = 81224 - k. Let u = l - -487\/1072. Calculate the common denominator of u and 23\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 29*x**3 + 3*x**2 - 11*x - 3. Let l(y) = -11*y**3 + y**2 + 26*y**3 - 16*y**3. Let c(f) = -4*l(f) + t(f). What is the second derivative of c(w) wrt w?\nAnswer: 198*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -24533, -1, -4, 2 in descending order.\nAnswer: 3, 2, -1, -2, -4, -24533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6044109 to the power of 1\/2, to the nearest integer?\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5908345790 rounded to the nearest 1000000?\nAnswer: -5908000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 - (-292)\/7. Let b(u) = -44*u - 2476. Let c be b(-62). Calculate the highest common divisor of d and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**3 + 61*z**2 + 36*z - 30. Calculate x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b - 14 + 43. What is the second smallest value in b, -35\/4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96026*p + 0*p**2 - 46*p**4 + 0*p**2 + 52*p**3 + 96028*p to g + m*p**2 + b*p**4 + w*p**3 + h*p and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73392, -69212, -65032, -60852, -56672?\n\"Answer: 4180*j - 77572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + f - 6*f = 0, -4 = -3*n - 2*f. Suppose n*g - 10452 = -8*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 333\/4, 210, 5 in increasing order.\nAnswer: 5, 333\/4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -33\/10*z**5 - 4 + 0*z**4 + 0*z**3 - 81\/2*z**2 - 2*z. Differentiate p(x) wrt x.\nAnswer: -198*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**2 - 2*p**2 + 0*p**2)*(-4 + 1 + 2)*(2*p - p + 0*p) to the form b*p + g*p**3 + h*p**2 + x and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-17)\/136)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let o be -2 + (2 - b) - -3. Suppose -143 = -o*l + 9. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401603401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -6*v + 160. Solve v = -4*j + f, -4*j + 3*f = -0*f + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*u**4 - 73*u**4 + 13*u**3 - 382*u**2 + 74*u**2 + 138*u**4 wrt u.\nAnswer: 216*u + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14005*c**2 + 761*c - 2505*c**2 - 761*c in the form n*c**2 + g*c + q and give n.\nAnswer: -16510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -5. Let b = l - -4. What is the first derivative of -3*i**2 - b*i**3 + i**2 + 2*i**2 - 3 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + b. Let f be o(1). Let a = 1\/2 + -9\/10. Put 0.5, a, f in decreasing order.\nAnswer: 0.5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qmmmmommommq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.2. Let d = -33 - -28. What is the second biggest value in g, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*sqrt(756))\/sqrt(12))\/(6*sqrt(144)) + (sqrt(42)\/(sqrt(486)*3) + -1)**2).\nAnswer: -3680\/729 + 85*sqrt(7)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69887564 to the nearest integer?\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 10:55 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1888*y**5 + 2 - 94*y**2 - 12 + 315*y**2 - 82*y**2 wrt y?\nAnswer: 113280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2 - 2 - 5 - r. Let b(k) = -2. Let g(m) = -6. Let j(l) = 7*b(l) - 2*g(l). Let q(z) = -10*j(z) + 2*v(z). Differentiate q(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36813 and 0.3?\nAnswer: 36812.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -8*j - 5 + 3*j**2 + 1\/3*j**3. Let s be m(-7). Which is the biggest value? (a) s (b) 4 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*d + b, -2*d = -4*d + 5*b + 15. Suppose d*o - 1456 = 2*n, 3*n = 4*o + o - 1454. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 + 6 = 0. Suppose k*f - 59 = 11. Find the third derivative of 2*y**2 - f*y**6 - 2*y**4 + 17*y**6 + 2*y**4 wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minus -1208509?\nAnswer: 1208548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/15 - 98*r**4\/5 - 13742*r**3\/15 - 64742*r**2\/5 + 236944*r\/15 + 27848 = 0.\nAnswer: -59, -30, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 + (19 - -96) + -195?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, 60, 5, -14.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o**2 - 80*o + 1. Let g(v) = 9*v**2 - 94*v + 1. What is 5*b(y) - 4*g(y)?\nAnswer: 14*y**2 - 24*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 13412302224?\nAnswer: 13412302232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 3*n**2 - 1. Let b(q) = -q**3 - 2*q**2 + 2. Let v(y) = -4*y - 1. Let u be v(-1). Let i = -226 + 228. What is i*o(h) + u*b(h)?\nAnswer: -h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1727339 + 2127*h - 1727339 to the form x*h + m and give x.\nAnswer: 2127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/120 + c**5\/20 - c**4\/12 + c**3\/6 + 9*c**2 + 4*c. Suppose 5*n = -38 + 183. Let i = n - 32. What is h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/19, 917\/17 in decreasing order.\nAnswer: 917\/17, 2\/3, 1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:43 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 567 = 353. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11081, 22179, 33281, 44393, 55521, 66671?\nAnswer: 77849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/19 (b) 47\/4 (c) 4 (d) -18 (e) 2\/5 (f) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = x - 3*o, 5*o + 16151405 = 2*x + 16151704 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 16771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:11 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304)\/(-10)*18\/48*340\/102.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52\/14 + 2\/7. Let y(m) = m**3 - 13*m**2 - 504*m + 105. Let o be y(-17). Solve q*w = o*c - 2*c + 12, -2*c = -3*w + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**5 - j**2 + 1. Let w(o) = 3*o**5 - 42*o**4 - 183*o**3 - 246*o**2 - 108*o - 6. Let l(m) = 6*s(m) + w(m). Factor l(b).\nAnswer: -3*b*(b + 1)**2*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61490104 less than 61490115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/16*(-4088)\/(-730). What is v in -n*v + 1\/4*v**2 - 2 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 12:31 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 2*s + 3. Let k be w(2). Let y = 23 - k. Solve -y*b + 32 = 5*h, -3*h + 2*b + b = -3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j + 3 = 0. Let b be -1486 - (0 - -1 - j). Round b to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1717964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-111)\/27 - 2\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36 - -2) + (-1 - -4). Let t = -41 - f. Do -10 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**3\/3 - 4*v**2 - 2*v. Let l be d(-5). What is the greatest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34261200 and 104687?\nAnswer: 376873200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 196*n**2 - 10*n + 10. Let q be x(1). Let b = -179 + q. Calculate the greatest common divisor of b and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -7203.\nAnswer: 43218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 16*r + 3*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -13*r**5\/20 - 2*r**4 - 3*r**3\/2 + r**2 + 123*r + 7. Let v(f) be the first derivative of d(f). Factor v(h).\nAnswer: -(h + 1)**2*(13*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5072\/1268)\/(2\/(-18))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22772 is divided by 386.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) 0.3 (c) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 9}. Give prob of sequence cycc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 66, -2\/19, -3\/4, -2, 4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g + 11. Suppose 17*c + 96 = 436. Let i be g\/c + (-12)\/(-5). Solve 1 = -s + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 357522.\nAnswer: 357522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**2. Let b(l) = 299*l**2 - 804. Give b(w(j)).\nAnswer: 10764*j**4 - 804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.7101 - -12.65. Let l = v - -7.6601. Which is the third biggest value? (a) l (b) -2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28034598103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.0573 to one dp.\nAnswer: 131.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/30 + 5*y**4\/12 + y**3\/3 + 8*y**2. Let w = 34 + -33. Let s(r) = r. Calculate w*j(t) - 10*s(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 15*s + 210 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*c - 2212 = 0, 4*h - 1793 = -0*h - 5*c. Calculate the remainder when 2069 is divided by h.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 6. Suppose 2*c = 8, v - 3*c = -2*c - 39. Let a(r) = 35 - 2018*r - 2017*r - 2021*r + 8066*r - 2015*r. What is v*y(u) - 6*a(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -11*z + 2. Let d(h) = 4*h - 1. Let q(g) = 8*d(g) + 3*i(g). Let w(u) = -1. What is -q(v) + w(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(495) - sqrt(495))\/sqrt(9)*3)\/(-3*sqrt(1584)*3).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 760 divide 951397140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -945 * -0.005.\nAnswer: 4.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19698 divided by -6566?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - c + 2, -782*c + 779*c + 8 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -134. Suppose -212 = -4*n - 4*j, n - 14 = -2*j + 35. Let v = n + r. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(420) - (sqrt(420) - -1*sqrt(420)))\/sqrt(12) + sqrt(35) - sqrt(35))\/(sqrt(28)\/sqrt(36)).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*r = -7420, 1462 = 167*o - 166*o - 4*r. Round o to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c**3 - 1 + 2*c**2 - 42*c**3 + 6*c**3. Let o be r(-1). Solve -3*a - 4 - o = -5*m, 0 = -m - 4*a - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.42 - 0.02. Let t = -0.6 - o. Suppose 443*a - 25189 = -5697. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z + 3. Let v(l) = -3*l - 11. Let w be v(-5). Let x(q) = -q**2 - q - 1. Determine w*x(a) + s(a).\nAnswer: -3*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/332*(-546)\/8190*5\/((-10)\/24).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/245 and -37\/105.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 188, 327, 594, 1031, 1680?\nAnswer: 2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/7 + (-423)\/(-63) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -3*l - 48. What is the third derivative of -27*d - 16*d**l + 15*d**2 + 27*d - 44*d**2 wrt d?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/2*12\/18. Which is the smallest value? (a) 1 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 127948.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 34 = -5*r, -3*o + 16 = o. Let w be 4\/6 + (-4)\/r. Solve w*m = 4*x + 4*m - 16, -x + 3*m = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.65 - 4.95. Let n(h) = -h**3 - 12*h**2 - 10*h + 12. Let m be n(-11). Let t be (1 - 14\/6)*-3. Sort m, t, a.\nAnswer: a, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*27\/(-63)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-135))\/((8\/(-562))\/(-2)). Let j = -7\/5 - y. What is the common denominator of 10\/21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -21*v**2 - 769*v - 15188. Let l(z) = -4*z**2 - 154*z - 3038. Let u(o) = 2*i(o) - 11*l(o). Factor u(j).\nAnswer: 2*(j + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 430 + 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -563\/25 or 4\/5?\nAnswer: -563\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/22773 and 7\/31897382.\nAnswer: 95692146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/7 - 6*l**3\/7 - 33*l**2\/7 + 36*l\/7 = 0. What is l?\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 11*s**2 - s + 12. Let l be m(-11). Let k(n) = -23 + l + 4*n - 17*n. Let r(x) be the first derivative of -x**3 - 3. Determine r(k(z)).\nAnswer: -507*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 698120 and 25335?\nAnswer: 6283080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 + -82. Suppose 4*d - 206 = -o. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 6*z**2 - 8*z - 7. Let w be r(-5). Let p(i) = -i**2 + 9*i - 8. Let u be p(w). Solve u = 2*c + 2*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q + 151 + q - 149 as i + o*q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 52. Suppose -10 = -3*g - q. Let b(d) = 2*d**2 + 3*d + 1. Let h be b(-2). Solve 0 = -g*x + h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 84628*j.\nAnswer: -4*j*(j - 21157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r**2 - 21*r + 11. Let f be 1*12\/(-2) + 0. Let a(t) = -7*t**2 - 11*t + 6. Let u(z) = f*j(z) + 11*a(z). Give u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27980999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5 + 19 - 9 + 3*f - 7.\nAnswer: 3*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 3, o: 5}. Give prob of picking 2 p and 2 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-5))\/((-6)\/(-3)). Let z be i\/((-2)\/(-24) - 5\/(-20)). Solve -7 = -2*m + z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 6:12 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**2 - 6*q + 5*q - 3*q - 11*q**2.\nAnswer: 22*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 4, 3*p = f + 4. Suppose p = w - 5 + 2. Let t = 104 - 102. Solve -i - 5*q - 26 = -t, w*q = -12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9923*u + 4877*u + 2 + 4716*u)*(0*u**3 - 3*u**3 + 2*u**3).\nAnswer: 330*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -18*z - 13. Let i be m(-1). Let y(o) = 19*o - 99. Let u be y(i). Which is bigger: -0.11 or u?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 181*t + 33. Is n(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 9362*x - 2 + 18 - 776*x in the form c*x + z and give c.\nAnswer: -10138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4489 + 1.\nAnswer: 4490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1587, -3180, -4773, -6366, -7959?\n\"Answer: -1593*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-20)))**(-12\/13)*(s\/((s*s*s**(-1\/14)\/s*s*s)\/s)*s)**(-28) assuming s is positive.\nAnswer: s**(214\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*s + 2*q, -5*s + q + 12 = -9*s. What is the third biggest value in -14, s, 1\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*k + 495 = -5*k + 3935 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(99)*3 + 4 + -4 + sqrt(99) + (sqrt(99) + 2)*-3 + (-2*sqrt(99))**2*-2.\nAnswer: -794 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146445141 + 25?\nAnswer: 146445166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u + 43. Suppose 3*a = 2*v - 7*v - 3, -4*v - u = 0. Suppose -r + 20 = 3*r. Is a != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 379*u - 383*u + 12, -u + 4*v - 7 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) 63\/19 (c) -0.03 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 - c**2 - c**2 + 7*c**2. Let i(o) = o. What is d(i(h))?\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1140*l - l**3 + 15*l**2 + 19*l**2 + 31 - 1205*l. Determine z(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 + -177. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 531*c**3 - 1528*c**3 - 1643*c**3 - 6.\nAnswer: -2640*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20413241 (base 5) to base 15\nAnswer: 354b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -55*g + 20. Calculate p(-3).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -q + 15. Suppose 4*f - 6*f = -364. Suppose 2*b + 38 = 4*t + f, 4*b - 285 = 5*t. What is the highest common factor of b and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*w - 2*w + w + 0*w + (-5 - 1 + 4)*(0*w - 2*w + 0*w) - 2*w - 1 + 1 as n*w + x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -173549.\nAnswer: -69419.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {h: 7, o: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173941 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 1 s when three letters picked without replacement from {k: 2, s: 3, n: 2, o: 4, v: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4698 divided by 254.\nAnswer: 2349\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 2*x. Let o be (-33)\/15 + (-1)\/(-5). Let t(i) = i**2 - 3*i. Determine o*t(g) + 3*u(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 12*z**2 + 8*z**2. Let i(d) = 4*d**2. Determine q(i(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 43*p + 48. Calculate the lowest common multiple of 42 and q(-37).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 370 - 20 = 0. What is the remainder when (-1)\/3 + m\/3 is divided by 6 - -3 - (-1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -5. Let b = p - -12. What is the second derivative of -b*i**3 - 2*i**2 + 2*i**2 + 15*i - 13*i wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-235)\/(-5875))\/(2\/2150)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 59*a + 63851. What is j(226)?\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 89.\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 - 44391*s + 656853627\/2.\nAnswer: 3*(s - 14797)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5843 + 11937. List the prime factors of c.\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + s - 4 = -9*c, 2*s - 1 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j + 4*z + 14, 0 = 4*j + 5*z - 3. Suppose 6 = j*n - 0. Suppose 0 = n*l + l. Solve -10 = -2*p - l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 6. Let l be x(-4). Let b be (-6)\/l - (-112)\/35. What is the second biggest value in 3\/7, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*c - 5, 2*b - 4 + 2 = -c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = 0, 5 + 15 = 2*z + 2*i. Suppose 2*h = 2 - 0. Sort h, z, -5.\nAnswer: -5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (6 - 30) + 30 + -31?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -50, -42, -1382, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/33)\/t**(-6\/11))\/(t**(-26\/7)\/(t*t**(14\/5))) assuming t is positive.\nAnswer: t**(9274\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.02, -121126?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/237804 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 334.3, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10051528 - -18647528. What is z rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -297*n**5 + 49299*n**4 + 569550*n**3 + 1629150*n**2 + 1120347*n + 11151 = 0. Calculate n.\nAnswer: -7, -3, -1, -1\/99, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776791 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y - 99. Calculate f(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/12*-411)\/1. Suppose -5*v - 8 = -n. Suppose -w + 47 = -v. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let s be l(3). Let i(r) be the second derivative of r**4\/12 + r**2\/2 + 3*r. Let t be i(s). Solve -j + 1 = 0, 2*a - 13 = t*a - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10740*u + 10740*u - 7*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 12*v + 217. Let y be (168\/v - -3) + 8\/20. Let z(u) = -59*u. List the prime factors of z(y).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*c + 9, 5*c - 4*s = 3 - 0. Let f(h) = -c*h + 4*h - 4*h + 2*h. Let w(g) = 2*g**2. What is f(w(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 483 and 102.\nAnswer: 16422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2823965 is divided by 282384?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3 = 14*d, -236*v + 2*d = -241*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 3966*y - 99775.\nAnswer: (y - 25)*(y + 3991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 507743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -3 + 19 + -4 + 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*h**2*j**3 - h**2*j**2 - 195*h**2*j - 2*h**2 - 7*h*j**3 wrt j?\nAnswer: -198*h**2 - 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 25*s**2 - 30*s.\nAnswer: -5*s*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98448 and 2016?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(1\/9). Let y be 30\/12*7\/(-5)*8. Let b be 0 - y\/12 - 4\/12. Solve -1 = -b*x + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -15. Let h = n - 14. Let a = h - -9. Solve 3*r = -a*r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 227*w**2 - 8037*w - 6313447.\nAnswer: 454*w - 8037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b*b**(-3)))*b))\/b**(-2\/17))\/((b**(1\/8)*b*b)\/b**(-1)) assuming b is positive.\nAnswer: b**(-137\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3325*q**2 + 28*q - 163. List the prime factors of s(4).\nAnswer: 53149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 32, 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17922800 divided by 2800.\nAnswer: 6401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 8, t: 2, z: 8}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m - 10. Calculate the remainder when a(10) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 876369, 1752735, 2629101, 3505467, 4381833?\n\"Answer: 876366*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 - 8962755331.\nAnswer: -8962755309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 48*k + 195. Let t be d(42). Sort t, 0.3, 3\/5, 0.2 in decreasing order.\nAnswer: 3\/5, 0.3, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (1 - 4) - 5 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1919\nAnswer: -5757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241176678 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -19. Suppose 2*v + 2*q = 4, q + 5 = 6*q. Suppose 4 = w - v. Solve -x*z - 5 = 5*m, -z + 2*z + 17 = -w*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**12)\/g*g*g*g)\/(g\/g**(-16)))\/((g*g*g**(1\/4)\/g*g)\/g**(-13)) assuming g is positive.\nAnswer: g**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 - ((-385 - -357) + (-9 - 2) - 18).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nngg when four letters picked without replacement from ggdngnnngne.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 641*d**4 + 608*d**4 + d + d - 5*d - 2*d**3 to the form r*d**4 + l*d**2 + x*d + o*d**3 + k and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a - 14. Let u be ((-6)\/(-2))\/(10 - 7). Is 3 a factor of x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*s + u + 13, 2*u + 10 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 4:17 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**4 - m**3 + m**2 + 1. Let s(u) = -u**5 + 13*u**4 + 5*u**3 - 9*u**2 - 9. Let f(g) = 18*r(g) + 2*s(g). Suppose f(v) = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 8. Suppose 4*x = l*p + p - 18, 3*p + 4*x = -2. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 22*h**3 + 8*h**2 + 5*h. Let s(b) = 23*b**3 + 10*b**2 + 5*b. Give -5*n(y) + 4*s(y).\nAnswer: -18*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -281 divided by -21009.\nAnswer: 281\/21009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 2310 = 31*i. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17496, -17726, -17862, -17856, -17660, -17226, -16506, -15452?\n\"Answer: 8*d**3 - d**2 - 283*d - 17220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*9\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4234 is divided by 394?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -3) + (5 - -2) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4730941.\nAnswer: 31, 101, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 2*j - 35*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 + -1829\/8. What is the second biggest value in 1\/3, g, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((-9)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798494 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 4*l - 3. Let c(f) be the second derivative of -f**4\/6 - f**3\/3 - f**2\/2 - 10*f. Suppose -4*q + q = 15. Give q*c(g) + 2*z(g).\nAnswer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288458 is divided by 429437.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253639587?\nAnswer: 23, 37, 43, 34259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0, 0.5, -0.2, -0.0582 in decreasing order.\nAnswer: 4\/3, 0.5, 0, -0.0582, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.68 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 64*p**3 - 2*p + 4\/3*p**4 + 1\/90*p**5 + 0 + 64*p**2. What is k in o(k) = 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14177*i**2 - 7106*i**2 - 6996*i**2.\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -75. Let g(w) = -w + 56. Let l be g(-14). Calculate the greatest common factor of o and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 21*j**2 + 4. What is the units digit of o(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 204 and 0.06 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/4)\/(4\/2))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.1089ng in grams?\nAnswer: 0.0000002521089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52039 and 832.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 20*z + 115 = 0, 543*l - 540*l + 3*z = 114 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*w = 19, 5*b + 5*w = 2 - 17. Let r(m) be the third derivative of -1\/12*m**4 + 0*m + 1\/30*m**5 + 0*m**3 + 8*m**b + 0. Find h such that r(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7551387 divided by 279681?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfpf when four letters picked without replacement from {f: 4, q: 1, p: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -144.7.\nAnswer: -28.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5667 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81123509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**(2\/5)*a))**(22\/7))**(-3\/2) assuming a is positive.\nAnswer: a**(66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, -11, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -556, -575, -594, -613, -632?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1498 - -1495. Let n(x) = -2*x**2 + 6. Let u(i) = -i**2 + 7. Give t*u(b) + 2*n(b).\nAnswer: -b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119657\/14 or -8548?\nAnswer: -119657\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -16, -4 in decreasing order.\nAnswer: 2\/21, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10928 or -5524\/17?\nAnswer: -5524\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(242) + sqrt(242) + 4)**2 + (sqrt(60)\/sqrt(5)*-2 + sqrt(12))\/sqrt(6).\nAnswer: 263*sqrt(2) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/9 - 189520*w**2\/9 + 1326542*w\/9 = 0. What is w?\nAnswer: 0, 7, 94753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/7)*t**(1\/10)\/t)**(-7))**(2\/83) assuming t is positive.\nAnswer: t**(-27\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*-2*-2 - sqrt(24)\/(2*sqrt(3)))\/(sqrt(576)*2*-6 - -2*((sqrt(576) - (sqrt(576) + sqrt(576)*-2 + sqrt(576) + sqrt(576))) + sqrt(576))) + 4)**2.\nAnswer: -7*sqrt(2)\/30 + 460849\/28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -55.2. Which is the third smallest value? (a) h (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 572 + 891 - 319 - 7*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/53? (a) -0.1 (b) 2\/29 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 15 = 4*d + 1, 4*d - 18 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*p - 25 = 0, -3*p - 263 = -278 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3011, -2098, 383, 5218, 13193, 25094, 41707, 63818?\n\"Answer: 131*a**3 - 2*a**2 + 2*a - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16.4 * 7079\nAnswer: -116095.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/1667? (a) 1 (b) 33 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 5406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4005100 rounded to the nearest ten thousand?\nAnswer: -4010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.14 and -4?\nAnswer: 84.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13787981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -188, 3, 457 in ascending order.\nAnswer: -188, 0, 3, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 670\/1675*20\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78465)\/15*(-7)\/(-9). Let v = w + 4073. What is the common denominator of v and -38\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 36. List the prime factors of 4\/j + 123\/9.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14 = 5*p, 0 = 2*p + 2*u - 153 + 139. Solve p = -9*m + 11*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmm when three letters picked without replacement from jjmjbmxjbb.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -42. Suppose i - 10 = 4*c. What is the highest common divisor of 110 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) 0 (c) 1.2 (d) -17 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -19 - (16 + (7 - 17)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82284.\nAnswer: 2, 3, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.9 in -1\/2, -2, 3, 54\/41, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 585, 899?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 3*l = -9*l. Suppose 2*g - z - 8 = l, -z - z - 10 = -2*g. What is the closest to 0 in g, 9\/5, 5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5319041 is divided by 2659516.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -154, -250, -272, -214, -70, 166?\n\"Answer: l**3 + 31*l**2 - 196*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 2*q**6\/15 - 23*q**5\/5 - 103*q**4\/3 - 266*q**3\/3 - 108*q**2 - 4*q - 73. Determine h so that u(h) = 0.\nAnswer: -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(-2*65\/40).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 384 - 370. Suppose 299 = y*a - 2417. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {r: 2, i: 4, j: 2, p: 3, v: 2, s: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d**5 + 5345*d**4 - 1775*d**3 - 37205*d**2 + 42780*d - 9180 = 0 for d.\nAnswer: -153, -3, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1623 + -1619. Which is the biggest value? (a) 1\/8 (b) g (c) 186 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-77)\/7 - -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*l**4 + 3629*l**3 + 6259*l**2 + 2951*l - 9 = 0. What is l?\nAnswer: -9, -1, 1\/330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7765271 and 342397.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154661, -309324, -463987, -618650, -773313?\nAnswer: -927976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 5241345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 436\/(-1962)*9\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - 2 - 3 - 0. Let t(n) = -10*n - 2*n**2 - 6 - 8*n**2 + 12*n**2. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -378. Suppose 6 = s - 3*l, 5*l + 3 + 2 = 0. Suppose g = s*r + 2*r. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) 4 (c) -1 (d) 0 (e) 2\/9 (f) 4.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/6 - s**3 + s**2\/2 + 3*s. Let o be g(6). Factor -o*d**5 + 2*d**4 - 2*d**2 + 35*d**5 + 0*d**3 + 2*d**3.\nAnswer: -2*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5445 and 774.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 81, -2, 2, -5 in descending order.\nAnswer: 81, 2, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:54 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -3*q**5\/20 + 7*q**4\/4 + 4*q**3 + 209*q. Solve a(c) = 0 for c.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 25 + -12 - 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*x + 92*x + 2*r = 0, -8 = x - r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 43. Let a(n) = n - 1. Let f(o) = 6*a(o) - h(o). What is the remainder when f(7) is divided by 6\/(-4)*(-10)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4969 = -i + 5*i, -1 = -h. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from {d: 2, n: 2, c: 1, w: 2, b: 1, y: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*w - 137, 13*w + 28 - 290 = 16*w - 8*w - 37*f for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1062\/(-236))\/((-479)\/813 + 2\/3). Is -59 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(112) - (-2 + sqrt(112) + 1))*-5)**2*3.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 1. Let d be o(-1). Suppose -5*k = -5*g + 100, 2*g - 3*k = -4 + 44. Calculate the greatest common factor of g and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthjhhhhhhttheh. Give prob of sequence htt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*w - 2 - 8 = 0, 4*a - w = 2. Suppose a = 10*g - 9*g - 5. Solve -g*u + 2 = -0*k + 2*k, -3*k = -3*u - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = 8. What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 7 (b) 513 (c) -8\/11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77895\/8 - 9725. Find the common denominator of -5\/48 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 23. What is the common denominator of 78\/40 + ((-8)\/b - -2) and 77\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s = -65*s - 510 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -1\/8*m**4 - 1\/112*m**8 + 0*m**6 + 0*m**5 + 0*m + 0 + 0*m**3 - 3*m**2 + 0*m**7. Find the second derivative of h(i) wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(15)\/sqrt(5)) + (4*sqrt(11) + 5)**2 - (sqrt(11) + sqrt(275) + -3 + sqrt(275) + (sqrt(275)*2 - sqrt(275)))**2.\nAnswer: -2624 + 137*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 8*h. Let c(o) = 2*o**2 + 3*o + 3. Let s(a) = -a**2 - 2*a - 2. Let p(y) = -2*c(y) - 3*s(y). Give p(u(z)).\nAnswer: -9*z**4 - 48*z**3 - 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 49680?\nAnswer: 49680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*p + 192*p - 2*h + 8, 2*p = -5*h + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214068*r**2 - 158953*r?\nAnswer: 428136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-9)*-7*(-24)\/420?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3058655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1905 = 3*o. Let u = 8765\/23 - o. Which is the closest to 0? (a) 2 (b) u (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (0 - (25 - 7)) - (-6 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -967 - -1808. Let a = w + -841.00002159. Round a to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 4*h + 3. Let t be l(-3). Let k(v) = v. Let y be k(t). Which is the fourth smallest value? (a) 1\/10 (b) -1\/2 (c) 2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/24*-34*19\/(266\/(-56)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9, 0 = y - 6*y + 3*z - 9. Which is the second biggest value? (a) -1\/2 (b) y (c) 3\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*n = -2011, w - 5*w + 2*n + 2002 = 0. What is the hundreds digit of w + -9 + 6 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.93948 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 256961 = -2761961. What is s rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*l = -6, 2 = t + 7*l - 10*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from vvvvavvvvvvvv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmqdqmdmd. Give prob of sequence qm.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 20*m**2 + 7*m + 141. Let d be q(-20). Sort 4, 159, 2, d.\nAnswer: d, 2, 4, 159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5435 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 587378030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7696)\/6272 + (-10)\/(-8). Let j = t - -10289\/4312. Find the common denominator of j and 610\/12 + 1\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4800574 divided by -4800574.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 1, r: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(50) - -2*(sqrt(50) - (3 + sqrt(50)))) + 5)**2.\nAnswer: -30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8387342 to the nearest integer?\nAnswer: 2896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4322 - 77?\nAnswer: 4278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 18, h: 1}. What is prob of picking 1 h and 1 t?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 7*n**2 - 6*n + 7. Let h be r(-6). What is the highest common factor of 56 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 21*n**4 - 6*n**3 - 21*n**2 + 4*n + 2. Let b(w) = 42*w**4 - 12*w**3 - 42*w**2 + 7*w + 5. Let x(d) = -2*b(d) + 5*c(d). Factor x(u).\nAnswer: 3*u*(u - 1)*(u + 1)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-2\/11)*h**(-3))\/(h**0*h*h)**(-22) assuming h is positive.\nAnswer: h**(475\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 4*k**3 - 8*k**2 + 4*k + 6 = 0. What is k?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -0.17. What is the nearest to 0.1 in 2\/11, q, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-54)\/15 - -1*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16379995 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/8 + 6\/4. Let c be (0 - -1 - 0)*f. Suppose 0 = c*u - 4, 4*n + 5 = -3*u + 11. Which is smaller: n or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -34, -37, -40, -43?\n\"Answer: -3*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 23*l. Let m(h) = -18*h**2. Determine g(m(v)).\nAnswer: -972*v**4 - 414*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 4*v**2 - 4*v**2)*(-3*v - v + 2*v) + 3*v**4 - 3*v**3 + 3*v**3 + 32*v**4 + 19*v**4 - 40*v**4.\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2. Let s be r(2). Suppose 2*n + 5*y - 926 = -n, -y = -s*n + 600. Suppose 2*b - 128 = -2*j - 2*j, -5*b = j - n. Round b to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*f, -5*s + f + 56 = -0*f. Let r = -49\/4 + s. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 2 + 87 - 5*h - 91 - 3*h**2. Let c = -10 - -16. Let i(o) = -1. Determine c*i(g) - x(g).\nAnswer: 3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -548 - -548.000002258. What is n rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -13. Suppose f - l = -2*l + 7, 2*f - l = k. Suppose -6*q + 3*q = -w - 12, -w + q - 2 = 0. Calculate the highest common factor of f and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 2*v - 23 - v + 10*v - 13*v + 0*v. Let x(m) = m**3 + 2*m**2 - 2*m - 1. Let n be x(2). Determine l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -6 + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 549*d**4 - 3*d**3 - 550*d**4 - d**3 - d**4 + 4*d**4 - d**4 + (-3*d + 2*d + 2*d)*(-d**3 + 4*d**3 - d**3) - 4*d**4 + 0*d**4 + 3*d**4.\nAnswer: 2*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.051 + -6855816272.7\nAnswer: -6855816272.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11549 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + 3*4*sqrt(68))\/(sqrt(180)\/sqrt(5)).\nAnswer: 14*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + -0.6. Let m = o - 0. Let r = 134\/3 + -45. Which is the second biggest value? (a) r (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2536 = -2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 - 82. What is the second biggest value in -2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -7. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -738554 and -0.4.\nAnswer: -738554.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93.33 + 94.7. Which is the nearest to -0.2? (a) 4 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 14, 1545, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162 + -6546404?\nAnswer: -6546566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + s)*(-18*s**4 - 13*s**4 + 26*s**4 + 8*s).\nAnswer: -5*s**5 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 617935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -66*z + 3214. Calculate p(46).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -19937 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x - 16*x + 38*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -233 + -73?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from lppr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -1660.\nAnswer: 18260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.99 - -8.11. Let g = d + -10. Let i = g - -0.2. Which is the second smallest value? (a) i (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 11 - 3. Suppose v*y - q - 48 = 0, 3*y - 96 = -4*q - 13. Solve 3*i + 12 = j, -5*j + 0*i - 2*i - y = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1239, -1241, -1243, -1245, -1247?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -23 - 22. Let d be 0\/(x + 4 - -4). Solve d = -5*o + 20, 5*g - g - 4*o + 12 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = 2*d, 0 = 5*m + 3*d + 2*d. Suppose r = -m*r + 12. Suppose r*j = -0*j + 12. Solve -j*y - 2*y = 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 92*d + 39*d - 17064033. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/320)\/(66\/55)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/49 and 5\/15 - 183\/189?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81777047 is divided by 644.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 32, 16*o + 20 = -3*v + 32*o - 18*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.051346 * 8\nAnswer: 0.410768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.9 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 5474246 = -5474790 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p - 44. Let v be a(-22). Calculate the greatest common divisor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 7*k**2 - k + 10. Suppose -3*v = -1 - 20. Determine s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -4\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 195. Let o = -8 - s. Let z = o + -49. List the prime factors of z.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132.1 + 126. Let d = j + -0.3. Let u = 6 + d. Which is the closest to 1\/2? (a) 0.2 (b) u (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 4.1. Let f = -12 + 11. Let x = 1291\/22 - 117\/2. Which is the biggest value? (a) q (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*38\/380*2\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 - 5*v - 4. Let m be x(-2). Let f be 2 + 1 + (m - 7). Suppose b = -f*b + 8490. What is b rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3026 and 6052.\nAnswer: 6052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {w: 2, e: 2, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2544014 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15707\/40 - -1989\/5. Let g(m) = m + 3. Let t be g(-8). Calculate the common denominator of k and 7\/(-14)*71\/t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -4. Suppose -3 + g = -w. Suppose 0 = w*s - 3*v - 10, s + 5*v = -0 - 8. Calculate the highest common divisor of 16 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2007 - 178. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5264*x**2 - 5*x + 1. Let k(y) = 239*y. What is k(b(a))?\nAnswer: 1258096*a**2 - 1195*a + 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202120320303 - -120?\nAnswer: -202120320123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 487.6 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1398*t**2 + 287*t + 2 + 299*t - 587*t + 25*t**2 to the form a + l*t**2 + j*t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5290 - 5050. Solve 0 = 4*j - k + 244 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 3\/4 (c) 4\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 365 (b) -11 (c) 3 (d) 4\/11 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 8*c - 2. Let j be m(-4). Let y be (-4)\/8 - 1*1\/j. Solve 3*h = -y*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**0\/n)\/n)\/n*n**(-3\/4)*n)\/(((n\/(n\/n**(-1\/2)))\/n*n)\/((n\/(n*n*n*n**(-1\/5)))\/n)))\/((n**(8\/7)\/n**(1\/4))\/(n*n**(-6)*n*n**7)) assuming n is positive.\nAnswer: n**(-68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 - -99. Let n = -61 - m. Suppose 3*b + 3545 = n*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.855384993 to two dps.\nAnswer: -3.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s + 5*b = 27, -4*s + 19 = b. Let f be (1 - -17)\/(5 - (-117)\/(-18)). Let i be f\/(-20) + ((-324)\/20)\/(-3). Solve 6 = s*a - i*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -180 + 334. Let n = -156 + j. Let f(o) = -o**3 - 2*o**2 - 2*o + 1. Determine f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8 = -a, -7*r = 3*a - 12*r + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a - 3*a + (0 + 1 - 2)*(-3 - 2*a + 3) - 2*a + 6*a - a)*(0*a + 0*a + 2*a)*(7 - 2 - 2 + (-3 + 2 - 1)*(-11 + 17 + 14)).\nAnswer: -296*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzssz. What is prob of sequence ssz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, k: 1, j: 3}. What is prob of sequence jk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*a - 124842 = 388*a - 6346. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-91) - 83\/(-7). Let i = u + -7. What is the second derivative of -2*l**i + 32 - 2*l - 32 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(72))**2*-3.\nAnswer: -219 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**3 + 17*z**2 - 26*z + 17. Let p(m) = -2*m**3 - 6*m**2 + 9*m - 6. Calculate -6*i(k) - 17*p(k).\nAnswer: -2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 43. Let q = -12 + a. Suppose q*m = -3*j - 0 + 21, 18 = 4*m + 3*j. Solve -m*t - 6 = -15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*n - 6*n - 38, -3*a + n - 26 = 0. Find the common denominator of 53\/30 and ((-6030)\/24)\/(-3)*2\/a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -6503*f**3\/6 - 5465*f**2\/2 + 38*f - 20. Find the first derivative of c(m) wrt m.\nAnswer: -6503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 7*x**2 + 12*x - 4. Let j(k) = -k**3 - k**2 + 55*k - 3. Let r be j(-8). Calculate q(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17997096038600441 + 17997095838758124.00000086. Let g = -199842320 - u. Let z = -3 - g. What is z rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49777134 and 48422.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let q(z) = 12304*z**2 - 2*z - 2. Calculate q(o(s)).\nAnswer: 49216*s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9987 - -159693\/16. Let m be 14\/(-6) - 2\/3. What is the common denominator of ((-67)\/m)\/(16\/(-6)) and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + a + 313 - 312 = 0, -u - 2*a - 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 79. Let w be 91\/(-26)*l\/(-14). Suppose 6*q = 3*q + 6. Solve q*d = 3*i + 5 + w, 5*i + 13 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12.1. Let x be 8\/12*6\/(-7). Put 0, q, x in ascending order.\nAnswer: x, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1173.3 - -1060. Let q = -181 - c. Let f = 68 + q. Put 3, -1, f, 0.2 in descending order.\nAnswer: 3, f, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3186\/108)\/(2\/152). Which is bigger: v or 2243?\nAnswer: 2243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 36 = 0. Let x(k) = -5*k**3 + 3*k**2 + 15*k + 3. Let z be x(-3). Let j = 140 - z. What is the smallest common multiple of m and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6914 - -6421. What are the prime factors of j?\nAnswer: 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316055731*t**2 - 1020580018*t wrt t?\nAnswer: -632111462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1742194 - -0.17061. What is m rounded to five decimal places?\nAnswer: -0.00361","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -0.2. Let f = 50 + -48. What is the nearest to f in s, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*y - 93*y + 37*y + 1)*(2*y + 2*y**2 - 2*y).\nAnswer: -14*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1405 rounded to 3 dps?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - -7?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/7*r**2 + 1200\/7 - 405\/7*r + 3\/7*r**3 = 0 for r.\nAnswer: -16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 676479167 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five halves of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-266)\/(-665))\/(19\/5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/8 (b) -4 (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344 a factor of 1478404669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 290686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p - 5. Let d be (-1 + 391)*2\/4. Suppose -5*q - 10 = -d. Calculate the remainder when q is divided by r(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2130.999996572 - 2131. What is p rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4)*x*x**(-1\/19)*x)**(-4\/7)\/((x\/x**(-2\/11))\/x**(-2\/7))**(-4\/3) assuming x is positive.\nAnswer: x**(1604\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111 - 10?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 2*n**3 - n**3 + 22 - 29 + 27 + 18 to u*n + g + f*n**3 + p*n**2 and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4\/7)\/k)\/k**(2\/7))\/(k*k\/k**(-1\/2))**(-19))\/(k**(-3\/4)\/((k*k**(-3))\/k)*((k**(-2\/9)*k)\/k)**(-3\/10)) assuming k is positive.\nAnswer: k**(18197\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 19 - 18 + 1 + 1 - 5 + (-4 + 6 - 4)*(0 - 2 + 1))*(-6*i**3 + 6*i**3 + 20*i**4)*(-2*i + 0*i + 3*i).\nAnswer: 760*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 2*a**2 - 3*a - 4. Let z be d(-2). Solve -z*k = 7 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -198, -394, -590, -786, -982?\n\"Answer: -196*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29989132.\nAnswer: 2, 29, 258527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1037\/70 - 74\/5. Let i = 16\/105 + r. Factor -1\/6*s**4 - 1\/6*s - 1\/6 - i*s**5 + 1\/3*s**2 + 1\/3*s**3.\nAnswer: -(s - 1)**2*(s + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*((-10)\/6)\/(27040\/832)\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1037792366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 1\/(2 + -1). Suppose 64 = n*r - 4*o, 5*r + 0*o - 3*o = 74. Calculate the common denominator of 38\/9 and (r\/4)\/(4\/10).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttttttbttttt.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-287)\/49 + 3)\/((-2)\/(-10)). Let h = 7286\/511 + a. Let o = h + -65\/292. Do -38\/5 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9319203 - (-1 - -3 - 1). Let l = g - 480796. Round l to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2230003 (base 6) to base 12\nAnswer: 55303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + g**2 + g - 1. Suppose 0*q - 3*q - 3 = 0. Let k(i) = 7*i**3 + 3*i**2 + 4*i - 5. Determine q*k(c) + 5*z(c).\nAnswer: -2*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -195, -201, -243, -339, -507, -765, -1131?\n\"Answer: -3*w**3 + 15*w - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -219057, -438127, -657207, -876297, -1095397, -1314507?\n\"Answer: -5*h**2 - 219055*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 10:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9931747 to the nearest integer?\nAnswer: 3151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*6\/18*-76. Suppose -j*s - 6384 = -88*s. Is 73 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, f: 1, p: 5, u: 2, n: 7}. What is prob of picking 1 f, 1 n, and 1 u?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350029915 divided by 85.\nAnswer: -4117999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z + 292 = -29*z - 830 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x + 5*o = 19, 2*x - 43 = -5*o. Solve 36 = -3*h + x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 1300527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 - 322*d**4 - 9*d**5 + 423*d**4 + 10*d - 84*d**4 - 21*d**2 = 0.\nAnswer: -10\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -493d?\nAnswer: -493d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -243, -1006, -2291, -4098, -6427, -9278, -12651?\n\"Answer: -261*h**2 + 20*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2*25\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/((-116)\/(-145)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*h**3 - 38*h**4 + 210 + 81*h**4 - 44*h**4 + 315 with respect to h.\nAnswer: -4*h**3 + 402*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 4) to base 10\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 2. Let m = -15 - -18. Put m, 1, f in decreasing order.\nAnswer: m, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 9723*y**2 + 10034856*y - 3347143344.\nAnswer: 3*(y - 1537)*(y - 852)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 6. Let h be 55\/5 + 1*o. Let f(n) = n - 5. Calculate the least common multiple of 20 and f(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9769 divided by -2\nAnswer: -9769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 11*a**2 - 2*a + 25. Let f be i(11). Let d(b) = -b + 12. Let t be d(12). Solve t*x + f*x = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(77)*2*6)\/((sqrt(66) - -1*sqrt(66)*-5)\/(sqrt(18)\/(-2*sqrt(3))))*-5)**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*s**4 + 39*s**4 - 1 + 154*s**5 - 24*s**4 + 80*s**5 + 272*s**2 wrt s?\nAnswer: 14040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 11*o + 3. Determine p(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1653)\/(-12) - (14\/8 - 2). Suppose -44 + u = q. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = -6. Suppose 85 = 2*k + x*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (616 - 616 + 95*i)*(4*i - 2*i + i).\nAnswer: 285*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 146542305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -5. Let y = -0.03 + -0.07. Which is the third smallest value? (a) 0 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 10*h**2 - 11*h + 8. Let r be p(-9). What is the units digit of (-12)\/(-2 + 6) + r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:39 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 64, 142, 250, 388, 556, 754?\n\"Answer: 15*j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, a: 2}. What is prob of sequence af?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5268\/11 - 477. Find the common denominator of i and 52\/95.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 13*g**2 + g - 7. Let i(w) = -28*w**2 - 3*w + 15. Determine -6*i(r) - 13*j(r).\nAnswer: -r**2 + 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2133.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 - 2. Let b(l) = -11*l**2 + 3. Let c(w) = 5*a(w) + 3*b(w). Determine c(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0 + 0)*(6*h**4 + 2*h - 2*h) + 13*h**2 - 13*h**2 - 18*h**5.\nAnswer: -24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-92) + ((-119)\/588 - (-1)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*o + 235 - 22*o - 31*o + 38.\nAnswer: -o + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 414837*b - 414843*b - 87, 0 = -5*b - 5*i - 90 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -10583*q**4\/8 - 2*q**3\/3 + q**2. Let l be o(4). What is l rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuucunnuuqcnxbbucu. What is prob of sequence xq?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -160545, -642162, -1444879, -2568696, -4013613, -5779630?\n\"Answer: -160550*h**2 + 33*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiakaaikikiiaaikaea. What is prob of sequence aa?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 12*r**5 - 8*r**3 - r**3 - 12*r**2 - 15*r**3 + 28*r**4 = 0. What is r?\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1934706681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 2166.8\nAnswer: 28168.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from txstsqqxssxnqsu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -655, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose f - 8 = v. Let n(y) = -2*y**3 - 12*y**2 + 11*y - 1. What is the remainder when n(-7) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1354, -14, -4 in ascending order.\nAnswer: -1354, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 3*i + 0 + 6749\/2*i**3 + 6*i**2. Let o be r(4). Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by -3\nAnswer: -320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*m - 3*m, 2*m = -y. Solve -3*h + 7 + 5 = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8389 or 8429?\nAnswer: 8429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3*p**2*w + 24*c**3*p**2 - 813*c**3*p*w - 4*c**3 + p**2 wrt w?\nAnswer: -c**3*p**2 - 813*c**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -37 + 30 + -14\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7197048 divided by -3598524\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let m(g) = -67*g - 2 + 2 + 83*g. Calculate m(j(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 5:06 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + 3*l - 3. Is i(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4612562 and -1?\nAnswer: 4612563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 21*k = 30. Solve y + k = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v - 7*v + 3*v in the form p*v + t and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1457890 and 45.\nAnswer: 13121010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-57) - (-424)\/(-4028)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*h - 15 = -0*h, 2*x = -2*h + 14. Suppose -4*k + x*u = -1143, 3*k - 2*k = 5*u + 282. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 308714, 617416, 926118?\n\"Answer: 308702*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.03 rounded to 1 decimal place?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1325700640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*p + 4*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 2\/3 (c) -3 (d) 19 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*n**3 + 217*n**3 + 164*n**3.\nAnswer: 309*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + 12748.\nAnswer: 12583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1041 + -1949. Let j = l + 2599. Does 89 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 114*r + 6681.\nAnswer: -(r - 51)*(r + 393)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/((g*g**(2\/25))\/g)*g)**12)**43)**(-8\/5))**13 assuming g is positive.\nAnswer: g**(-2575872\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.19 + 0.19. Put -1, -5, l in increasing order.\nAnswer: -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04781*-2.\nAnswer: 0.09562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0 + 8 + j - 7. Let c be k(-13). Let w be c\/(-3) + -2 - 0. Solve 0 = 4*q + w*l - 10, 2*q + 2*l + 7 = 5*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utl when three letters picked without replacement from lzzltzsuztzl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5.25*0.0133\nAnswer: -0.069825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktktkkktttkkkkktkkk. What is prob of sequence kt?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 995*c + 4947. Calculate z(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - (-7 + 2 + -2) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - 2) + (2 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 >= 3114\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 16. Let u be p(13). Suppose 4*s - 2 = 3*c, u = 2*c + 3*c. What is the third derivative of 8*i**5 + 2*i**2 - 7*i**2 - 2*i**s wrt i?\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 8*c**3 - 168*c**2 + 35*c**3 - 228*c**2 - 14*c**3 - 11*c**3.\nAnswer: 2*c**3 - 396*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5 + 26*m**4\/3 - 28*m**3\/3 - 8*m**2\/3 + 16*m\/3 = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 2*n**2 - n - 1. Let p(k) = -9*k**3 + 34*k**2 - 19*k - 46. Let v(h) = -4*l(h) - p(h). Determine s so that v(s) = 0.\nAnswer: -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96981 and 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/16*2*-2. Let z(v) = -7*v**2 - 39*v - 17. Let d(f) = 3*f**2 + 19*f + 8. Let o(u) = 9*d(u) + 4*z(u). Let p be o(15). Which is greater: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284670 is divided by 256?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 19 - (2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107115053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 + (-6 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*z - 20. Let k(f) = 22*f**3 + 2*f**2 - 1. Let h be k(-1). Let p be h\/(1*(-3)\/6). What is the highest common divisor of p and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 44 + 9 = 0. Suppose -g*n - 4*p = -287, n + 5*p = -n + 108. Calculate the remainder when n is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*l - 19473 = -3*z - 437*l, 5*l = -z + 6501. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 71*w + 307. What is t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**2 + 53 - 53)*(2*b - b + b).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3\/4 - 71586*a**2 + 1145337*a\/4 - 214749 = 0. What is a?\nAnswer: 1, 3, 95444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/2))**(-10\/11)*((k\/k**(-4))\/k)\/((k*k**3)\/k) assuming k is positive.\nAnswer: k**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462088367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.2 - -34. Let z = 0.118 - 5.118. What is the closest to 6 in z, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 132.\nAnswer: -5\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443082?\nAnswer: 2, 3, 73847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcpipcii. Give prob of picking 2 c and 1 i.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23503304 + -1?\nAnswer: -23503305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*m - 13 = 0, 60*g = 56*g - 4*m + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487654891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -5*r + 3*r, r = 2*h + 18. Let u(t) = t**3 + 8*t**2 + 9*t + 2. Determine u(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*b = -828*b - 184 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - h = -6, -5*s + 2*h + 13 - 55 = 0. Let j be 138\/33 - (-4)\/(-22). Is (s + j)\/(2\/(-13)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {i: 4, j: 12, z: 1, o: 3}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -194\nAnswer: 5\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*f - 2*h, 2*f - f - 32 = -h. 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: What is the value of (-5)\/1*(7 - (-238)\/(-35)) - (-6231)\/93?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-1)*r))**(-1\/29))**42*(r\/(r*r**(3\/7)*r*r))\/(r\/((r**(-5)*r)\/r*r*r))*((r**(-1)\/r*r*r)\/r)**(-6\/11) assuming r is positive.\nAnswer: r**(-16371\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1428*z**2 - z. Let c(y) = y**3 + 8*y**2 + 7*y - 1. Let t be c(-7). Let b be r(t). Suppose -506 = x - b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 3*p + 10, -4*p + 20 = 3*y. Suppose y*i = 2*i + 4. Let c(k) = -4*k - 2*k**i - 2 + 0*k + 4*k**2 - 3*k**2. What is c(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (8 + (1 - 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -3, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/47? (a) 5 (b) -2\/9 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-2))\/(201\/134).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17*i + 27. Let w(a) = -11*a - 16. Let t(c) = 5*b(c) + 8*w(c). Let n(g) = -4*g. What is n(t(f))?\nAnswer: 12*f - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 + 2 = 0, 2*d + 37 = -3*r. Let k = 79 + d. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 105. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*a + 16. Solve 0 = -3*f + a*h + 11, -3*f - 3*h - 11 = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 3*n**5\/140 - 5*n**4\/14 - 37*n**3\/14 - 39*n**2\/7 + 1189*n. Factor t(i).\nAnswer: 3*(i - 13)*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -72*p**5 + 15*p**2 - 429*p - 22. Let b(m) = -18*m**5 + 4*m**2 - 107*m - 6. Let y(z) = 22*b(z) - 6*g(z). Find the second derivative of y(x) wrt x.\nAnswer: 720*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12064704, 24129415, 36194126, 48258837?\nAnswer: 60323548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p. Let t(n) = -3*n + 1. Let o(v) = -3*t(v) - 2*y(v). Let c be o(6). Put -2, c, -5 in decreasing order.\nAnswer: c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8192.98 - 1621.68. Round t to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 5610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 + 4*b - 4. Let j(z) = 2*z**2 + 5*z + 5. Suppose -4 = 4*r - 4*i - 0, 2*r = 4*i + 2. Let c be j(r). Suppose 4*m - 4 = c. Calculate g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*((l**(-2\/23)*l*l)\/l)\/l*l*l*l*l))**50\/(l**(1\/8)\/l)**(-17) assuming l is positive.\nAnswer: l**(-47937\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1 + 2)**2 + 6*(sqrt(720) + -1).\nAnswer: 144*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4 - 5. Suppose 0*d - 484 = -3*d + 4*u, -x*d = 5*u - 475. What is the greatest common factor of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 x when four letters picked without replacement from ffffffxxfffxfx?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-3)\/(-150))\/(52\/15080)*(-2)\/2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8855.98 - -8732. Let x = 123 + g. Let d = 1.7 + x. What is d rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686266042 to the power of 1\/3, to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(108)*5)\/(sqrt(192)\/sqrt(3)))\/(sqrt(18)\/(-4*sqrt(2)) - -3*sqrt(900)))**2.\nAnswer: 75\/14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + i = -21 + 3, -4*i = 3*b - 5. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27053842 or 27053839?\nAnswer: 27053842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2039480411 rounded to the nearest 1000000?\nAnswer: -2039000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1614, -1, -18, -3, 1, 8 in descending order.\nAnswer: 1614, 8, 1, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6238 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f*f**(2\/13))\/f))*f)\/(f\/(f**(-5\/2)*f)))**(3\/11)\/(((f*f*(f**(1\/4)*f*f)\/f*f)\/f)**(-42)*(f**(2\/3))**(-13\/3)) assuming f is positive.\nAnswer: f**(178921\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 789261\/44*4\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -562*h + 644. Calculate the remainder when 389 is divided by n(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269519, 269334, 269015, 268556, 267951, 267194?\nAnswer: 266279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -208704 divided by -26088\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c**2. Let u(m) = -12*m**2 + 5*m + 10. Let i(t) = t**2 - t - 2. Suppose 40 = 4*b + 4*b. Let q(l) = b*i(l) + u(l). Calculate a(q(x)).\nAnswer: -490*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70238*q**3 - 3 + 3 - 70225*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68360 and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u - 5. Let a(j) = 143*j - 44. Let s(p) = -5*a(p) + 44*y(p). Let o(l) = -2*l + 8. Let k(q) = q - 3. Let m(b) = 8*k(b) + 3*o(b). Calculate s(m(v)).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 881996 to the nearest one thousand.\nAnswer: 882000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 69?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + sqrt(54) + sqrt(54) + sqrt(4374) + sqrt(54) + sqrt(54))\/sqrt(3) + 0)**2 + 0.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 8*j = 1624. Calculate the remainder when j is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007265191 to four dps.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1178782349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6*q - 446 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-24)*a))\/(a\/((a\/(a\/((a\/a**(2\/67))\/a)))\/a)))**(-2\/9))**(4\/17))**(11\/8) assuming a is positive.\nAnswer: a**(-16192\/10251)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 5:01 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100011011111000000100 + 101?\nAnswer: 101100011011111000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, -12451030, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 379003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - n - 6 + n**2 + 1 + 2. Let v be w(-4). Suppose -4*t = -2*t. Which is the second smallest value? (a) 1\/5 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -72 (c) -2\/11 (d) -2\/3 (e) -0.048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8502*q**2 - 17*q + 16. Is k(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 + 0*k**2 - 1\/3*k**3 + 1\/10*k**5 + 1\/5*k**6 - 1\/2*k**4 - 3*k. What is t in q(t) = 0?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002328.\nAnswer: 2, 349, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.4 - -0.4. Let q = 9 + s. Let d be (-2)\/((-2 - 3)*1). Which is the closest to q? (a) 1\/2 (b) d (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 317*k**2 + 1. Let t be f(1). Let i = t + -87. Suppose 0 = 5*y + 2*r - 227, 0*y - 5*y = r - i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 4*k**3\/3 + 10. Let t(i) = i. What is a(t(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-7) - (-12849744)\/1484. Round x to the nearest one hundred.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 16. Let x(z) = -3 + 12*z + 0*z**2 - 5*z**2 - 4*z. Let p(m) = 3*m**2 - 5*m + 2. Let j(i) = k*p(i) - 5*x(i). Differentiate j(o) wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 4*i**2 - i. Let n be u(-4). Suppose -w = n*w. Suppose 4*m - 6 = 2*q + 14, -3*q - 4*m = 0. Put -1, w, q in descending order.\nAnswer: w, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5364)\/(-42) - 4\/(-14). Suppose -2*p - 5*q + a = 0, p - 4*q - 24 = 53. Is p a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 + -1.469.\nAnswer: 62.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 + -142. Let b be (-5)\/(-10) + (-4)\/(p\/5). Solve 0 = -5*g + b*w - w - 8, 2*w + 12 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 581 - 577. Which is the nearest to -1? (a) 2 (b) 2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 divided by 1.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 14*j + 23. Let r be i(-10). Let u be (r\/3910)\/(1 - 6\/8). Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4 = 2*f - 5*x, 5*x = f + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -130. Calculate the lowest common multiple of v and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*y - 7, 0*w - 5*w - y - 19 = 0. Let t be w*-1*(-2)\/4. What is the second smallest value in 0.2, t, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12561432 and 44954.\nAnswer: 87930024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406 + 135. Let f = x - -275.34. Let m = f + -4.3399729. What is m rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 446, 4, 4.1, -0.3, -1\/3, -8\/3 in descending order.\nAnswer: 446, 4.1, 4, -0.3, -1\/3, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 84.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 213 + 113. Let p be i\/210 - 52\/(-56). What is the biggest value in p, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebqq. Give prob of sequence bbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 2*k**2 + k + 2. Let z be m(-2). What are the prime factors of 3\/(z - (-3)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-143)\/13 - -24 - 6. Let c(r) = r**2 + 5. Let m(x) = x**2 + 8. Calculate g*c(h) - 5*m(h).\nAnswer: 2*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 40260 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 21 = 2*s. Suppose w + 10 - s = 0. Suppose -2*c = -3*f + 5, -5*c + 25 = w*f - 3*c. Solve 4*a + 5*o - 1 = -0, -5*o = -f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4280?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (4 - 13)) + (-3 - 0). What is the greatest common divisor of 48 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3 - k**2\/2 - 9*k. Suppose 0 + 6 = 6*u. Let s(y) = -y. Determine u*n(x) + 5*s(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69*(-2)\/33 + 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*c - 5*q = 124*c + 6, -5*q = -2*c + 7. Sort c, -1, 32\/7 in decreasing order.\nAnswer: 32\/7, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/3 + u**3\/2 + u**2 + 27*u. Let o be w(-1). Solve 4*h + 5 = o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:14 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b + 18. Let q = 10 - 6. Calculate the greatest common factor of q and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -140 + -4268760?\nAnswer: -4270010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -19*l**2 + 1\/3*l**3 + 0*l + 0 + 3\/20*l**5 - 11\/24*l**4. What is the second derivative of j(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101125 is divided by 24028?\nAnswer: 5013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57791 - 0?\nAnswer: -57791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208.866 - -209. Let s = v - -2.866. Let y be -2 + (-1 - (-50)\/18). Which is the biggest value? (a) 4\/13 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (-3*(sqrt(119)*-3 + sqrt(119)) - sqrt(119)) - sqrt(119))\/(sqrt(112)\/sqrt(4)) + -4.\nAnswer: -5*sqrt(17)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/200 and 7\/1800.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3514?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 132, 242, 376?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 340 - 337. Solve 2*n + p*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 87363, 5 in decreasing order.\nAnswer: 87363, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, -142 in decreasing order.\nAnswer: 0, -2\/5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - c + (-c - 3 + 3)*(-60 - 15 + 10))*(-3*c + 1 + 5*c - 3)*(3*c**2 - 5*c**2 + 0*c**2).\nAnswer: -256*c**4 + 256*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**2\/2 - 8*x - 6. Let g(z) = z + 16. Let l(c) = 2*g(c) + 5*o(c). What is the derivative of l(n) wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = q - 26, -4*q - 101 = 2*d - 95. Suppose 0 = -3*u - 0*u + 84. What is the tens digit of 112\/u - (1 + d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 8 = 3*a + 25, -3*c = 4*a + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 85027.3956 nanoseconds?\nAnswer: 0.000000000140587625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 471, -4, -2\/5, 1.11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7089036.5 rounded to the nearest ten thousand?\nAnswer: -7090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1905*q**2 + 32366*q + 330. Determine x(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5858 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 338 - 421 = 0. What is the remainder when v is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/2 - (-18)\/(-4)) + (-56 - -56649)?\nAnswer: 3, 13, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + a = -36151, 19*s = 9*s - 2*a + 90400. List the prime factors of s.\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 3*m. Is 18 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 7*f**6\/3 - 7*f**2 - 17. Find the second derivative of y(v) wrt v.\nAnswer: 280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 + 3*j. Let h be t(-3). Let b = -12 + h. Let x be 6\/(-27) - 382\/(-18). Solve 5*n + b = -5*d, -2*d + x = -5*n - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 435. Let d = g - -23484\/61. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-8)*(-2)\/(-3). Let l be -2*6\/32 + (-1)\/(-4). Let s = -14 - -14.3. What is the second biggest value in s, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 - 7 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, -3, 1, 4, -4, 9, -1 in decreasing order.\nAnswer: 9, 4, 1, -1, -3, -4, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/5)\/((v**6\/v*v)\/v)*v**0*v*v*v*v*v*v**(-2\/7)*v*((v*(v**(1\/4)*v)\/v*v)\/(v*v**(-10)\/v))**(1\/29) assuming v is positive.\nAnswer: v**(6239\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 295 - -6752. Calculate the greatest common factor of n and 1944.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -7*v + 8*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((15\/(-2))\/5)\/((-13)\/26). Suppose -16 = 13*y - x. Sort 1\/4, y, 4\/7 in descending order.\nAnswer: 4\/7, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 + 34 + v**3 + 17*v**2 - 11*v + 9*v**3 - 15. Let x(k) = -3*k**3 - 8*k**2 + 5*k - 9. Let h(p) = 9*x(p) + 4*z(p). Let f = -5 + 10. What is h(f)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26273\/30 - 4443\/5. Find the common denominator of ((-129)\/(-3))\/(1 - -1) and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -w + 11, -4*q = 2*w - q. Solve -21 = -w*t - 3*j, 2*j = -4*t + 6*j - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 6765?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -51, -3\/7 in decreasing order.\nAnswer: 8, -3\/7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((16 - 5) + -33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135685 * -1.8.\nAnswer: 244233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44955666299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 61*y + 295. Determine u(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3105, 1929, -1203, -7251, -17175, -31935?\nAnswer: -52491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/9 - 8*h**2\/3 + 12*h.\nAnswer: -4*h*(h - 3)*(h + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3*f - f)*(-f - 3 + 3) - 4*f**2 + 4*f**2 + 2*f**2 - 13709*f + 13709*f + 11*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.287 in 17, 22, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 37 = -29 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238 - -235. Let y be (10\/30)\/(p\/27). Let s(n) = 3*n + 11. Let v(u) = -2*u - 5. Let d(t) = -2*s(t) - 5*v(t). Give d(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3294325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5\/6 + 85*y**4\/2 - 5109*y**3\/2 - 120091*y**2\/6 - 1572*y + 102966 = 0.\nAnswer: -6, -3, 2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -11 - 19*k - 2\/5*k**2 + 1\/12*k**4 + 4\/15*k**3. Let v(o) be the first derivative of r(o). Determine m so that v(m) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4566554\/9 or 507395?\nAnswer: 4566554\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10186 is divided by 3395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + 8) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.3974816411.\nAnswer: 4.3974816411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -18, 72, 240, 510, 906?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 2.264?\nAnswer: -1.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9 = 0, 1 = -5*m + 4*t + 88. Let n be (-10)\/(-6) - (-5)\/m. What is the units digit of (5\/6*n)\/(4\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5009 - 3532 = -x - 5*z, 2*z = 2*x - 17034. List the prime factors of x.\nAnswer: 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2131221833 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 19. Calculate the highest common divisor of c and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2661 less than -1499365?\nAnswer: -1499360.7339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 1, d: 2}. What is prob of picking 1 y and 2 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - 2. Let r be ((-4)\/(-14))\/((-2)\/u). Suppose -s + r = s. Which is the third biggest value? (a) -5 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 2. Let o be l(0). What is the third derivative of -332*b**4 - 2*b**2 + 331*b**4 + 9*b**o wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y - 71*y = -368 - 1212. Let x(r) = -r**3 + 9*r**2 + 7*r - 11. What is x(y)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + -21 - (-19 + (-19 - -22)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011675079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166619\/121 + 1377. Is 1 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -866, -1688, -2510?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 1611835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 9 - (-1 + -5 + 2 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 423*m**2*o**2 + 4*m*o**3 - 1114*o**3 + o**2 - 2 wrt m?\nAnswer: 846*m*o**2 + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39308.933 + -66.5.\nAnswer: 39242.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*w**4 + 227*w**3 + 6 + 3*w - 3*w**4 - 228*w**3 to the form f*w + d*w**3 + k*w**2 + q + p*w**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u - 2*u**2 + 0*u**2 + 4*u - 17*u - 6. Let v be c(-9). Calculate the common denominator of 3\/24*(-154)\/v and -31\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*s - 10 = 0, 2*i + 31*s - 29*s = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 5. Determine y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9225591 rounded to 2 decimal places?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -106. Suppose -2*t - i + 6 + 10 = 0, -3*i + 6 = 0. Sort -2, t, o in increasing order.\nAnswer: o, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0883 - -12.2517. Let i = -0.04 + v. Let d = -12.299913 + i. What is d rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 + 157 - 41)*(3*d - 6*d - 4*d).\nAnswer: -1568*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 3\/(-6) - (-2)\/4. Solve -5 = w*p - p, -14 = -3*j + 4*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6091317217989 + 1.\nAnswer: -6091317217988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*t = 26, -4*t - 8 = v - 0*t. Let n be (-6)\/4*v\/15. Determine g, given that -23*g**n + 4*g**3 + 39*g**2 + 20*g + 8 + 0*g**3 + 0*g**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 23\/4 - 57\/76. Suppose -5*x + 363 = -2*a, -24*x + c*a - 51 = -25*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 11*h**2 + h - 8. Let v be d(11). Let o be (-1 - -2)*66\/v. Let r = -10 + o. Solve 3*i = -i + r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*u - 1 + 14 = 0, 0 = 4*r + 3*u + 32. Put r, -297, 2 in decreasing order.\nAnswer: 2, r, -297","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 36*w**2 - 13*w + 2. Suppose 0 = -0*u - u + 2*b - 4, -2*u = -5*b + 11. Does 5 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (3 - (-40)\/(-12))\/((-133)\/8448825)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 - -23 - (656 + -635)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 - (-13)\/2. Suppose -i*c + 126 = -2*c. List the prime factors of -1*c\/(-2) + 2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 4, z: 2}. Give prob of sequence uuz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1447 - 242871212820\nAnswer: -242871214267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 13808196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l + 3*l + 21*l**2 - 11*l**2 wrt l.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 12, a: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -769a97 - 0?\nAnswer: -769a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 1080 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/13 + 23\/52. Suppose -a - 7 = y, -3*y - 3 = -4*y + a. What is the second smallest value in -0.13, y, m, 5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 7. Let p = -18.6 - 75.4. Let a = p + 91. What is the third smallest value in m, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/22 (b) 7.9 (c) 6621\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 20 + 98. Suppose 3*u - 34 + 14 = -z, 4*z = 5*u - c. Suppose -u*a + 12*a = 55. What is the remainder when 20 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.3. Let f = 8.3 - 9. Let d = f + 1. Which is the closest to -2\/3? (a) -3\/2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-12)*p*p*p\/p**(-9))\/(p**(-13)*p*p\/(p*p**(-2\/47))))**(-2\/17))**(2\/47) assuming p is positive.\nAnswer: p**(-6948\/37553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/2 of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 115 - 221 + 24*n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/65)\/((-39058)\/(-885) - 44).\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1930 - 1378. Suppose 4*x = -3*p + 320, 5*p + 0*x - i = -2*x. Suppose 7*d = 3*d + p. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/15 in 0.4, 5, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 368280593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 5}. What is prob of sequence wyy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1007147006 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzvo when four letters picked without replacement from {d: 2, n: 1, o: 2, u: 6, v: 1, z: 3}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.4 (c) 3\/8 (d) 5 (e) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 450.2000011827 - 450.2. Round v to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -36.4.\nAnswer: 145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1344, 1375, 1394, 1395, 1372, 1319, 1230?\n\"Answer: -x**3 + 38*x + 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 792\/(-32)*(-8)\/(-2). Let o be r\/(-27) + (-2)\/3. What is v in -2*v - v**2 - o + 6*v + 1 - v**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (178\/890)\/(8\/(-28)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156780890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + w**2 + 11. Let u(j) = 12*j - 1. Let s be u(1). Let g be 2\/11 - 2\/s. Let a be k(g). Solve -a = -4*c + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 630*p**3 - 4090*p + 14424908 wrt p.\nAnswer: 1890*p**2 - 4090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {q: 1, g: 9, o: 2, l: 4, j: 4}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 4159855?\nAnswer: 4159863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**2 + 4*v**2 + 7*v**3 + 6*v**3 + 4. Let y(r) = 9*r**3 - 5*r**2 + 3. Let l(m) = 50*m + 1755. Let i be l(-35). Give i*f(a) - 7*y(a).\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2908 divided by -201\nAnswer: 2908\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16647911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from kkkxxxx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9278634 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, c: 2, z: 3, w: 2}. Give prob of picking 1 m, 1 z, and 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -4 (c) -2\/645 (d) -0.3 (e) 2\/13 (f) 3\/8 (g) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 8)*(0*j - 2*j + 6*j).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -0.1. Let f = 0.21 - 0.69. Let n = 0.68 + f. Put 4, d, n in decreasing order.\nAnswer: 4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 32*c**2 + 9*c + 8 + 20*c**3 - 10*c - 29*c**2. Is h(3) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -14\/13*y**3 - 16 + 1\/130*y**5 - 61\/156*y**4 + 0*y + 4*y**2. Factor u(b).\nAnswer: 2*(b - 21)*(3*b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7029, 14074, 21133, 28212, 35317, 42454, 49629?\n\"Answer: f**3 + f**2 + 7035*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2164 or -2162?\nAnswer: -2164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/6*6\/(-4). Let v = -4649 - -4649. Solve x*g = -4*b - v*g - 6, 2 = 2*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 948064.8 kilograms?\nAnswer: 948064800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 9*n + 13. Is 20 a factor of a(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2808538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/103 + -672\/1957. Let u = -34\/171 - l. Let v = -1113284\/7 - -159040. Which is the nearest to v? (a) -0.4 (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -b + 354126, 3*b = -g + 285057 + 777286. Suppose 7*d - b + 47677 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by 240?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-4\/11)*(f**(-2\/3))**(-33))\/(((f*f**(-4\/3)\/f)\/f)\/f*f**(-4))**(-26) assuming f is positive.\nAnswer: f**(-5554\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + t - 7*t + 0*t + (3 + 3 - 5)*(-5 + 5*t + 5) - 34 + 5*t + 34 in the form q*t + c and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17813452*d**2 + 17813464*d**2 - 35626919*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1494 and 830?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 72100000 to the nearest one million.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77765688 and 267696?\nAnswer: 155531376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a microsecond in nanoseconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 7*b**2 + 4*b - 8. Let d be t(-6). Let s(p) = p**3 - 2*p**2 - d + 4. Let u(n) = -2*n**3 + 5*n**2. Determine 5*s(i) + 2*u(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.262347 milligrams in kilograms?\nAnswer: 0.000005262347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39167508*o**4 + 4479084.\nAnswer: -156670032*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32884432.\nAnswer: 2, 7, 89, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 651885.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -95. What is the remainder when 153 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r - 61. Let g be c(-8). Suppose -4*b + 2*t - 88 = 0, -g*t = 3*b + 2*t + 66. Is 2 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2524 + 441?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t - 195. Let j be o(0). Let q = j + 308. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 > 1236\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Suppose -a*x + 7 = -9. Factor 0*m**2 + 0 - 1\/3*m**5 + 0*m**3 + 0*m - 1\/3*m**x.\nAnswer: -m**4*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 31*k**4\/4 - k**3 - 5*k**2\/2 + 2*k - 8. Is y(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/72)\/((-1)\/3). Suppose 5*z - 14 = -4. Let m(u) = z*u + u + t*u. Let d(v) = 3*v**2. What is m(d(f))?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -928080*o**2. Let l(n) = -3*n. Determine l(m(h)).\nAnswer: 2784240*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -5*n**7\/42 + n**3 - 31*n**2\/2 - 13. Let d(x) be the second derivative of o(x). Find the first derivative of d(i) wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/379? (a) 3\/7 (b) -6 (c) -4 (d) -13.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64306)\/20*(-42)\/4968*15. Let d = x + -1223\/3. Find the common denominator of 57\/16 and d.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 24*t**2 + 136*t + 56. Let c be n(14). What is the nearest to c in 4, -0.4, -3, 1\/2614?\nAnswer: 1\/2614","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 23*c + 16. Let y be b(-11). Sort -4, 0, y, -5.\nAnswer: -5, -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -14001133?\nAnswer: 14001140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 - 5 = 0. Suppose 4*v + 3*a + a = 8, 3*a = q*v + 27. Let x be -9000*-23*10\/v. What is x rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {h: 8, j: 1, f: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93)\/(-15) + (-4)\/20. Let w(x) = 9*x - 50. Let a be w(n). Suppose a*q + 69 - 226 = y, -2*y = -2*q + 86. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 22 = 29. Let y = 66 - k. Let b = 24 + y. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 2. Let f be z(5). Let v = -0.0429471 - 0.1570529. Which is the closest to -1? (a) v (b) -27\/4 (c) f (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*s**3 + 6327*s + 25774.\nAnswer: -9*s**2 + 6327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -19 + -4 + -2 - (41 + -32)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*a - 31. Let l(i) = i**3 - 9*i**2 + 16*i + 14. Let d be l(a). Suppose 0 - 2\/5*u**3 + 1\/5*u - 1\/5*u**d = 0. What is u?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (88\/(-24))\/((-2)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18588 + -5?\nAnswer: -18591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104098815 divided by -45.\nAnswer: -2313307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 600 = -569. Calculate the remainder when g is divided by 47.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1 - 1 - u**2 - 7*u**2 - 5 - 9*u. Let h(j) = -j**2 - j - 1. What is -6*h(d) + l(d)?\nAnswer: -2*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884 + 6*v**2 + 5*v**2 + 10 + 5*v**2.\nAnswer: 16*v**2 + 894","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -9. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82161 divided by -179\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195002.\nAnswer: 2, 97501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5866404 to the nearest 10000.\nAnswer: -5870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**6\/30 - 17*s**5\/20 + 19*s**4\/4 - 59*s**3\/6 + 10*s**2 + 266*s + 3. Find w such that y(w) = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 9*r + 3*r)*(-15*r + 11*r + 29*r) + (-r + 8*r + 26*r)*(2*r + 3*r + 2 - 4*r).\nAnswer: -192*r**2 + 66*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60331027 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*o + 220, 4*k = 3*o - o + 176. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(114) + (sqrt(114) - (sqrt(114)*-1 - sqrt(114))) + sqrt(114))\/sqrt(6) + ((sqrt(190)\/sqrt(10) - sqrt(19))*-1 - sqrt(19))))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 4, o: 2, k: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32.8263ml?\nAnswer: 0.0328263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:55 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 3257?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 2*u. Suppose -8*m = -4*m - 4*i + 24, -4*m - 4*i = -8. Let c be k(m). Let y = 63 - -1. What is the greatest common divisor of y and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 2.85841.\nAnswer: 7.85841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2379 - -2380. Let m be 382\/(-18) - ((-260)\/36 + 7). Sort m, -2\/19, c, 2 in decreasing order.\nAnswer: 2, c, -2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-50))\/(5\/((-50)\/(-6))). Let s be (-2)\/(-7) - 26\/(-7). What is the nearest to 0.2 in -0.4, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31055050 and 37266060.\nAnswer: 186330300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 14 in decreasing order.\nAnswer: 14, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3599 and -328.\nAnswer: -1180472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**12\/g)\/g)**(-5\/6)*(g*g\/g**(-5\/3))**(6\/17) assuming g is positive.\nAnswer: g**(-359\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let p be g(2). Suppose p - 4 = -n. Differentiate -4*y**n + 2*y**3 - 3 + 6*y**3 with respect to y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3889*s**3 + 7*s**2 + 6*s + 18. Let u(v) = 7778*v**3 - 13*v**2 - 11*v - 33. What is -11*b(d) - 6*u(d)?\nAnswer: -3889*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 38*w**2 + 99*w. Give r(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(1\/7)))\/d*d)**48\/(d\/((d*(d*d**20*d)\/d)\/d)*d)**30 assuming d is positive.\nAnswer: d**(3942\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, -18, -87, -174, -273, -378?\n\"Answer: f**3 - 18*f**2 + 2*f + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -524325?\nAnswer: -524326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(528))\/sqrt(11)*2.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11516091 (base 10) to base 3\nAnswer: 210200002002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2 + 0 + 2*o + 3*o**2 + 3*o. Does 20 divide d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 5) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95.7 - -104. Let i = -9 + z. Let x = -0.3 + i. What is the third smallest value in x, -1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (3 - (88 + -36))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*-2*(-3)\/(-30). Suppose -23 = -4*n + t - k, 14 = 4*n + 3*t. Find the second derivative of -q - 3*q**5 - 4*q**3 + 4*q**3 + 2*q**n wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23659568 and 544?\nAnswer: 804425312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 2. Let c be d(-2). Let f = 4 + c. What is the units digit of 12\/5 + f\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.001 - -0.115. Let o = 4.114 - n. What is the closest to -1\/4 in 2, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*(-2121)\/(-19089)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1503152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150*f*v - 3*f*x**3 - 149*f - v*x**3 - x + 1 wrt v.\nAnswer: 150*f - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 817947\nAnswer: 408973.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = -v, 5*n + 6 = 7*n - 2*v. Let r = 3676\/9 + -408. Sort n, 0.4, r in ascending order.\nAnswer: 0.4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, g: 1, m: 2, v: 7, r: 7}. Give prob of sequence xmx.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6241*j**2\/6 + 252326*j\/3 - 5100818\/3 = 0. Calculate j.\nAnswer: 3194\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2 + 6. Suppose 3*z - 35 + 35 = 0. What is the remainder when 29 is divided by l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 72*z**2 + 1192*z + 892. What is c(86)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(54\/45)*-4. Is 1263 + a + (-28)\/(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150885 years in millennia?\nAnswer: 0.000150885","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(-1*-1*sqrt(1053) - (-1 + sqrt(1053) + -3))*-6)**2.\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -201, -106, -9, 90, 191?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 75*q**2 - 532*q + 266. Give j(-67).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 976.83003.\nAnswer: -977.43003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -49. Which is greater: -9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2)*(1 + 0). Let l be ((-48)\/(-32))\/((-1)\/(-2)). Suppose -l*g + 2*g = b. Solve 2*i = -3*v, -2*v = -g*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17*k. Let i = 9 - 4. Let d = i + -4. Does 11 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5153088, 5153086, 5153084, 5153082, 5153080, 5153078?\n\"Answer: -2*d + 5153090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 14*k**2 + 18*k - 43. Let g be t(15). Let l(z) be the third derivative of 0*z - 1\/6*z**4 + 3*z**2 + 0 - 1\/6*z**3. What is l(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t + 8. Give y(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/6*2556\/1491?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(30)\/((sqrt(24) - sqrt(6))*6))**2 - (-1 + sqrt(605) + 4))*-4.\nAnswer: 206\/3 + 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.25 (c) 3\/5 (d) -1\/53 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + 299\/65. Solve 2*r = n + 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 + 3 = -3*c, 3*m + 2*c = 6. Solve 2*a + m - 8 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8450748, 16901496, 25352244, 33802992?\nAnswer: 42253740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2633, 5304, 7977, 10652, 13329, 16008?\n\"Answer: d**2 + 2668*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 310?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -539 by -810.\nAnswer: 539\/810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:44 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldfjffffdffkfxfff. What is prob of sequence ljfd?\nAnswer: 11\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2414*d - 18 = -2409*d, -5*h - 2 = -2*d + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(0 - (-1)\/(-2)). Which is the third smallest value? (a) 0.12 (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -131*n - 66 + 0*n**3 - 79\/4*n**4 + 0*n**2. Differentiate r(t) wrt t.\nAnswer: -237*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.17*0.05\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by 384.\nAnswer: 33\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2121 + 4?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -100\/91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -390*d**4 - 442*d**4 + 759*d**4 + (3*d**2 - d**2 - d**2)*(d**2 - d + d) + (-2*d**4 + 0 + 2 + d**4)*(4 - 4 - 2) - d**4 - 1 + 1.\nAnswer: -71*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.5 (c) -15\/7 (d) 1 (e) -5060\/9 (f) 0.2 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 y, and 2 l when four letters picked without replacement from llydlcdcylll?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*a + 48 = -0*a, 5*a = 20. Let i = -4 + d. Suppose 2*j + 0*b = -3*b + 158, i*b - 10 = 0. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 - -2?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -4)\/((-4)\/(-22)). Let t(w) = -50*w + 3. Is t(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 11 + 12 + 50*f**3 + 17.\nAnswer: 50*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1224 + 2127?\nAnswer: 334b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let v be ((-21)\/(-6) + 1)*6*-3. Let b = v + 83. Let x(p) = 616*p - 616*p - 29*p**b. Calculate x(f(u)).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j + 510. Let s be g(-49). Sort s, 0, 5, -5 in increasing order.\nAnswer: -5, 0, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-164 + 466 + 809)*(-2*d**2 + 3 - 3) to the form b*d**2 + i*d + o and give b.\nAnswer: -2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1.4 (b) -1\/3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8546 + -5?\nAnswer: -8552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54353515.703 and 3.\nAnswer: -54353512.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-14 - (-13 + 38 + -19 + 7)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31130 is divided by 94?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 11339133 - 14369983 + 6407407 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242599 is divided by 902.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 1203089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**5\/30 + v**4\/18 - 9*v. Factor i(l).\nAnswer: -2*l**2*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 10:04 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 12) in base 9?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3210284 and 351967.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -107, -121, -143, -167, -187, -197, -191, -163?\n\"Answer: m**3 - 10*m**2 + 9*m - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -35*d**2 + 20358*d + 6992. Give y(582).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4066 + 1561 = 331*x. Solve l + x*f = 16*f + 4, 0 = 2*l - 2*f + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123203 divided by -15?\nAnswer: 123203\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 20, 8\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 533\nAnswer: -4\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -33, -4, 37, 90, 155, 232?\n\"Answer: 6*f**2 - f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-30) + 4\/(-30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374116444 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 4. Let r(p) = -125*p - 22. Calculate -5*n(w) - r(w).\nAnswer: 135*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**2 + 11*c - 1 - c**2 - 10*c. Let j be p(1). Suppose 0*r + 18 = -2*r - 3*w, 2*r - 6 = 3*w. Put j, 0, r in descending order.\nAnswer: j, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/((-25)\/45)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571176, 2284859, 5141042, 9139725, 14280908, 20564591?\nAnswer: 27990774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45957 is divided by 266?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - -6*sqrt(20)\/sqrt(4)) + sqrt(5) + 6*2*sqrt(5))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o. Let h(s) = -1 - 6*s**2 + 7*s**2 + o. What is the remainder when 29 is divided by h(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 272520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56543203 + 55.7?\nAnswer: 56543258.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(132)*-4)\/(sqrt(3) + (2*sqrt(3)*-1 - sqrt(3))))**2 + -3.\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-13))\/(25\/((-1275)\/34))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -10) + -3 + 72 + (-2 - 7).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/80 + u**4\/24 - u**3\/24 - u**2\/4 - 463*u. Solve q(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 f when three letters picked without replacement from {f: 7, z: 2, l: 6}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-181275)\/(-20)*(-12)\/(-10). Let s = -10675 + p. Let m = 218 - s. What is the common denominator of m and 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-64)\/28)\/4 - 4586\/(-14).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1434 - 1.8566. What is the nearest to 5 in -1.659, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5124273 and -47\/27484737?\nAnswer: 302332107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104490192?\nAnswer: 2, 3, 139, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 114 - -1016?\nAnswer: 112a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157 = 19*k - 71*k - 37*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -47?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 136. Let m(l) = -5*l - 6. What is t(m(w))?\nAnswer: -25*w**2 - 60*w + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 20.43.\nAnswer: -20.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 37967727.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 20, 2*m = 5*v - 33 + 117. Let w be (44 + 0)*1\/4. Let d = w + m. Calculate the greatest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 9. Suppose 0 = 5*s + 4*r - 3*r - 94, s - 14 = r. What is the greatest common factor of l and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 17*w**2 - 15*w - 16. Let l be u(16). Suppose -2*j + 0*x + 3*x + 3 = l, 2*j + 4*x = 10. What is the greatest common factor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 15*c**2 + c + 11. Let r(o) = -4*o**2 - 3. Let i(v) = 5*v**2 - 10*v - 9. Let z be i(-1). Determine z*g(l) + 22*r(l).\nAnswer: 2*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + m = 0, 9 = -5*j - 4*m + 6*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/24 - 46\/12. Does 10 divide 3\/(-6) - 74\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g + 1. Suppose 0 = -f - w - 8, 2*f + 1483*w - 1485*w = 12. Let b(k) = 3*k**2 + k - 21. What is f*b(x) + 2*v(x)?\nAnswer: -x**2 + x + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2864254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 5}. What is prob of sequence aass?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(9\/4))**(6\/17)\/(t**(-28)\/t**(1\/10)) assuming t is positive.\nAnswer: t**(2456\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*d**3*t + 2*c**3*d*t - 1568*c*d**3*t - 2*c*d*t - 2*c + d**2*t + 8*d*t wrt d?\nAnswer: 6*c**3*d*t - 9408*c*d*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (11 + (-6 + 2 - 2) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 4, 1, -42 in ascending order.\nAnswer: -42, 1, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*g, 2*g - 9 = -5*h + 12. Suppose -7*t + 428 = -g*t. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/11)\/(y\/(y*y*y*y**(-6)*y*y)))\/(y*y**(1\/2))**47 assuming y is positive.\nAnswer: y**(-1583\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438817449 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-13)*x)\/x*x**(20\/7))\/(x**(4\/7)\/(x*x**(-24))) assuming x is positive.\nAnswer: x**(-229\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-10)\/(-15) + 33\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = -5*h - 67. Let s = -59 - h. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b - 2*b - 4*b. Let q(h) = -2*h**2 + 4*h - 4. Let r(o) = o - 1. Let m(d) = q(d) - 4*r(d). Give u(m(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374285*c**3 - 869*c**2 - 294?\nAnswer: 2245710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ifxxfff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + -2*(sqrt(245) + 1) + ((-1*sqrt(245) + sqrt(245) - sqrt(245)) + 4 - (sqrt(245) + 1*(2 + sqrt(245)) + sqrt(245)))))**2.\nAnswer: 756*sqrt(5) + 79389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 + -2314 - (-1 - (3 + 2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 84. Suppose -3*n + 5*l = 6*l - 17, x*n = l + 23. Solve r = -4*r + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 57, -1.\nAnswer: -1, 40, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -275*u + 3. Let b(l) = -69*l + 1. What is 9*b(q) - 2*i(q)?\nAnswer: -71*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 4) + (-26)\/(-429)*(-8166)\/(-18). Let v be 1 + (-794)\/396 + 1. Let p = k - v. What is the common denominator of p and -81\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 - 6. Let c(o) = -63*o**3 - 9*o**2 - 312*o - 17. Let z(h) = -c(h) + 3*d(h). Find the second derivative of z(t) wrt t.\nAnswer: 360*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101110011000 - 100101?\nAnswer: 110101101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 21348 + 2890. Suppose 896 = 26*v - m. What is the smallest common multiple of v and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**5 - 9*w**3 - 13*w - 9. Let g(r) = 2*r**3 + 3*r + 2. Let y = 1 - 10. Let p(b) = y*g(b) - 2*f(b). Find the second derivative of p(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:35 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 866807 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 + -2473\/15. Let n = 37.1 + -34. Let o = n + -3.1. Which is the second smallest value? (a) 3\/8 (b) -2 (c) o (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16351355 (base 7) to base 16\nAnswer: -184c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 77*t - 260*t - 624. Sort 3, 2, 5, t.\nAnswer: t, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.489257km?\nAnswer: 489257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 3. Let q be n(-5). Let j = -1 - 1. Let a(i) = i**2 - 8*i + 8. Let f be a(6). Sort f, q, j in descending order.\nAnswer: q, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, 34, -3, 555, 1.\nAnswer: -5, -3, 1, 2, 5, 34, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.6 - -13. Sort c, 0, 11 in ascending order.\nAnswer: 0, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19677*d + 19681*d = -32 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-884)\/(-12) + ((-250)\/150)\/(4*15\/(-48)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2886265823 to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 6*v. Calculate q(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -117801, -65, 3 in ascending order.\nAnswer: -117801, -65, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 383917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*l**4\/5 - 4316*l**3\/5 - 294792*l**2\/5 - 500624*l\/5 + 143648\/5 = 0. What is l?\nAnswer: -134, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3)*(105\/10)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 - 17 = 0. Is (-324)\/45*d\/(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134733558 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 + 776 - 743 - 46*p + 49*p)*(0 - 2*p + 0)*(2*p - 3*p + 4*p).\nAnswer: -60*p**4 - 18*p**3 - 198*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4823, 10136, 15591, 21260, 27215, 33528, 40271, 47516?\n\"Answer: 12*d**3 - d**2 + 5232*d - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4868 = 4*p + a, -434 = -4*p - 5*a + 4418. Calculate the highest common factor of 42 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.021 - 0.02. Let g = p - -0.101. Which is the third smallest value? (a) g (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 2, o: 6, l: 5, z: 1}. Give prob of sequence ooll.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:31 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 2*m + 2. Let w = -16 - -14. Let q(y) = y**2 - 3*y + 3. Let a(i) = w*q(i) + 3*v(i). Find x, given that a(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 10:27 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -34?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14210 and 525190.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46318, -92623, -138928, -185233, -231538?\nAnswer: -277843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*y + 2*g, -y = -1166*g + 1171*g - 16. Solve 2*f - 21*x = -18*x - y, 0 = 3*f - 4*x + 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81946 is divided by 404.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 38827*b - 2631019. Calculate r(68).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8269 rounded to 2 decimal places?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3036 = 100*y - 64 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45.9 and 1.\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 331626186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2362721*i**4 - 2*i**2*m**3 + 3*m**3 + 35*m - 259 wrt i?\nAnswer: -9450884*i**3 - 4*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -2*r**3\/15 - 4998*r**2\/5 - 12490002*r\/5 + 12282. Determine o, given that k(o) = 0.\nAnswer: -2499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*n + 15, 45713*j - 3*n = 45717*j - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 5*z - 2. Suppose 0*f + 24 = 2*f. Let h = f - 8. Let r be d(h). Solve 5*j - r*j + 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -773, -5, 0, -4 in ascending order.\nAnswer: -773, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237829?\nAnswer: 29, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 15 (b) 234 (c) 2\/9 (d) 3 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 258? (a) -20 (b) -2 (c) 79 (d) -17 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737 a factor of 8422713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181 - 101. What is the greatest common factor of j and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((44\/(-14))\/((-647)\/4529))\/(2\/3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1649\/126 + 115\/9. Find the common denominator of 79\/12 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 586, -117, 2, 85, 1.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4373.\nAnswer: 5\/4373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 4*y + y)*(-1 - 6 + 0 + 1 + 1 - 1 + (1 + 4 - 6)*(-1 + 0 - 1) - 3 + 1 + 4 + 2 + 2 - 2 + 0 - 3 + 0) + (-7 + 2 + 3)*(4*y + 0*y - 5*y).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {u: 1, t: 8, y: 1, n: 2, i: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 0 (c) 2\/11 (d) -3\/25 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5204.00013332 - 5204. What is g rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 + 8*m. Let k(r) = -5*r**2 + 9*r. Calculate 6*k(b) - 7*v(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*-10*5\/((-100)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -0.4, 1.3, 147764 in ascending order.\nAnswer: -2, -0.4, -0.2, 1.3, 147764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 621*v + 622.\nAnswer: -(v - 622)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = z + 11, 2*z + 14 = 5*g - 6. Let h be (-4 + g)\/(3\/(-9)). Find the third derivative of 4*k**6 - 4*k**6 + 11*k**2 - k**h - 3*k**2 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + -2)**2*3.\nAnswer: -12*sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Let v = 3 - 2. What is the smallest common multiple of h\/8*(-4)\/(-2) and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-33350)\/69. What is the highest common factor of 44 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 3*v**4\/4 + v**3\/3 + 9*v**2\/2 - 3*v + 3. Let g(f) be the first derivative of w(f). Is g(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1453 - 49?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 55335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:42 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.1 (b) -3 (c) -11.25 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8444, -8484, -8552, -8648?\n\"Answer: -14*j**2 + 2*j - 8432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(3\/11)*a)*a**(1\/7)*a**(-4\/9)\/(a**14\/a) assuming a is positive.\nAnswer: a**(-9407\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -491 - -761. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 16, 3\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1322 + -1345. What is the second biggest value in b, 2\/5, 0, 1\/3, 2\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-12\/7)*q)\/(q*q\/((((q\/(q\/q**(1\/37)))\/q)\/q)\/q)))\/(q\/(q*((q\/(q**6\/q))\/q*q)\/q))**(2\/59))**(-2\/13) assuming q is positive.\nAnswer: q**(13086\/198653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 118\/(-80) + (-240)\/(-150). Let z = -3.9 - -4. What is the fourth biggest value in -2, z, j, -0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - o**3 + 2*o**3)*(-o + 0*o - 5*o) + (-3 + 3 + 2)*(-53*o**4 + 61*o**4 + 77*o**4).\nAnswer: 164*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1681845285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**5 - 330*n**3 + 3*n**2 + 5*n + 186. Let h(l) = -l**5 + l**3 - l**2 - l. Let r(b) = a(b) + 3*h(b). What is the second derivative of r(o) wrt o?\nAnswer: 60*o**3 - 1962*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1 + 2 - a + 2*a. Let t(w) = -2*w + 1 - 4 - 3*w + 2*w. Let p(q) = q**2 + 2. Let g be p(0). What is g*t(x) + 4*o(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -62*l**3 + 2*l**2 + 4*l + 5. Let n = -215 + 211. Is y(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19995457 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 - -268. Sort m, -2, 0 in descending order.\nAnswer: m, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3335 - -409. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2\/4 + 83379*g\/4 - 14390541\/2 = 0?\nAnswer: -28134, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21)*-1*1 + sqrt(84)*-4))\/((sqrt(343) + sqrt(343) + (6*(sqrt(343) - sqrt(343)*5) - sqrt(343)) + sqrt(343))*6).\nAnswer: -3*sqrt(3)\/308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12558*z = -13789*z + 35699 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*u**2 + 2*u - 1225*u**2 - 3*u**3 + 5*u**3.\nAnswer: 2*u**3 - 1657*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 353340 and 431860.\nAnswer: 3886740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1118092 divided by 12\nAnswer: 279523\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 165*s + 580.\nAnswer: 5*(s + 4)*(s + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 381 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -96531119 to the nearest 100000.\nAnswer: -96500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:09 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.9, 2, -3, 1, 73541?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/5*s**3 - 13\/5*s**2 + 0 + 2*s - 2\/5*s**4.\nAnswer: -s*(s + 2)*(s + 5)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 563 = -6037. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i = -63*i - 57 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3408*b. Let u(o) = -2*o**2. Calculate u(i(k)).\nAnswer: -23228928*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 8. Let i be v(-6). Suppose 0*g - o = 4*g - i, 8 = -2*g + 4*o. Suppose -d + 3*d = -g*a, -a = 0. Let r(c) = c**2 - 1. Determine r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 800769 - 800767. Solve 3\/7*c**b + 30\/7 - 33\/7*c = 0 for c.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240171, 480240, 720235, 960156?\nAnswer: 1200003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - 0.7. Let y be (-1*(2 - 3))\/1. Let w = 135 - 134.9. Which is the smallest value? (a) w (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 6) to base 7\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*p - 88*p + 26*p - 6*p**3 - p**3 + 3*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 0, 3*t = m - 0*t - 20. Suppose m*b = 13*b + 21. Solve b*v = u - 5*u + 11, 5 = u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 338, 513, 688, 863?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5768.142 weeks to hours.\nAnswer: 969047.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1) + 0)\/1. Let i(u) = 3*u + 1. Let j be i(y). Calculate the common denominator of (j\/4)\/((-3)\/38) and -63\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8505*i**4*z - 2*z - 464 with respect to i.\nAnswer: -34020*i**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 21*x + 46. Does 5 divide q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 3 (c) 0.9 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f + 2. Let r be b(2). Suppose -4*a + 1 + 3 = r. Suppose 0 = z - a - 5. Solve z + 9 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 106970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011000100000 + -1100100?\nAnswer: 11010110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Let n be 11 + -7 + (q - 3). Solve -n*a - 5 + 11 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = 2*b, -12 = -3*b - 0*b - 3*h. Suppose 0 = -3*q + 5*z - 0*z + 34, q = b*z + 13. Factor 1\/4*c**q + 1\/2*c**2 + 0 + 1\/4*c.\nAnswer: c*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 - ((-15)\/3 + 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 - 4*l - 25. Let m = 9233 - 9239. Calculate r(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57576?\nAnswer: 2, 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 6*r**2 + 6. Let b = 0 - -6. What is the units digit of j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2916677, 5833346, 8749995, 11666624, 14583233, 17499822?\n\"Answer: -10*k**2 + 2916699*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/92*((-44)\/88)\/((-1)\/(-80))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131421223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644 by -124.\nAnswer: -161\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/(-12))*1. Suppose -5*v = -11 - 4. Suppose -5*a = -5*s - 35, -6 = -2*a - 3*s - 7. Put a, v, k in descending order.\nAnswer: a, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 3*k - 2*k + 8)*(5*k**2 - 2*k**2 - k**2) - 36*k + 409*k**3 - 3*k**2 - 821*k**3 + 411*k**3 to the form q*k + j*k**2 + p*k**3 + z and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 22*u + 18*u. Suppose -11*z - 4*z + 12960 = u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*v - 1642, 0 = 4*v + v - 3*l - 2730. Suppose -v = -68*q + 65*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8485223031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3993.9 to the nearest 10.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-2*x + 10*x + 0*x)*(1 + 1 - 3).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 + -170. What is the third biggest value in 0.3, 0.4, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obboiobzbbiiici. What is prob of sequence ibi?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -98. Solve -f*q = -0*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95731 or 95891?\nAnswer: 95891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = 7*y - 274 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 11*x + 100 = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**4 + 2*x**3 + x. Let g(k) = -4*k**4 + 20*k**3 - k**2 + 5*k + 13. Let b(r) = g(r) - 5*z(r). Find the third derivative of b(n) wrt n.\nAnswer: 24*n + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 3839956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -408. Let q = -1017\/5 - w. Suppose 4*u + 16 = 0, 5*u + 31 = 5*o + 6. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3057708 nanoseconds?\nAnswer: 0.0000003057708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 16, 2*t - 1 = 3*z - 8. Calculate the least common multiple of z and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**13*t*(t\/(t\/(t**(-1\/2)\/t))*t)\/t*(t\/(t\/(t\/(t**12\/t))))\/t*t\/((t**(-20)*t)\/t) assuming t is positive.\nAnswer: t**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 + 599. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -28. Suppose -6*f + 7 = -s. What is the second derivative of 6*o - o + f*o - 14*o**2 wrt o?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19060 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22959.63 decades in years?\nAnswer: 229596.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*q**3 + 1 + (20 - 55 - 23)*(-2*q + 2*q - 3*q**3) - q**3 + 0*q**3 - q**3.\nAnswer: 174*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/53 - -124\/159. Let o = 330 - 236.1. Let b = o - 94. What is the second smallest value in b, z, 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7812)\/217*(-42)\/(-16)*((-80)\/(-15))\/4.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1 - (-9)\/12)\/((11421\/4700)\/(-81)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 45 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 5 + (-25 - -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4595688 and 34713?\nAnswer: 611226504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 228336716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 351*n**2 - 3*n + 351 = 0. Calculate n.\nAnswer: -1, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -238, 1, -2.8, 4\/17?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336*a**5*q + 6*a**2*q + 2*q wrt a?\nAnswer: 20160*a**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 59.\nAnswer: -7\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2 = 5*n, 5*n + 14*p + 11761 = 11657 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 1, 463 in descending order.\nAnswer: 463, 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -7546\/1989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 165.6 (b) 3 (c) -0.2 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from fyyyfyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 10*v**2 - 15*v - 4. Let i be b(-8). Let z = -0.5 - 1.5. What is the third biggest value in 5, z, i, 4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*((sqrt(720) + 0)*1*5 + (3 + sqrt(720)*1 - (4 + -1 + sqrt(720) + sqrt(720)))))**2.\nAnswer: 368640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrnrlnnhzrlrllr. Give prob of sequence nrr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 0*z - 1\/2*z**2 + 20. Let t(v) = -12*v - 1. Give t(h(q)).\nAnswer: 12*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 648 = -117*w + 45 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 26*f**3 + 2*f**2 - 26*f.\nAnswer: -2*f*(f - 13)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2680*q = 21*q - 56721 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b*b**(2\/7)*b))**45\/(b\/(b*b*b*b\/b**0))**(-26) assuming b is positive.\nAnswer: b**(-951\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1 - (4 + 1). Let u be (1\/x)\/(7\/(-56)*2). Solve u*z - 6 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a second?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -2. Let h = v - 1. Let g = -5.127 - -4.127. Sort g, 0, h in descending order.\nAnswer: 0, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 less than or equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -1.1. Let y = z - 0.5. Let i = 744 - 741. Which is the nearest to -1? (a) 0 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 + 197*k - 58. Calculate u(49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*o + 1, -2*d - o + 23 - 24 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 293460 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + 693676?\nAnswer: 693715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 88 = -4*s, -3*r - 2*s = -3*s - 64. Suppose -r = -3*i - 3*w, w = -3*i - 3*w + 22. Is 75\/(-2)*i\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -956 - -1453. Calculate the remainder when l is divided by 163.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123188 is divided by 272.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110014400 - -11?\nAnswer: 110014411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 17\/74 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 638 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(18))**2 + -3.\nAnswer: -6*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -82?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-6)*1\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*k + 2*d, -4*d - d + 7 = -k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1013 = -l - 0*t, 0 = 4*l - 5*t + 4073. What is l rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 - 32 - -53) - -5\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.715 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61670387 and 229?\nAnswer: 61670387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -2*w - 4*r + 242, -3*r = 2*w - 508. What is the remainder when w is divided by 98?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 - 1136793*k**2\/2 + 323076286395*k\/2 - 969218628075\/2.\nAnswer: (k - 568395)**2*(k - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/32640 and -49\/320.\nAnswer: 32640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*p**2 + 17 - 30*p - 17 - 2*p**4 - 2*p**3 + 239*p**2 + 0*p**3 in the form d*p**2 + b*p**3 + c*p + y*p**4 + o and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 + 7*t - 5. Let y be m(-6). Let w = 66 - y. Suppose 3*n - 2*u = w + 26, u = -2. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -402?\nAnswer: -40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 7 = 43 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100859924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - -7352374?\nAnswer: 7352424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42710 - -42709.919468. What is k rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-220)\/105)*(-18)\/4. Are 0 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24569\/(-233872) + (-6)\/(-141)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -482*g - 1. Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**4 + 15*h**3 - 15*h**2 + h - 3. Let l(o) = o**4 - o**3 + o**2 + o + 1. Let a(x) = -k(x) - 3*l(x). Factor a(s).\nAnswer: 4*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970391 is divided by 242588.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + -0.02. Let w = 29683139.75999899 + -29683140. Let y = w + h. What is y rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17427 and 1.\nAnswer: 17427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 + 21 = 4*c, -3*k - 2*c + 16 = 0. Solve -15 = 3*h - 0*l - l, 5*l - 31 = k*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7248, -1\/3, -525 in ascending order.\nAnswer: -525, -1\/3, 7248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 0*l**2 - 2*l**2 + (2*l + 1 - 1)*(-l - 5*l - 3*l).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 1:55 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 574 (base 11) to base 9\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10011011001010011001001 (base 2) to base 4\nAnswer: 103121103021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 0*o - o)*(-2*o - 4 + 4) - 294*o - 93*o**2 - 2 + 294*o as w + s*o**2 + h*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 25640, -32, -1, 96 in descending order.\nAnswer: 25640, 96, -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/196 and 59\/1860.\nAnswer: 91140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 131, 9 in descending order.\nAnswer: 131, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 14*x**2 + 25*x + 267. What is the tens digit of p(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1481\/10 - -148. Let s(u) = u**3 + 1. Let v be 1*(3 + -1) + -2. Let f be s(v). Is j not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 8) to base 10\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -39)*10\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:04 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + sqrt(208) + sqrt(208)*-2) - (sqrt(325) - 1*(sqrt(325) - (sqrt(325) + 0)))*-4)**2.\nAnswer: -2000*sqrt(13) + 21425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -102103012023?\nAnswer: 102103011311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/84*2\/(-12). Determine p so that -1\/4*p**3 + 1\/2*p**2 + 0*p + 0 - 1\/2*p**4 + g*p**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 + 38 - 2*a**3 + a**4 - 3*a**2 + 45 + a in the form g*a**4 + q*a**2 + t + i*a**3 + o*a and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186.7 - 1063.7. Let i = w - -877.409. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 152000\nAnswer: -3\/152000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -795 - -793. Which is the nearest to y? (a) 2 (b) -0.3 (c) 0.2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 88*k + 5*k**3 + 88*k + 1997 + 9542.\nAnswer: 2*k**3 + 11539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 234 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 + 1.4. Which is the third biggest value? (a) o (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*c - 1160 = 0, -2 + 30 = 4*c. Calculate the greatest common factor of 54 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13332 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 904776*k**2 - 102326546490*k - 204656712100 = 0. What is k?\nAnswer: -2, 226195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 0 + 5 - 63*b**3 + 59*b**3. Let r(s) = -2*s**3 + 2. Calculate -2*q(d) + 5*r(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13262 and -963.43?\nAnswer: 12777008.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 1. Let l(t) = -8*t + 42. Calculate 3*k(f) - l(f).\nAnswer: 2*f - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -124*t**3 - 31*t + 31. Let i(s) = -21*s**3 - 5*s + 5. Calculate 31*i(v) - 5*j(v).\nAnswer: -31*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mttmtummtutmmummmum. Give prob of picking 2 u and 2 t.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**2 - 45*y. Calculate k(2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:58 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921746507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -306*s**2 + 1028*s?\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**5 - 963*t**4 - 9234*t?\nAnswer: -100*t**3 - 11556*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 398376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/9, -6289, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8850 to the nearest 100.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(1078)*3 - sqrt(1078)) - (1*sqrt(220))\/sqrt(10))\/((sqrt(160)\/sqrt(5) - sqrt(2)) + sqrt(10)\/(sqrt(10)\/sqrt(2))) + 1.\nAnswer: 1 + 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1 - 5458\/(-2534). Let n = 2\/181 - v. Let d = -0.36 + 0.06. Which is the nearest to -0.1? (a) n (b) -2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/2)\/(18\/12). Let j be (2\/(-4))\/(o\/16). Suppose -t = j*s - 174, -5*t + 161 + 13 = 2*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/(o*(o*o\/o**(4\/11))\/o*o*o))**(15\/4) assuming o is positive.\nAnswer: o**(-480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q + 34. Let b be c(-3). Let x(i) be the third derivative of 1\/12*i**4 - 1\/6*i**3 + 0 + 0*i - 2\/15*i**5 - i**2. Determine x(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10818.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 34 - 6. Let z = i - 5. Suppose 3*d = -8*s + 3*s + 44, z*s = 4*d + 2. Calculate the greatest common factor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/168 and -57\/812.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59539, 59500, 59461, 59422, 59383?\n\"Answer: -39*s + 59578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let z be (-20)\/(-6) - 7*2\/7. Let u(y) be the first derivative of 0*y**2 + 0*y - 5 + z*y**3. What is g(u(t))?\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13270 - -73. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -739 - 2508?\nAnswer: -3146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 20594, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6203*o**2 + 3102*o**2 + 3105*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.144 - 1.2081. What is y rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*c**2 + 109*c**2 - 292*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*n**3 - 263*n**3 + 77776 - 77925 wrt n?\nAnswer: -843*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 6564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-19)\/((-171)\/(-54)))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296eaa (base 16) to base 2.\nAnswer: 1010010110111010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 835 times -6294\nAnswer: -5255490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 12*x**2 - 15*x + 6. Let w be o(12). Let n = w - -3829\/22. Find the common denominator of n and 21\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*c + 46 = -2*c, -r = 5*c + 16. Let n(t) = 4*t - 23. What is the smallest common multiple of n(11) and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38911969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*i = 32 - 7, -2*v + 5*i = -24. Let f(j) = v*j**2 - j**2 - 7*j**2. Let q(p) = -4*p**2. Give q(f(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 8. Suppose 4 = p*x, -5*x + 403 = 5*t - 2*x. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -6 + -2 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*-0.23.\nAnswer: -9.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1632 by -519.\nAnswer: -544\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 68 - 28, -2*f = 4*m + 32 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - (-4 + 4 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.85 - 7. Let r = y + 5.15. Sort 0.1, 2, r in ascending order.\nAnswer: 0.1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2 - 6. Suppose 0 = y - s, 5*y - 104 = 2*z + z. Let d be z\/6*(-9)\/6. Calculate the greatest common divisor of d and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -17*j - 453. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.574439 millilitres?\nAnswer: 0.004574439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 58353931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -879472 by 46288.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0623258234 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 29968 = 6*g + 2*w, 11985 = 2*g - 3*w. Is 37 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 25. Let f = j + -1. Suppose 2*o + u - 25 = 0, -o - 4*u + 10 + 6 = 0. What is the third smallest value in f, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -45. Let v = 21.82 + y. What is v rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*v - 8 = 0, 0 = -4*v - 1 - 19. Suppose 5*w - 4*w - 80 = -3*c, 5*w - 120 = -5*c. Calculate the greatest common divisor of z and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssss. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 10. Let z be n(-8). Let p be ((-2)\/(-2))\/(2\/z). Let d = 299 + -180. What is the greatest common factor of p and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**4 + 4\/3*l**2 + 4*l**3 + 0*l + 4\/3*l**5 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stqpqqqwsqqpsqqwqwq. What is prob of picking 2 q and 1 s?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8534 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -14. Let j(t) = -t**2 - 9*t + 1. Let m be j(n). Which is the closest to m? (a) 5 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 50*n**2. Let w be m(-1). Suppose -3*l + 7*l = 3*x + 144, -2*l - 4*x + w = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 4 + (-26)\/(-4))*-2. Let p = c + 20. List the prime factors of -3 + 494\/p - (-2)\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 2, n: 2, z: 2}. What is prob of sequence kk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 250*y**2 + 3*y. Let s(z) be the third derivative of -z**5\/60 + 240*z**2 - 2*z. Give x(s(o)).\nAnswer: 250*o**4 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 123445898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u - 3*r = 3, -4*r - 9 = -3*u. Let g be 107 + 0 + u - 1. Suppose -w = -38 + g. Round w to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 470, 1056, 1876, 2930, 4218, 5740?\nAnswer: 7496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ysyysyyyyyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202310 + 10?\nAnswer: 202320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 2 + 0*o + 0*o + (-5 + 2 + 2)*(o + o + o) - 79*o - 68*o + 105*o.\nAnswer: -47*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2651 divide 2843275537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+686162940323\nAnswer: 686162940322.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 2 + 560*j**4 - 5 + 4 - 559*j**4 + 2*j to the form f*j**3 + n + x*j**2 + d*j + l*j**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4569058813 to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304302942 to the nearest integer?\nAnswer: 17444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27021716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1693315386 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 146*j = -151*j - 9, 5*j - 135 = 5*g. Let w(l) = 7*l + 236. Give w(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 12, 0 = 5*p + x - 70 - 82. Let k(g) = g**3 + 6*g**2 - 7*g + 2. Let b be k(-7). Suppose -b*v + p = 7. Is v >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43884 and 19959906.\nAnswer: 119759436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/152 - 26130\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -20*x + 11. Let q(k) = 7*k - 4. Let u(w) = 3*n(w) + 8*q(w). Let l(m) = 11*m - 2. Determine 3*l(h) + 8*u(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26617 - -10?\nAnswer: -26607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 9) to base 13.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrlccwcwlrcrtyc. What is prob of sequence wrw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458936.\nAnswer: 2, 3, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 + 7 = -4*a, 5*o = 3*a - 8. Let y = 8 + o. Suppose 3*u - q - 15 = 0, u - 5*q = 2*u + 11. Solve -u*h - 26 = -6*t + 4*t, -4*t - 8 = y*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 5*o - 5*o)*(-o + o + 2*o**2) + (-5 - 6*o + 5)*(0*o**3 - 2*o**3 + o**3) + 2*o**4 - 6*o**4 - 3*o**4 - 2*o**4 - 4 + 4.\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-140)*7\/5)\/((-65)\/(-50))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37890.037*5.\nAnswer: -189450.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 122?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4075848 divided by 3\nAnswer: 1358616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/20 - 7*q**4\/12 + 2*q**3\/3 + q. Let j be u(7). Calculate the greatest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9344423 millilitres in litres?\nAnswer: 0.0009344423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**5\/35 + 9*q**4\/14 + 29*q**3\/21 + 513*q. Factor n(a).\nAnswer: -2*a*(a + 1)*(2*a - 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.6 - -1.68.\nAnswer: 15.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c27b (base 14) in base 15?\nAnswer: 1644a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 4426*q**2 - 6*q + 6. Let m(v) = 3*v**3 + 13281*v**2 + 17*v - 17. Give 6*m(j) + 17*w(j).\nAnswer: j**3 + 4444*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053621?\nAnswer: 1039, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/10*(-670)\/(-2144)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*p + p, 0 = 2*x + 2. What is j in -2*j**2 - 3*j**2 + 3*j**p - 450 - j + 61*j = 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3474983678.\nAnswer: 2, 97, 157, 271, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from vyd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.303 (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 - 8*d - 12 = 0 for d.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2 + sqrt(110))*-4*-4*3)\/((5*sqrt(10)*2 - 1*sqrt(10)*5)*4).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*13\/(-117) - 212\/450 and -107\/10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.564 + -859.564. Let l = n + 857.9. Which is the second biggest value? (a) 12 (b) 0.02 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12846 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*1 + 0).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -24 - 10) + 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {l: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -902 + 61. Let l = 1254 + s. List the prime factors of l.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25\/17 + -639\/238. Find the common denominator of -6 - (-5 + 246\/(-24)) and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553334553514 minus -0.7?\nAnswer: 1553334553514.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 2*x**2 + x - 1. Let a = -305 - -307. Let i be m(a). What is the biggest value in 4\/21, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 30 (b) -1 (c) 6 (d) 2 (e) 3 (f) -5 (g) -512\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -857, -743, -619, -491, -365, -247, -143, -59?\n\"Answer: -c**3 + 11*c**2 + 88*c - 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309905750 to the nearest integer?\nAnswer: 17604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.7 and -0.2?\nAnswer: 5.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111222221 (base 3) in base 15?\nAnswer: -41524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435258 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62007 + -31645. List the prime factors of i.\nAnswer: 2, 17, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25769024 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8 + 5. Let g = 81 + -77.3. Let c = 3.2 - g. What is the second biggest value in 0.4, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -323 - -317. Let q(d) = -304*d + 118. What is the thousands digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/6, -15, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-h**4 - 4*h**2 + 4*h**2) - 6*h**4 + 3*h**4 + 2*h**4 - 16 + 16 + h**4 + 18.\nAnswer: 2*h**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**3 - 15*a + 16. Let b(z) = -4*z**3 - 7*z + 8. Determine -9*b(t) + 4*g(t).\nAnswer: -4*t**3 + 3*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - 1 - -40) + -105 + (2 + 4 - 2)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, p: 4, l: 1}. Give prob of sequence pmp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/6*(3 - 0). Suppose -j*l + 3*l = -v - 164, -67 = -2*l - v. What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302.6 - -302.6103. Put k, 0, 1 in increasing order.\nAnswer: 0, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 6. Determine y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/180 and -79\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949948086?\nAnswer: 2, 1847, 527869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) + -2*sqrt(110) - sqrt(110))*-5)*-2)\/(2*3*sqrt(360)).\nAnswer: -11*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 2970?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10fda (base 16) to base 9.\nAnswer: -115416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96644.63ns in seconds?\nAnswer: 0.00009664463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*o = -305*o - 231120. Calculate the highest common divisor of o and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -506\/889 + -2\/889. Let f = -28 + 27.62. Let q = f - 4.62. Which is the second smallest value? (a) q (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 656564 and 13780.\nAnswer: 42676660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5, 3*q - 84 = -a - 85. Calculate the remainder when 41 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01119 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - 150441?\nAnswer: -150413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 2*k + 2*j, 440 = 2*k + 3*k - 4*j. Let t be k\/(-120)*(-4)\/(-7). Which is the second smallest value? (a) 0.2 (b) -2 (c) t (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddld. What is prob of picking 3 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.044.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdj when three letters picked without replacement from jjjdjjjdjjjjdjjjdj?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 253590*d**2 - 9*d + 3. Let s be t(1). Suppose 4*l = -4*i - s, 0 = -4*l - i - 323091 + 69495. Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 19*q**4\/24 + 4*q**3\/3 + 9*q**2. What is the units digit of w(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3201 (base 5) in base 3?\nAnswer: -120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 215, 578, 1209, 2180?\nAnswer: 3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29345118.\nAnswer: 2, 3, 11, 444623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -36541\/13 - -2811. Determine h so that -4\/13*h + p*h**2 - 6\/13 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11021301 - -11?\nAnswer: -11021230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011000100 - 111100?\nAnswer: 10100010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = -n + 14, -3*q = 4*n - 101. Suppose -5*g = -p - 280, 5*g - 129 = 2*p + 146. Calculate the remainder when g is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose -3*c + q = -0*c. Let z be c\/3 - (-56)\/12. Let n(h) = 2*h - 7. Give n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6041785.\nAnswer: 5, 1039, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -178623, 3, -17, 0, -5.\nAnswer: -178623, -17, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 12 + 2 - (15 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -78668 divided by -277\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3509 and 16\/2871.\nAnswer: 31581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1841713 (base 9) to base 6\nAnswer: -34034533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6 - 71*z**2 + 6 + 1.\nAnswer: -71*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*r = 1715, d = -0*d - r + 430. Suppose -4*h - h = 2*t + 193, 4*t = 3*h - d. Let s = t + 253. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 - 91*j**2 + 39*j - 254. Let t be h(30). Suppose -5*z = -23 - 2. Solve -z*w + w + t = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, l: 1, z: 2, c: 2}. Give prob of picking 1 z and 1 h.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 461, 371, 281?\n\"Answer: -90*r + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170067891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 1, u: 1, r: 1, s: 2, v: 1}. Give prob of picking 1 v and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 2.01. Let g = 29 + -65. Let u be ((-6)\/g)\/((-6)\/(-8)). What is the closest to -1 in p, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t + 3. Let m be f(-3). Let p = -6 + 1. Let i = m - p. Calculate the least common multiple of i and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -1452.6 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35010.\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 1690?\nAnswer: 1690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 383294 and 830.\nAnswer: 1916470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -13 + 28 + (-2 - -3 - -21 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525981.\nAnswer: 23, 66347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474 and 358186?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + a - 2 + 2 + (-2*a - 2*a + 2*a)*(-3*a + 0*a + 4*a) + 8*a**2 + 73 - 73 - 1 + 1 - 2*a**2 in the form u*a + o + l*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1809*b**2 - 45179*b + 1149. What is l(-25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-403)\/14 + (-36)\/(-126) and 41\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 0.01 (c) 1\/8 (d) -0.4 (e) -1.166\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 28327 = 5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 113 - 65. Let a(h) = -h**3 + 11*h**2 + 14*h - 21. Let x be a(z). Solve x*i - 11 = -4*t, -4*t + 2*i + 8 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 26. Let v(d) = -19*d. Determine y(v(f)).\nAnswer: 19*f - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/8 - 12*i**2. Let s(v) = -2*v. Determine s(f(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, 8, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, -1\/4, -0.3, 7.4, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - 4.96. Sort -0.02, j, -2\/5.\nAnswer: j, -2\/5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 1. Let n = 4.9 + 0.1. What is the second smallest value in x, n, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1010620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63079 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 19*d**2 + 13*d - 9. Let z(q) = -15*q**2 - 12*q - 2. Let x(j) = 16*j**2 + 13*j + 3. Let r(n) = 6*x(n) + 7*z(n). What is 6*g(l) + 13*r(l)?\nAnswer: -3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2785, -4529, -6273, -8017?\nAnswer: -9761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 82*k**3 - 14*k**2 + 18*k + 21. What is x(-1)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6.01. Round a to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -38*x**3 - 2*x - 3. Let p(t) = -39*t**3 - 3*t - 4. Calculate -3*i(w) + 2*p(w).\nAnswer: 36*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdj when four letters picked without replacement from sqjjssjjsssssdssj.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(48)\/sqrt(8)))\/(sqrt(648)*-1).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-1\/15)\/(b**(-5)*b**(-3)) assuming b is positive.\nAnswer: b**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 6*k - 8. Let a be p(-5). Let q(g) = -g**3 - 3*g**2 + 2. Determine q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -436295*n. Let o(x) = 2*x - 22. Determine p(o(j)).\nAnswer: -872590*j + 9598490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 27*b**3 - 5*b**2 + 5*b + 5. Let h(z) = -55*z**3 + 11*z**2 - 11*z - 11. Give -5*h(t) - 11*p(t).\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 585*i**2 - 76*i - 256856?\nAnswer: 1170*i - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51\/(-30)*2 - -2. Is -2 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-4))\/(-1 + 0). What is the nearest to -1\/2 in 2, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3882 - 78. What is n rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82652 by 38.\nAnswer: 41326\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, l: 1, v: 4}. Give prob of sequence lv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34664 divided by -1238.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:11 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7676832 nanometers to micrometers.\nAnswer: 0.0007676832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let l = 79\/33 + -8\/11. Let w(k) be the first derivative of 3 + 0*k + 0*k**2 + l*k**3. What is w(u(p))?\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/15)\/y*y)\/y**(-5))**6 assuming y is positive.\nAnswer: y**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-25)*(-35)\/21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3\/2 (b) 2\/5 (c) -1\/598\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -262, 2\/9, -1, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-9)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -125, -281, -495, -761, -1073, -1425?\n\"Answer: p**3 - 35*p**2 - 58*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - x - 3 + 13, 2*p - 3*x - 18 = 0. Let i be ((-6)\/(-3*p))\/(1\/6). Solve -4*a + 9 = -j, i*j - 2*a = -0*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 1. Let v(j) = -16*j - 7. Let s = -16412 - -16417. What is s*m(b) + v(b)?\nAnswer: -21*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*s + 2, 9*z + 31*s = 30*s - 21 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7397*p**2*s + 3*p - 2*s - 2 wrt p?\nAnswer: 14794*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + (0 - 3) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05124 - -3.94876. Which is the second biggest value? (a) p (b) 0.118 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/13 + 2550*u**2 + 66294*u\/13 + 33146\/13 = 0. Calculate u.\nAnswer: -16573, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 33. Let v = 51 - k. Let n = 57\/28 + -16\/7. Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2875088093?\nAnswer: 17, 139, 1216711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 + -9 + 2*-2. Let i(k) = 4*k**2 + 8*k + 2. Let w(n) = -n**2 - n. Calculate v*w(g) + i(g).\nAnswer: g**2 + 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 15*s**2 - 31*s + 11. Let x(r) = -2 + 176*r - 170*r - 52*r**2 + 49*r**2. What is -2*g(d) - 11*x(d)?\nAnswer: 3*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 25 = -4*y, -4*y = a - 0*a - 19. Suppose y*p - 2*g - 113 = 2*g, -p + g + 22 = 0. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**3 - 6413*s**2 + 2*s + 60027?\nAnswer: -24*s - 12826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*d - 75, 3*d - 19 = 2*z - 58. Does 19 divide (-8)\/(z\/3) + 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.14, 0.4 in decreasing order.\nAnswer: 0.4, 0.14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 586 or 259845?\nAnswer: 259845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/405*(-159)\/(-212)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3000)*-1 + sqrt(30))\/((sqrt(54)*2)\/sqrt(9)).\nAnswer: -9*sqrt(5)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-594)\/330*(-1 - 13654\/6) + 0?\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h + (0 + 2 + 1)*(2*h - 4*h - h))*(-5 + 1 + 2).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xahqhqhhaqhh. Give prob of sequence axh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = -o - 4*k, -4*o + 4*k = -28. Let c be o\/10*-1*-6. Suppose -c*l = -2*l, -3*q = 3*l. What is the nearest to q in -2\/15, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/(-27))\/(3\/(-9)). Suppose -c = c. Factor 2*n - 2*n**2 + c*n**2 + 2*n**4 - n**2 - n**r.\nAnswer: n*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l + 20. Let k = -5 - l. Suppose 4*z - 3*d = -k*d + 32, -3*z + 23 = -d. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173013 and 1877448?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wog when three letters picked without replacement from {o: 1, s: 1, q: 1, w: 6, g: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 1. Let y be r(-1). Let z(n) = n**2 - 7*n - 9. Let s be z(7). Let x be 6\/(-20)*6\/s. Which is the smallest value? (a) -4 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7 + 6)*(58*w**4 - 4*w + 18*w - 57*w**4) + (2*w - w + 0*w)*(-w**3 + 2*w**2 - 2*w**2) + 0*w**4 + 0*w**4 - 2*w**4.\nAnswer: 19*w**4 + 308*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqzo when four letters picked without replacement from {z: 1, u: 1, o: 1, k: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2847\/6570 + (-6)\/10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -21 - 3. Suppose -n - 5 = -1. Let o be (-433)\/(-4) - (-1)\/n. Calculate the highest common divisor of a and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*j**4 - 31*j**3 + j - 10549 wrt j.\nAnswer: 44*j**3 - 93*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 68*x + 3. Let j be o(2). Suppose 3*g + g + l = j, -2*g - l = -71. Is g > 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 7) to base 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 49.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p - 29. Let q be k(-8). What is the greatest common factor of q and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 - 22*o - 51. Determine f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10117 + b755?\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*g + 1, -2*p = -0*p - 6. Let d(q) = q**2 + 5*q - 7. List the prime factors of d(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*y + 65, -9 = -0*y - y + c. Suppose -2*o + 0 = -h + 1, -3*o = -4*h + y. Calculate the least common multiple of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:27 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 2, j: 1, u: 2, d: 2}. Give prob of picking 1 d and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**2 + 2. Let o(u) = 20*u**2 - 5. Calculate -5*c(z) - 2*o(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + (2 + sqrt(245) - sqrt(245)) + sqrt(245))) + -4.\nAnswer: -7*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -2, 8, -12 in descending order.\nAnswer: 8, 5, -2, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2 - 5*z. Let j be o(4). Let a = j + 119. Suppose -4*r = 3*l - 4, 1 + 3 = 4*r. Which is greater: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*296.1\nAnswer: -29.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1989 and 10710.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.7 + -11.8. Which is the smallest value? (a) -3.8 (b) 0.1 (c) -3\/5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139 and 4785631?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455201991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 941, -0.3, 0.3 in increasing order.\nAnswer: -0.3, 0.3, 941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3866 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 28*j + 206. Let y be i(0). Which is the third smallest value? (a) 0.2 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 15, 21, 27?\n\"Answer: 6*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(2\/33)\/(k**(-2\/13)\/(k*k*k\/(k\/(k*k**(2\/17)*k*k))*k)))\/(k**(-2\/3)*k\/k**(-6)*k**(-1\/4)\/(k**(1\/2)*k*k)) assuming k is positive.\nAnswer: k**(76651\/29172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Suppose 0*f + 12 = 4*f. What is the tens digit of (1\/u)\/(f\/294)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -596\/197?\nAnswer: -596\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101141029 to the power of 1\/2, to the nearest integer?\nAnswer: 10057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-64)\/512)\/((-1)\/4). Let p = -1.94 + 0.14. Let w = p - -1.9. Which is the nearest to j? (a) 5\/3 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*f = -105, 0*k = -4*k - 2*f + 84. Suppose -w = -2*n - 59, 3*n - 6 = -0. What is the greatest common factor of k and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 3*j = 12*f - 7725, 0 = 4*f - 3*j - 10299. What are the prime factors of f?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -9*j**3 + 1528. Let y(z) be the second derivative of 4*z**3\/3 - z. What is u(y(o))?\nAnswer: -1728*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:16 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.1, 132, -2\/7 in increasing order.\nAnswer: -0.5, -2\/7, 0.1, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -207368535 divided by 3770337?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247590871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24001533401 + -2?\nAnswer: 24001533355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -m + 14, 2*n - 5 = -4*m + 1. Suppose 4*j - 5*j = -7. Calculate the least common multiple of j and 2\/(1\/(n\/(-1))).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/4 + 2*x**3\/3 - x**2\/2 + 6*x - 2. Let s be h(-2). Solve -3*z = s*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206\/(-156) + 2296\/1968?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*a**5 - 321*a**4 + a**2 + 3*a - 3725 wrt a?\nAnswer: -10260*a**2 - 7704*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 4*k - 6. Let i be l(5). Let x(y) = -1. Let j(t) = t**2 + 5. Let n be (-84)\/(-10) + (-2)\/5. Let g = -13 + n. What is g*x(m) + i*j(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35217845 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - h - 4 = 0, -5*q - 2*h + 3*h + 16 = 0. Suppose -4*i + q*i = 0. Solve -10 = -5*o - i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76355131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 8. Suppose 14 + 6 = y*q. Let x = 7 - 3. Which is the second biggest value? (a) q (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5032?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6*r + 44. Let t = r - 6. Suppose -t*b = -j - 2*j - 30, 4*b + j = 24. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013383 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 978.\nAnswer: 97.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i + 251 = 76 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 + 117*t**2 + 108*t - 228 = 0. What is t?\nAnswer: -38, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5181593nm?\nAnswer: 0.0005181593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*c + 2738 + 1397 = -129 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/13))\/c**7*((c\/((c*c\/(c*c**1*c*c))\/c*c))\/c)**(6\/23))\/(c**6*c*c*c*c**(-1\/2)*c\/(c*c**7)*c**(-3\/7)) assuming c is positive.\nAnswer: c**(-26773\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**2*p**2 + h**2 - 2*h*p**2 + 3*h*p + p**3 - 28*p**2 + p + 4 wrt p?\nAnswer: -20*h**2 - 4*h + 6*p - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 121*k + 4113. Let y be o(-34). Suppose 38 = 3*q + 4*c, -3*q - c = -4*c - 3. Suppose 5*a - 2*a = q. Put a, 5, y in ascending order.\nAnswer: y, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -87*(10\/6 + -2). Let k = a + -36. Let r = 32 - k. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.25286 days to minutes.\nAnswer: 127084.1184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68.986 and 37.2.\nAnswer: -2566.2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5 - 2 + x + 3. Let t be 1 - (-6 - -1) - 0. Let l be h(t). Which is bigger: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13 and -20389808528.\nAnswer: -20389808527.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 29\/27643, -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57582748 divided by 478?\nAnswer: -120466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r + 66. Let h(n) = 13*n - 66. Let u(p) = -7*p + 33. Let m(w) = 3*h(w) + 5*u(w). Let b(q) = 3*f(q) + 5*m(q). Does 14 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4284 by 9.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/12)\/((-2)\/12). Suppose -5*x + 3*x = 6. Which is the closest to y? (a) 0.1 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -16845*l**2. Let q(j) = -14*j**2. What is t(q(g))?\nAnswer: -3301620*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/4)\/(2\/(-4)). What is the third derivative of 2*r**2 - 82*r**5 + 2*r**6 + 82*r**k wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 7 - 11 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -81*l**2 - 367*l - 86. What is the remainder when o(-4) is divided by ((-3)\/(-9))\/((-3)\/(-63))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + (-33 - -106) + -114.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + (sqrt(98) - -5*(sqrt(98) + 4 + sqrt(98))**2).\nAnswer: 574*sqrt(2) + 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123519543*z - 104525850?\nAnswer: -123519543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -39*j**2. Let t(g) = g**2 - 10. Let v(f) = 11. Let c(q) = 4*t(q) + 3*v(q). Let k(m) = -2*m**2 + 3. Let p(d) = 3*c(d) + 7*k(d). Give p(n(b)).\nAnswer: -3042*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 36 = -4*u - 5*h, 24 = 5*u + h. Let w = u + -2. Let f = w + 4. Solve 2*s - 2 - f = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3478\/(-21) + (5 - 56\/12). Let w = n - -165. Let s = -0.01 - 0.99. Which is the nearest to 0.1? (a) -0.4 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.0038, -3 in decreasing order.\nAnswer: 4, -0.0038, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366724003?\nAnswer: 11777, 31139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 d, and 1 s when four letters picked without replacement from {q: 1, w: 2, d: 1, g: 1, s: 2, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 30*p + 20. Let m(r) = -r + 1. What is 20*m(u) - x(u)?\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102.7 + 161.8. Let s = 25 - j. What is s rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + 9 - 2\/8. Let v = -4 - -3. Put v, g, -0.4 in ascending order.\nAnswer: v, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4063 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255460?\nAnswer: 2, 5, 62773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9471 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 17, 49, 105, 191, 313, 477?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 4. Suppose 2*i + 20 = 4*o, 3*o - 25 = 5*i + 11. Calculate the smallest common multiple of l(i) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 26*g**4 + 4 + g**2 - 29*g**4 + 77*g**4 - g in the form w*g**3 + k*g**4 + h*g + d*g**2 + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 less than 29?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 n, and 1 a when four letters picked without replacement from abnbbbnbbnbnaabnn?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let s(h) be the first derivative of v*h**3 - 1 + 1\/8*h**6 - 5\/8*h**2 - 1\/2*h + 1\/2*h**5 + 5\/8*h**4. Factor s(p).\nAnswer: (p + 1)**4*(3*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14746 - -14910. Solve -u = 25*p - 239 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -345*l**4*n + 200679*l**4 + 8*l**2*n + 5740*l**2 + 94*l*n - 3*l wrt l.\nAnswer: -8280*l*n + 4816296*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/3 - (-18)\/54. Let s(n) = -15*n + 1. Let y be s(1). Let x = y + k. Solve 4*u - 5*u = -x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6955 bigger than 0.2232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 + w**2 - 8*w**2. Let s(h) = -2*h**2 + 3*h. Let r(u) = -2*u**2 + 4*u. Let a(m) = 3*r(m) - 4*s(m). What is x(a(c))?\nAnswer: -44*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -255.3 > 2011.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -99, -3, -2.177, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001011001010111110100 - 100?\nAnswer: -111001011001010111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 28*v + 6 = 0. Let j be v - (4 - 14) - (-4)\/(-1). Suppose j*n + 160 = -4*k + 544, -5*n = -2*k + 220. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3*d - 81\/2*d**2 + 16 + 44\/3*d**3. Differentiate h(w) with respect to w.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 - 7*z - 3. What is the hundreds digit of w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z - 2*z - 9*z - 13. Let u be x(-9). Let m = u - 93. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 + 284*d**2\/9 - 94*d\/3 = 0. What is d?\nAnswer: 0, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7406900, 7406891, 7406882, 7406873?\n\"Answer: -9*o + 7406909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 285 + -289. Let i(p) = -2*p + 2. Let a(w) = w. Suppose 0*n - 2*n = 2. Let l(c) = n*i(c) + s*a(c). Let z(f) = -7*f - 9. Calculate -9*l(x) + 2*z(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 472342*m**3 - 474248*m**3 - 5023*m**2 - 37*m**2 wrt m.\nAnswer: -11436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**6\/60 + a**5\/30 - 5*a**2\/2 + 2. Let m(q) be the second derivative of v(q). Factor m(n).\nAnswer: -2*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -397?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -7.7 (c) 0 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/7)\/g**(4\/13) assuming g is positive.\nAnswer: g**(-67\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cqyac?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/5 - l**4\/5 - 3*l**3 - 23*l**2\/5 - 2*l.\nAnswer: l*(l - 5)*(l + 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)*2\/((-4)\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31.648 and 0.2.\nAnswer: 31.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -7, 42, -9, 5, -45.\nAnswer: -45, -9, -7, -1, 1, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61759.\nAnswer: 151, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -19 + -2 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 980, 1979, 2992, 4025, 5084, 6175, 7304?\nAnswer: 8477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 5*v**2 - 3 - 34*v + 18*v - v**3 - 4*v**2 - 3*v**4 to h*v + d*v**4 + a*v**3 + q + j*v**2 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 8:32 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 18*u = 99 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 0*k**4 + 0*k**4)*(1220 - 2907 + 1446) + (-1 + 1 - k)*(k**2 - k**3 - k**2).\nAnswer: 483*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let k(y) be the second derivative of y**5\/30 - 8*y**2 - 3*y. Let i(s) be the first derivative of k(s). Determine i(d(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**3 - 5*a**2 + 5*a + 9. Let y(k) = -k**3 + k**2 - 1. Let m(b) = v(b) + 4*y(b). Find the second derivative of m(j) wrt j.\nAnswer: 12*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -32*o**2 + o + 10. Let n(f) = -6*f**2 - f + 2. What is 2*m(r) - 11*n(r)?\nAnswer: 2*r**2 + 13*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 19) + (-6 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, -2\/5, -1\/107?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(2700\/165 + -17) + -23?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -366, -389, -440, -531, -674, -881, -1164, -1535?\n\"Answer: -2*k**3 - 2*k**2 - 3*k - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/3)\/(-1))\/(9\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 10*u**2 + 23*u - 88. What is the units digit of q(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/2)*k*k)**(-31) assuming k is positive.\nAnswer: k**(-279\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h = 4*t + 34*h + 10, 3*t + 25 = -5*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n - n**2 + 1 - 2*n**2 + 2*n**2. Let z be d(6). Let u = 2\/295 - -869\/2360. Are z and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.029 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128951*g**3*t**3 - 106*g**3 - 2*g*t**3 - 5*g*t**2 + 554*g*t - 294*g - 3*t**3 wrt g.\nAnswer: 773706*g*t**3 - 636*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 10*x - 15*x + 28*x.\nAnswer: 3*x - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**2 - 5*r + 5. Let f(i) = 29*i**2 - 14*i + 14. Let y(d) = 6*f(d) - 17*s(d). Let w be y(1). What is the nearest to -1\/4 in -5, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 1708\/(-56))*(-6)\/45\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-27)\/(-4)) - ((-148)\/48 - -2). What is the second smallest value in -2\/7, -1, 4, 3\/5, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(200) + 2)*-3 + 5 + sqrt(64)\/sqrt(2) + -4 + (sqrt(32) - (sqrt(64)\/sqrt(2))**2))*-5.\nAnswer: 110*sqrt(2) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497480?\nAnswer: 2, 5, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4008 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: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - i**2 + 5*i + 2. Let d be o(-3). Let x(h) = -h + 5. Let r be x(5). Let u(j) = 6*j**2 - 1 + j + r*j**3 + 5 - j**3 - 5*j. Calculate u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 2*t + 3. Let k(w) = -w**2 + w - 2. Suppose 3*h = 2*u - 5 - 15, 3*u + 4*h + 4 = 0. Determine u*k(d) + 3*j(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6379131, -6379129, -6379127, -6379125?\n\"Answer: 2*y - 6379133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 264*q**2 + 244*q - 48 = 0.\nAnswer: -12\/11, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 <= -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00217675 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20480755 to the power of 1\/2, to the nearest integer?\nAnswer: 4526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/12 (b) -136 (c) 89\/959 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93578594 + -93578574.80000136. Let j = x - 19.2. Round j to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:34 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -18*v + 2*w + 3 - 3, -5*v - w + 2*w = 2*w - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 - 6*w + 1. Let g be (-1*(-6)\/1)\/((-6)\/(-4)). What is the remainder when 43 is divided by o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604697414?\nAnswer: 2, 5011, 60337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 31*x**2 - 5*x + 106. Let q be o(-33). Is q\/9 - 10\/90 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(3\/4))\/x**(1\/4)*(x*x**(-2\/11))\/x**4)**(2\/51))**(2\/23) assuming x is positive.\nAnswer: x**(-74\/12903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 7\/2*x**3 + 6*x + 1\/2*x**4 + 0.\nAnswer: x*(x - 6)*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8424)\/(-91) + (-3)\/(-7)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 25*m**2 + 21*m + 64. What is p(24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 797700869 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105497444603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 12 = 15*n, 6 = 3*p + 2*n. Let k(r) = 2*r**3 - 3*r**2 - 8*r + 4. Let m(b) = b**3 - 2*b**2 - 7*b + 3. What is p*m(j) - 3*k(j)?\nAnswer: -2*j**3 + j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241507128.\nAnswer: 2, 3, 29, 67, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m**(2\/37))\/(m**(-11\/2)*m\/((m**(-1\/3)*m)\/m*m)*m))**(-26) assuming m is positive.\nAnswer: m**(-29497\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddreedbkxdexbeeddde. What is prob of picking 1 e, 1 x, and 2 b?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:30 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 - z**2 + 4*z**2 + z**2 - 7*z**2. Let l(x) = -x**3 + x**2 - x. Let k(v) = v**2 - 4*v + 2. Let y be k(1). Give y*s(h) + 2*l(h).\nAnswer: -2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2252 - 2249. Solve -u - q*u = 5*s - 4, u - s + 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6607843 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c - 2*c + 5*c + (-2 - 3 + 4)*(3*c + 2*c - 4*c) + (1 - 2 + 0)*(-5 + 9 + 3)*(-3*c + 2*c - c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/56 and -67\/70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24450 is divided by 133.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2 + 57*f - 16. Let g be d(9). Suppose g*o - 3*o = 288. What is the lowest common multiple of 14 and o?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 54*m**2\/5 + 20*m.\nAnswer: 2*m*(m - 25)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 444626124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88.1 - 89. Which is the nearest to -1\/2? (a) p (b) -3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:07 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -7 (b) -1 (c) 1\/2 (d) 336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19143000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 3.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 21864*u + 787 + 7462*u - 787.\nAnswer: 3*u**2 - 14402*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 5*n - 84 = 0. Is (0 + n)*(19850\/35)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + v**2 - 2*v + 1. Let h be x(1). Let b be ((-2)\/2)\/(1\/(-2)). Let l(i) = -b*i**2 + 3*i**2 - 1 - i**3 + 2*i - i**2. Determine l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16632 and 864?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*g = -2*z + 9, 2*g - 27 = 3*z. Let m = 13 + z. Solve 0*r + m = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1700) + -4 + sqrt(1700) + -2 + sqrt(1700) + 1 + ((-4*(sqrt(17) + 0 - sqrt(17)))**2 - (sqrt(17) - -4*sqrt(17)*-4)**2).\nAnswer: -3830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1492944 and -67\/18.\nAnswer: 4478832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*h + 385 - 281, 0*t + h - 29 = 5*t + 4*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.206 - 69.094. Let t = f + 82. Let g = t - 11.69999949. Round g to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.4 + 44.3. Let f = -21 + u. What is the third biggest value in -0.2, -9, f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3069 divided by -3\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let v(w) be the second derivative of 167*w + 0 + 1\/6*w**3 + 1\/2*w**2. Give -3*i(b) - 2*v(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 8 - 31 - 25 - 30*p - 23 - 50.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**5\/5 + 27*g**4\/20 - 10*g**3 + 58*g**2\/5 + 72*g\/5 - 95. Factor p(q).\nAnswer: (q - 2)**2*(q + 9)*(5*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)\/(sqrt(11)*-2))\/sqrt(4) + sqrt(28)\/sqrt(4)*-5 + 0 - (sqrt(252) + 3 + sqrt(175)*-2 + 2))**2.\nAnswer: 15*sqrt(7) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0614 minus -0.8303?\nAnswer: 0.7689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 29 + 19. Suppose -10 = -o - k*o - 2*h, -2*h = 3*o - 6. What is the nearest to 0 in -2, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1431*l = 1454*l - 299 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -215, -420, -739, -1208, -1863, -2740?\nAnswer: -3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396687 to the power of 1\/2, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 15*b - 21. Give x(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5355078 and -2.\nAnswer: -10710156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o*o**(1\/3))\/(o**(2\/7))**35 assuming o is positive.\nAnswer: o**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpllbsk. What is prob of sequence plck?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 2 (b) -5 (c) 75 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219.2 + -219. What is the closest to 48 in q, 0.1, -5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + ((sqrt(190) - (sqrt(190)*-3*-4 - sqrt(190) - sqrt(190))) + sqrt(190) - sqrt(190))\/sqrt(10) + (2 + sqrt(931) + 2)*6.\nAnswer: 33 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 1)*(x**4 - 7*x**4 + 2*x**4).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t*t**(-3\/8)\/t*t)\/((t\/t**1*t)\/t)**15 assuming t is positive.\nAnswer: t**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.1. Let p = -0.548 + -0.162. Let c = p + 0.21. What is the smallest value in -3\/7, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Suppose 6*c - 5 - 13 = 0. Suppose 7*z - 53 = c*z + 5*u, 0 = j*z + u - 23. What is the remainder when 17 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 25*w**2 + 12*w + 13. Calculate z(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 14 + 6 = 0, 2*b + 4*s = -24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 9*b**2 + 20.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -938 by 47.\nAnswer: -938\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 276.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3662 is divided by 609.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - -44 - (-4 - (-22 - -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -545 * 0.5\nAnswer: -272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(108)\/sqrt(6))\/sqrt(6)*-3.\nAnswer: -3*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 153046.\nAnswer: 11\/153046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 2. Let m(w) = -99331*w**2. Determine d(m(g)).\nAnswer: -496655*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716177 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -15, -4, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -6\/389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3304 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10365 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o. Suppose o*z = 5*z - 20. Let k(l) = 4*l**2 - 6*l. Does 20 divide k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = 1 - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)\/(-16 - (-12)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010110000011011 - -10000?\nAnswer: -11101010110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -581367\/100 - -23249\/4. Find the common denominator of h and -9\/128.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l - 40. Let p be j(-3). Find the second derivative of 838*a**3 - 840*a**3 - 27*a + a**2 - p*a**2 wrt a.\nAnswer: -12*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7613429 divided by -1303\nAnswer: 5843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/692 and -75\/44.\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 93855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6484317222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*u = 2, 3*v + 2*u - 9 + 1 = 0. Let w(m) = -m**2 + 2*m**2 - v*m**2. Let o(g) = -5*g + 11584 - 11584. Give o(w(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 41*m - 1. Suppose -3*y + 2 = -y. What is the units digit of u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001494 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 1\/8, 6, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 12. Let g be h(-10). Factor -g*t**4 + 16\/5*t**3 - 4\/5*t + 0 - 2\/5*t**2.\nAnswer: -2*t*(t - 1)**2*(5*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.102 and 3.9.\nAnswer: 0.3978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2\/15*j**3 + 208\/5*j**2 + 16224\/5*j + 0 = 0?\nAnswer: -156, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5, -15 in decreasing order.\nAnswer: -2\/5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -25 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18901 + 4?\nAnswer: -18897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*z + z. Let s = 22\/61 + -4297\/244. Find the common denominator of s and z\/6*246\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*z)*(-141*z - 35*z + 37*z).\nAnswer: 278*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1668027 - 260277. Let t = -1407744.10031 + f. Let o = t - 5.9. Round o to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-23)\/(13455\/(-30)))\/(0 - 3\/54). What is the closest to 1 in 1, r, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 273.16535 + -319.165291. Let u = l - -46. Round u to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 865.4736 micrograms?\nAnswer: 0.0000000008654736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 132586293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 3*c - 6, -12 = -5*h - c. Let t be 26\/10 + (-15)\/25. Suppose -v + h*v = -t. Let b(i) = -4*i + 4. Let n(k) = -3*k + 3. Give v*b(l) + 3*n(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 1 + j + 3)*(-3*j + 3*j - j)*(0*j + j**3 + 0*j + (0*j + 0*j + 2*j)*(4*j**2 + 4*j**2 - 6*j**2) - j**3 - j**3 + j**3 - 5*j**3 + 15*j**3 + 38*j**3).\nAnswer: -208*j**5 - 104*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*l + 15. Suppose -q = -l*q + 42. Let d = q + 3. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1, 0.5, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 6. Let v be y(10). Suppose -4*r - v*w + 32 = 0, -4*r + w + 9 = -8. Suppose 0 = -2*g - 1 + r. Solve 5*d + 3 + g = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -840, 0, 13 in decreasing order.\nAnswer: 13, 2, 0, -6, -840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/729?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(686) - sqrt(686)*2 - sqrt(504)*-1)\/(-2*sqrt(1152) - sqrt(1152)))**2.\nAnswer: sqrt(7)\/9 + 82951\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 43. Let j be a(-6). Suppose -j*g = 7*g - 48. Suppose -g*d + 3*f + 124 = 0, -d - 7*f + 46 = -4*f. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1729)\/38 + 29 + 17. Let l = -76 + 381\/5. Put -2, 2\/19, i, l in increasing order.\nAnswer: -2, 2\/19, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3902 and 1380978281?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6930, 6948, 6962, 6960, 6930, 6860, 6738, 6552?\nAnswer: 6290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 561*b + 3 - 2*b**3 + 36582*b**4 - 3 + 2*b**2 - 73164*b**4 + 36584*b**4 as v + c*b**3 + n*b**4 + q*b**2 + a*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scocscooc. What is prob of sequence cccs?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -115*(-48)\/60*(-9)\/36\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpgglpgkpggppxggp. Give prob of picking 1 p and 1 l.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 150*g - 152*g. Calculate the highest common divisor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/2 (b) 23\/7 (c) 3 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 8:14 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 21*q + 2. Let r be w(15). Let n = r + -31. What is n rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4 + 1343\/(-158)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 - 6*h + 11. Let a be (-45)\/(-6)*(-6)\/(-9). What is the lowest common multiple of u(a) and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*v + 12. What is the third derivative of -m**2 - 19*m**5 + v*m - 13*m + 3*m wrt m?\nAnswer: -1140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(-2)\/3. Let r = -8 - -8.8. Let a = -5.8 + r. What is the nearest to k in -4, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**8\/84 + 2*w**6\/15 - 2*w**5\/15 - w**4\/2 + 4*w**3\/3 + 6*w**2. Factor f(o).\nAnswer: -4*(o - 1)**3*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**3 + 22*z**3 + 19*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 1. Suppose -3*x + 16 = x. Let w(t) = x*t + 15 - 22 + 12. Calculate 3*b(h) - w(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211200 - -10?\nAnswer: -1211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 464, 992, 1740, 2714, 3920, 5364, 7052?\nAnswer: 8990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2202 - 4414 + 3*f**3 + 2212.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 10:50 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*w + 134 + 3380 + 10746 = 0 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -132*o + 4. Let b be z(-5). Let q = 6613\/10 - b. Find the common denominator of 35\/6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 6*w + 6. Let u be j(-5). Let h(c) = -c + 1. Let d be h(4). Is (d\/((-3)\/373))\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 37. Let w = 33 + -52. Let d be b(w). Let r = -7.15 + 0.15. Which is greater: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 13*d + 36. Let u be m(-15). Let i = u - 1. Solve 1 = -i*z + 3*r - 6, z = -5*r + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Let w(j) = -j**3 - 1 + 6*j + 0 - j + 4*j**2. Let i be w(5). What is the third smallest value in i, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfhf when four letters picked without replacement from hhhffhhhffh?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -240, -527, -918, -1407, -1988, -2655, -3402?\n\"Answer: z**3 - 61*z**2 - z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -565\/21 + 16363\/840. Let g = -53\/8 - c. Factor 0*s**3 + 2\/5*s**4 - g*s**2 + 0*s + 2\/5.\nAnswer: 2*(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70647? (a) -0.7 (b) -3 (c) 4 (d) 1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 58967029.38443?\nAnswer: 58967031.38443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15021206 - 4871.\nAnswer: -15026077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + 0 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bggrogobr. Give prob of picking 2 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 12*u + 15 = 0. Suppose -u*s + 8 = -1. Let d(t) = 5*t**2 - 5*t + 2. What is the tens digit of d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.73524 nanoseconds in days?\nAnswer: 0.0000000000002862875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3422413 (base 6) to base 14.\nAnswer: 47705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26193437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-117 - (-17 - (-24 + -2) - 17)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + (-624)\/(-32))*(4 + 0). What is the highest common factor of d and 20055?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64342058 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57781 is divided by 57778.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 145. What is the remainder when 39 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84852402.\nAnswer: 2, 3, 401, 35267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 31. What are the prime factors of (u - -4)*-2 - -87?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (134\/67)\/(1 - (-2)\/(-6)). Let k = 32 + -26. Let j(a) = -a + 10. Let y be j(k). Solve y = n*c - 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*j**5 - 700*j**4 - 432*j**3 + 400*j**2 - 64*j = 0. Calculate j.\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/8 - 12249*s**2\/8 + 318981*s\/8 - 2074475\/8.\nAnswer: -(s - 13)**2*(s + 12275)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 + -7 - -3) + 6 - 0) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010586714 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43\/5? (a) -1 (b) -5 (c) -3\/7 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m - 1. Let y be s(-1). Let f be ((-3)\/2)\/((-14)\/28). Suppose -f*r = 5*u - 20, 2*u - 17 = -r - 2*r. Sort r, y, 2.\nAnswer: y, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**5\/120 + 2*p**4\/3 + 13*p**3\/3 - 7. Let h(i) be the third derivative of l(i). Let m be h(16). Solve 2 = -2*a - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 1. Let j be n(1). Let i(o) = 5*o**2 - o - 3. Let h be i(j). Let p = -16 + h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let r(b) = 20*b**2 + 14*b. Let c(s) = s**2 - 3*s - 1. Let v be c(3). Let o(q) = v*r(q) - 5*j(q). What is the second derivative of o(z) wrt z?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/23 - 11\/(13409\/106).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095 less than 61672508?\nAnswer: 61672507.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000406465 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 115. Let h = d - -52.7. Let c = -3 + h. What is the nearest to 0.1 in c, 3, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -24.25. Let h = 11 - q. What is h rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmm when three letters picked without replacement from mmmpdppmpdcmm.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 45\/(-6))*-2. Suppose c*y = 6*y + 15. Determine s, given that y*s**3 - 2*s**2 + 2 - 5*s**3 - 2*s + 4*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + -0.16. Let h = 5.11 + v. Which is the closest to -1\/3? (a) -1\/5 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 214 + 86cc?\nAnswer: 8902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -364, -44, -51.\nAnswer: -364, -51, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565 + 389 = -48*q - 1474 - 164 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 87*a**4\/4 + 176*a**3 + 366*a**2 + 48*a - 1746. What is y in h(y) = 0?\nAnswer: -4, -2, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 5*w - 5. Let m(k) be the second derivative of 3*k**5\/10 + 8*k**3\/3 - 8*k**2 + 3*k. Let p = -2 + -3. Calculate p*m(l) + 16*b(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28780336 - 2075832 = 24*h - 2468768. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632820 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581621.\nAnswer: 17, 34213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1034 and -23\/517.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 11\/27?\nAnswer: 11\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4623604.000033 - 4623602. Let u = 1.8 + 0.2. Let p = u - i. What is p rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 17. Let g be z(-8). Let m be (0 - 3\/g) + 0. Let w = -2 - -2.1. Which is the nearest to -1? (a) m (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + 0*w**2 + 5 + 2*w - 3*w**2 + 3*w**2. Let o(t) = 0 + 3*t + 6 - t**2 + 7*t**2. Suppose 4*m - 9 = 7*m. Calculate m*o(g) + 4*i(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 5*o**3\/3 + o**2 + o - 2. Suppose 4*a = 5*c + 11, -2 = -c - 5. Give x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177634 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 4017*v + 64016 = 0. What is v?\nAnswer: 16, 4001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 144768*c**2. Let s(f) = -6*f. Calculate v(s(n)).\nAnswer: 5211648*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)**(-45)*(v**(-13)\/v)**(-15))**(-39) assuming v is positive.\nAnswer: v**(-6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -123.7. Let l = -10.812 + -0.188. Let z = m - l. Which is the biggest value? (a) 4 (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**2 - 1. Let r(n) = -n**2 + 1. Let k(v) = v - 4. Let l be k(3). Let s(u) = l*c(u) - 6*r(u). Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 24893*a. Let b(f) = 300*f. Let s(x) = -248*b(x) + 3*h(x). Let g(d) = -3*d. Determine g(s(p)).\nAnswer: -837*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17862995 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240*i + 11*i**2 + 2 + 240*i + 2*i**3 + (i**2 + 5*i - 5*i)*(0*i + 0*i + 2*i).\nAnswer: 4*i**3 + 11*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((sqrt(35)*-2)\/sqrt(7))*6.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -l + 4*k, l + 5*k + 9 = -2. Suppose 5*f = -l*u + 5 - 1, 0 = -f - 2*u + 2. Which is bigger: 3\/4 or f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0441498 to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 39*g**2 + 6*g + 7. Let u be i(1). Calculate the highest common divisor of 351 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -120, -178, -236?\n\"Answer: -58*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11997 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2) + -1*sqrt(242))**2.\nAnswer: -100*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 1 - 9. Let u(m) = -33*m + 1. Let z(v) = 99*v - 3. Let s(f) = 7*u(f) + 2*z(f). Is s(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1471 + -1339.9. Let u = 131 - i. Put u, 0, 2\/9, -4 in increasing order.\nAnswer: -4, u, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 - 6*c**2 + 220.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.636 - -16.136. Let b = 1 + -1.03. What is the fourth biggest value in v, b, -2\/5, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 446041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/19 - 62057400*y\/19 + 481390111845000\/19 = 0. What is y?\nAnswer: 15514350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmi when three letters picked without replacement from {l: 3, m: 6, i: 2, z: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2247 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4645*(1 - (-117)\/15). Suppose -7*q + u = -5*q. Suppose -4*z + 151562 = -q. What is z rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-30))\/((-33)\/(6435\/26)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7638\/13 bigger than -589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*k**2 + 4\/5 - 4\/5*k.\nAnswer: (k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -121*q + 1055. Let k be z(8). Calculate the highest common divisor of 12 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -45 - 2*10582\/(-468). Let q be (-3)\/3 + (-2)\/6. What is the nearest to -0.1 in -0.5, -2, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -49. Suppose 5*n + 0 - 10 = -2*f, -3*f + 5*n - 10 = v. Solve f = 2*u + 7 - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113977100 rounded to the nearest one hundred thousand?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + 0*v - v)*(-5 - 26994*v + 25451*v + 4).\nAnswer: 12344*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:45 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) + (-1612)\/5446. Let f = a + 35415\/1556. Find the common denominator of f and 27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -446 divided by -2\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:06 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 44.94. Let u = -44 - r. Let w = -5\/12 + 1\/12. Which is the second smallest value? (a) u (b) 4 (c) w (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8231 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23 - 20 - (2 + -1). Let b(q) be the second derivative of 1\/50*q**5 + 0*q**3 + 0*q**x + 0 + 0*q**4 + 1\/75*q**6 - 4*q. Factor b(j).\nAnswer: 2*j**3*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72644507 divided by -311779\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 5014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 17*i - 2. What is the units digit of y(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98455.76 millilitres in litres?\nAnswer: 98.45576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 247501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 21*y - 51 = 0. Let b be (-1)\/((-10)\/y - (-60)\/20). Find the third derivative of -b*g**6 + 13*g**2 + 33*g**2 - 8*g**6 + 3*g**6 wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -60*z - 414. What is f(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3024, -12082, -27174, -48294, -75436, -108594, -147762?\n\"Answer: a**3 - 3023*a**2 + 4*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:28 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 1 - 1)*(-4*v - 4*v + 6*v) - 5 - 6*v + 5 - 1 + v + 1)*(-17*v**2 - 35*v + 35*v) as w + m*v + b*v**2 + g*v**3 and give g.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(0 + -3) - -35. Let a be 3\/(-2) + (n\/(-2))\/(-3). Solve t - 9 = a*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10464 + 10744 = 14*y. Solve y = -5*u - 3*w, -19 = -4*u + 5*w + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -59, -44, -1, 76?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 123.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (153\/(-18) - 5)*232\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6252755 or 6252768?\nAnswer: 6252768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -608\/1073 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 1. Let g(r) be the first derivative of -5*r**2\/2 + 3*r + 5151. Determine -4*g(d) - 9*x(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -9*h + 14. Which is the second smallest value? (a) h (b) 1\/3 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 93?\nAnswer: 10\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12405, 12403, 12397, 12387, 12373?\nAnswer: 12355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3 + (-3 - (2 - 6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1355\/271*3\/20)\/((-2)\/40).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 300336539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -4, 1, -132, 3, -3 in decreasing order.\nAnswer: 90, 3, 1, -3, -4, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - 5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + (-3)\/(-8)*-8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -299.5, 4, 0.4, 4\/13, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 x when three letters picked without replacement from mkmkaabakxxkgbakk.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three twentieths of a microgram in nanograms?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 186795840 divided by 424536\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486246 = -19*l - 486341 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 7*p**2 - 30*p + 8. Let q(v) = -v**2 - 5*v - 14. Let r be q(-4). Let l be u(r). Solve 0 = l*h - 5 + 29 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 596818560 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 38*l - 3*x, -32413*l + 4*x = -32409*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/15*-2*5\/(-2). Solve -5*q = -a + 3, 0 + 2 = -k*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 92, 0.5, 0.05, 1.8, 2, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1166339938 and -0.4?\nAnswer: 466535975.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 16 - (1 + 4 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51062 and 51062.\nAnswer: 51062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*w + 1 + 4 = 0, 6 = -2*w. Suppose 0 = j - d*j + 9493. Suppose 3*i + 42015 = 5*y, j = -i + y - 4510. Round i to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, 1, -3.\nAnswer: -3, 1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2950 is divided by 983.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 854 - 232. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 0.5, -182\/15, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16704 and 261.\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - 16. Let y be o(0). Let g = y + 23. Calculate the remainder when 25 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 + 3. Suppose -2*b + 37 = 3*a + 142, -i*b + 3*a = 120. Let c = -226\/5 - b. What is the nearest to c in 3, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 295 = w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624 equal to 3631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 + 8*y - 9. Let o = -11 + 4. Does 16 divide r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 70. Suppose 658 = -n*h + 3093. List the prime factors of h.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*14\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 262*x + 516.\nAnswer: 2*(x - 129)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 899700 rounded to the nearest ten thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 468 = 3*s. Let a be (2 + s)\/(-5 - 37\/(-7)). Suppose -3*y + 81 = -a. What is the smallest common multiple of y and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 35*a**3\/3 - 11*a - 300. Let m(i) = -2*i. Calculate m(o(y)).\nAnswer: -70*y**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56641 + -46728851\/825. What is the common denominator of g and 47\/125?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let y be f(8). Let v = 28 + y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 138.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 + l**2 - l. What is s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2\/3*i**3 + 2\/3*i**5 + 10\/3*i**4 - 10\/3*i**2 + 0 = 0. Calculate i.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 - -97. What is the common denominator of -3 and 8\/(-20) - (-52)\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:03 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -572\/35479?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1148464 and 412228.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 5) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r - 4*r + 14 + 0*r - 6*r. List the prime factors of i(10).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1\/2) - -1. Suppose -2*l - u*l + 65 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 139 = 4*z - 25*z + 174 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/33 and -43\/557061.\nAnswer: 6127671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13144996 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 2\/9 (b) 5\/3 (c) 3 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/10252 and 19\/4?\nAnswer: 10252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*n = -173, 86 = 5*z + n + 324. Let a be (z\/(-7) - (-9 - -14)) + -2. What is the closest to -2\/5 in a, 0.4, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Suppose -d*f + 94 + 121 = 0. Let o = f - 24. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -3195*u**8\/56 + 1211*u**4\/6 - 1278*u. Find the third derivative of t(s) wrt s.\nAnswer: -383400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 plus 190215685800?\nAnswer: 190215685644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -2, -0.07, 0.24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 5*k**2 - 11*k - 6*k**3 - 5*k**2.\nAnswer: -6*k**3 - 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -409 + 413. Solve 0 = -d*n - o, 5*n + 35 - 56 = 4*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaakkkknkan. What is prob of picking 2 a and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*h**3*s**2 - 33*h**3 + 523*h**2*s**2 + 46*h**2*s - 2681*h**2 - 21*s**2 wrt s?\nAnswer: -424*h**3 + 1046*h**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 24*h**4 - 68876*h**3 + 1693504*h**2 + 6019684*h + 955920 = 0?\nAnswer: -3, -1\/6, 28, 2845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4747229\/97 or 48942?\nAnswer: 4747229\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12314 - 5379. What is the least common multiple of c and 4?\nAnswer: 27740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -705 - -706. Solve -r = o, 2*r - n - 20 = 5*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 8:33 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 153689727 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2439 + 2545. Calculate the remainder when t is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16621 - 1?\nAnswer: 16620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/90)\/((-20)\/18)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 7*b**2 + 4*b - 8. Determine m(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + z + 2. Let n be m(4). Let q = -2 - n. Calculate the remainder when 31 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 + 986 = 36*m - 143. Suppose 6*g = 4*g - 3*s + 21, 0 = 3*g - s - 4. Calculate the remainder when m is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5297061*o**2. Let f(u) = -u. What is f(q(v))?\nAnswer: -5297061*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -23. Is -66 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 9. Let w be a(6). Let b be w\/3 - (-2 + -2). Suppose -o = -3*o - 5*n - 5, -b*o - 3*n + 15 = 0. Solve 5 = 5*z - o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*y + 68. Suppose -y = -i - 4*c - 0*c, -4*c + 15 = 5*i. Let n be (11 - 0) + i - 1. Calculate the highest common factor of n and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 15 = -v + 2*p, -2*p = -2*v + 20. Suppose -3*f + 367 = 5*g, v*f + 5*g - 575 = 4*g. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*o - 8. Suppose o*u + 30 = -2*g - 20, -65 = 3*u + g. Is -19 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 8) + (2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 139 in decreasing order.\nAnswer: 139, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4.875. Let g = x - 1.215. Let c = -1.3459 - g. Round c to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1, -1\/10927, -10 in descending order.\nAnswer: 0, -1\/10927, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 29*b**4\/6 + 7*b**3\/6 - 13*b**2. List the prime factors of g(2).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(69\/(-46) + (-1066)\/(-708)). Let r be (-3 - 116\/(-36)) + (-1408)\/18. Let u = r - h. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.41 or -48742?\nAnswer: -48742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, g: 3, f: 1}. Give prob of picking 2 g and 1 p.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3 - 0. Let w(s) be the third derivative of -385*s**4\/12 - 4*s**3\/3 - 9*s**2 + 5*s. Is w(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/5, 7\/4, -3, 85, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -4*p. Let 2*j**p + 0*j**4 - 2*j**4 + 3*j**4 + j**2 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1540 and 5005.\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27523411 (base 8) to base 13\nAnswer: 1392600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:49 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, 1 w, and 1 t when four letters picked without replacement from wnntpoopop?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -3999*j**4\/4 - j**3\/3 - j**2 - 2. Let r be v(2). Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26637289\/42330 + -98\/4233. Let k = 9005303\/14310 + d. Let y = k + 15731\/7155. Is 2 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5\/2 - 114*z**4 - 2190*z**3 - 6240*z**2 + 105984*z + 221184 = 0 for z.\nAnswer: -48, -16, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.242 and -17918.8.\nAnswer: -22255.1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 11 + 1. What is the remainder when 87 is divided by n + 8 - (-2 + -41)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8955 + -8622. Let b be (-3320)\/(-45) - 2\/(-9). Calculate the highest common divisor of b and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/(-15))\/(35\/105). Solve 2*g - o = -11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 968905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/((-5)\/150*6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1757 and 10236.\nAnswer: -17984652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:10 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -276*f + 181. Is p(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 413?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 6)*(-96*o**4 + 96*o**4 + o**5) + 2*o**4 - 6*o**5 - 2*o**4.\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15*(-1)\/(-12))\/((-2)\/8). Sort s, 2\/65, 2\/5, 3 in ascending order.\nAnswer: s, 2\/65, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8393.704027 rounded to the nearest ten?\nAnswer: -8390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 * 54.\nAnswer: 7290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 961 = 5*a - q, -6*q = -a - q + 173. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + b + 1 + ((2 + 0 - 3)*(-2 + 5 - 2) + 7 + 0 - 2 - 2 + 3 - 2)*(19697 - 19697 + 141*b) as o*b + k and give o.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:35 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1816929.3 + -14.\nAnswer: 1816915.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 7*t. Let x be r(7). Let g be -5*((-3)\/12*x - 1). Solve -g*n + 7 = -13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q + q**2 - 8*q + q**3 + (3*q + 0*q + 0*q)*(2*q**2 - 4*q**2 + q**2) as x*q**3 + h + t*q**2 + d*q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 + 2*u - 4. Suppose -2*v + 4 = -3*v. Let p be w(v). Is 9 a factor of p\/10 - 176\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l. Let h(x) be the third derivative of x**4\/12 + 35*x**3\/6 - 2*x**2 - 311. Calculate t(h(b)).\nAnswer: 8*b + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0 - q**2 + 1\/24*q**4 + 1\/120*q**6 + 1\/6*q**3 - 2*q + 0*q**5. What is y(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25657*c - 25656*c = 3*k + 27, 0 = c - 4*k - 27 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(288))**2 + -3 + 3*(sqrt(288) + 4) + (3 + sqrt(288) + (sqrt(288) + -5 + -5 - sqrt(288)) + sqrt(288))**2 + -1.\nAnswer: -420*sqrt(2) + 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(0 - -3) + -1. Suppose 13159 = -11*h + 13126. Put 2, h, 3, q in decreasing order.\nAnswer: 3, 2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 + -9)*5\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*l + 4*r + 8, 11 = 4*l - 5*r. Suppose 5*f + 22 - 16 = l*m, f = 4*m + 2. What is the smallest value in 2\/19, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = -4*k, 4*z + 3*k + 15 + 3 = 0. Let t = z - -3. Suppose -3*w + 13 + 5 = t. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4279 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41761823, 41761822, 41761821, 41761820, 41761819, 41761818?\nAnswer: 41761817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -712*r**3 - 117*r**4 + 136*r**2 - 110*r**4 - 514*r**3 - 119*r**4 + 364*r**4.\nAnswer: 2*r**2*(r - 68)*(9*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8190 divided by 1638?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1256.8102 - -1257. Round x to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - o - 21*o**2 + 62*o**2. Let j be a(-1). Let y = j - 6. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19032370?\nAnswer: 2, 5, 7, 97, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.9 - 4. Let u = 7.6 - 2.6. Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 598 and 8?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -300 and 3.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11751 = -80158. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1234*y + 439364. Determine f(356).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 + -2 - (53 + -98). What is the highest common factor of 216 and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/5 - 61070*g**3 + 1221376*g**2\/5 - 1221368*g\/5.\nAnswer: 2*g*(g - 152671)*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*732\/(-427)*(-98)\/(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-8) - (-729)\/(-108). Let n be 6 - (-2 + 9)*1. Let m = 0 - -4. Sort 0, u, m, n in descending order.\nAnswer: m, 0, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyzn when four letters picked without replacement from {n: 3, z: 1, y: 13}.\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -19*g**3 - g**2. Let w be a(-1). Suppose w = 2*n - 4*b, -2*n - b - 3 = -1. Solve p + j = -0*p - n, -j - 21 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12307718 to the nearest integer?\nAnswer: 3508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 73. Let z = -5 - j. Which is the smallest value? (a) -2\/9 (b) 6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67657177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) - 3\/(-9). Put 1, -0.8, n in descending order.\nAnswer: 1, n, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 84\/24 - 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30549 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/7)\/(x*x*x**(-13)*x) assuming x is positive.\nAnswer: x**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -265ba7 (base 15) in base 14?\nAnswer: -35d3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*p = -66 + 82, 5*g - 4*p = 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**5 - 125*f**4 - 30*f**3 + 80*f**2 = 0 for f.\nAnswer: -8, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1993*j - 1992*j + 5*w + 9 = 0, 14*j - 2*w = -54 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 + -3.7. Put -4\/9, z, -4 in descending order.\nAnswer: z, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*x + 247*x + 169*x - 688*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1527424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 24. Let m be w(-8). Suppose m = -9*r + 10*r - 2. Solve -11 = r*l - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0*v*v*v)\/v*v**6)\/(v\/v**(2\/19)*v*((v*v\/v**(-3\/4))\/v)\/v*v*v)*(v**1)**(-1\/8)*v\/((v\/(v*v**(2\/13)\/v))\/v)*v**5 assuming v is positive.\nAnswer: v**(20519\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.42 + 0.48. Let k = -3 + o. Which is the closest to k? (a) -4 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 + 6*u - 4. Let p be z(-7). Let v be (-1 - 3\/9)*3. Let c = v - -11. Solve -2*h = c + p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 1\/3 (c) 0.2 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -28 + 301 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100007114.\nAnswer: 2, 50003557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.22282 - -0.16282. What is the second biggest value in 1, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-639392)\/(-2088))\/(-689))\/(4 + -2 - 56\/18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3 + 1)*2.\nAnswer: 2 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.546 + 0.2972. Let n = 2.28 + m. What is n rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.5 - -12. Let z = 2 + n. Let o = -2894\/3 - -965. What is the nearest to o in 3, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-2*sqrt(11)) - (-4 + 2*sqrt(19))**2.\nAnswer: -92 + 31*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = x + 144 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.445 + 2.452. Let a = -0.007 + k. What is the fourth biggest value in 0, -2\/9, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.5. Sort 0.1, l, 3, 4 in decreasing order.\nAnswer: 4, 3, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.048908 and -3.2489056.\nAnswer: -3.2978136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 + 395 = 4*t. Let b be ((1\/4)\/(-1))\/((-12)\/144). Suppose -2*r - o + 333 = 0, -b*r + 339 = -o - t. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 1. Let m(x) = -x**2 - 4*x + 6. Let c(r) = -m(r) - 6*n(r). Let z be c(-3). Suppose 9*d - z = 4*d. Sort 0, 4, d in ascending order.\nAnswer: 0, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(65) - (6*((sqrt(65) - (sqrt(65) - sqrt(65)*3)) + sqrt(65)) + sqrt(65)) - sqrt(65)) + sqrt(65))\/sqrt(5))**2.\nAnswer: 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 70*g**2 - 44*g + 1737. Determine b(-69).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/92 and -43\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-1 + -2 + -1. Let w be (-5)\/(2*3\/r). Suppose w*h = 21 + 584. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3125 (base 10) to base 3\nAnswer: 11021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13406006?\nAnswer: 2, 6703003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f - 182 = 0. Let c(o) = o**3 - 32*o**2 - 53. Let v be c(32). Let q = f + v. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 115\/(-105) - 8\/(-14). Which is greater: r or -57?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 848, 865, 766, 557, 244, -167, -670?\nAnswer: -1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.95 - 0.05. Let n = v - -17. Let p = 0.06 - -0.34. Which is the nearest to -1\/3? (a) p (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p - 33*p = -25*p + 684 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 30*n**3 + 2*n**2 - 14*n**3.\nAnswer: -44*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 39, 4 in increasing order.\nAnswer: -70, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718.512 milliseconds to nanoseconds.\nAnswer: 718512000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 10. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68016301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 881.\nAnswer: 4, 12, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/17? (a) -3\/13 (b) 3 (c) 22 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (50 + -59 - (-2 - 0)) + 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177*i**3*w*x - 2*i**3*w + 2*i**2*w*x - i**2*x + i*w*x - 7*i*w - 13*i*x wrt i.\nAnswer: 1062*w*x - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2891*w - 1511 with respect to w.\nAnswer: -2891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/847 + 152\/847. Let j = -369553\/63 + 40566\/7. Let b = j + 71. What is the third smallest value in u, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 2*x + 2. Let y be z(-2). Let l(j) = -j - 4. Let w be l(y). Suppose -w*o + 0 = -4. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102399607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16559\/2 + -8280. Let x be ((-15)\/6 + 1)\/(32\/8). Which is the third biggest value? (a) h (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*g - 688, -3*o + 5*g = -4*o + 157. Suppose -4*u - 3*w + o = u, -5*u = 4*w - 181. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 1. Let m(p) be the second derivative of p**4\/4 - 5*p**3\/6 + 3*p**2\/2 - 4*p. Let k(v) = a(v) + m(v). Suppose 0*b - 6 = -2*b. What is k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3282555 by -20645.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -214301442 (base 5) to base 10\nAnswer: -931497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, a: 1, s: 1, w: 1}. Give prob of sequence sw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595 + 2329 = 3*l - 5*g, -4*l = -5*g - 3892. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 849 = 3*k, k + 624 + 245 = 3*v. Is v at least as big as 284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 5418 = 92*o - 13*o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 31 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from wxowmymwxyxd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + u**3\/2 + 5*u**2\/2 + 3*u\/2.\nAnswer: -u*(u - 3)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:00 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66631.6343 rounded to the nearest integer?\nAnswer: -66632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7699*p**3 - 19135*p**3 - 20341*p**3.\nAnswer: -31777*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -2, -4\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2*l + 3*l)*(5 - 3 - 3)*(1 + 1 + 0)*(900 + 1258 + 552) to u*l + o and give u.\nAnswer: -32520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1719 divided by -624?\nAnswer: 573\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443 (base 7) to base 10.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74023\/806 + 2447\/62. Is 131 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3622 by 1.\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3390924713?\nAnswer: 11, 71, 421, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15709\/5100 + 4\/1275. What is the common denominator of -29\/8 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let i be 10\/(-14) + 1 - (-26)\/7. Solve j = a*j + i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 79600025 = -i, 4*i + 5*n - 174148351 = 144251674. Suppose 247*v - 249*v - i = 0. Round v to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/13)*i\/i**(-5\/4))\/(i**(1\/2)*i*i**5\/i)*(i**(-2\/7))**(-3\/22)*(i*i**(2\/7))**(-25\/4) assuming i is positive.\nAnswer: i**(-9333\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 9) to base 16\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 - 3*i**5 - 4*i**5 + 0*i - 2*i**5 + 0*i + (3 - 3 + 2*i**5)*(-3 - 4 + 6) + (-3*i + 4*i - 2*i)*(6*i**4 - i**4 - 4*i**4).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5143.\nAnswer: 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 518276369795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407\/92 less than or equal to 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49682232 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 2*b. Let k = 3 - 7. List the prime factors of c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epd when three letters picked without replacement from kedapnda.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 62 + 2 = 4*v, -3*v + 2*k + 38 = 0. Let l(q) = 2 - 15 + q - 1. Calculate l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424297906.\nAnswer: 2, 212148953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbpb when four letters picked without replacement from {u: 3, b: 3, r: 1, l: 7, p: 6}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand -316*t**3 + 154*t**3 - 205*t**3 + (4*t**2 - 4*t**2 - t**2)*(4*t - 4*t - t) + 4*t**3 - 2*t**3 - t**3 + 2*t**3 - t**3 + 0*t**3.\nAnswer: -364*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-31.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3042 + -150?\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7930869 is divided by 16874?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6 + (-6)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i**2 - 3*i - 1. Let p be w(-2). Find the second derivative of 4*t**p + 4 + 4*t - 4 wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -524534?\nAnswer: -524531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 6*y - 17. Let n be a(8). Put 0, -2, n, -3 in decreasing order.\nAnswer: 0, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-336)\/(-40)*(-1 + 0 - -11). Calculate the greatest common factor of 28 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.03 + 41?\nAnswer: 17.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 997578 times 0.4\nAnswer: 399031.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/120 + l**4\/4 + 13*l**3\/6 - 3*l**2. Let t(a) be the first derivative of u(a). Differentiate t(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 4, h: 2, v: 4}. What is prob of sequence hv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002971 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 256, 0.1, -0.05, 1 in increasing order.\nAnswer: -0.05, 0.1, 0.4, 1, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -3 - (10 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 + 3*t**2 + t - 9. Let z be n(5). Suppose -6*q + 8*q - z = 0. Suppose -2*b = -3*m + 139, 5*m + 2*b - q = b. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/10 - 4\/(-10). Suppose 89 = 3*q + p. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfnyrffffyfffyffyfq. What is prob of picking 1 n and 2 f?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w**(1\/6)*w))*w\/(w\/w**(-2\/21))*w)\/((w\/w**1)\/(w\/w**(-8))) assuming w is positive.\nAnswer: w**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24309510*k**2 - 5337537*k wrt k?\nAnswer: 48619020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*b = 2*b + 12, 0 = 4*c + 2*b - 12. Suppose -2*a - 242 = -2*z + 2*a, -c*z - a = -520. List the prime factors of z.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:23 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398348?\nAnswer: 2, 3, 7, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of -12*(-38*(-3)\/(-12) + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139528 and 36?\nAnswer: 1255752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.68 - -0.22. Let q = -4 + s. Let r = 344 - 3100\/9. Which is the biggest value? (a) 4\/7 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 973 and 0.0309?\nAnswer: 30.0657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 + 46*u**3 - 30*u**3 - 2*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41a + -9d3c?\nAnswer: -a257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 37, 1\/7, -4, 20\/29?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -631 - -166. What is the units digit of 279\/o - (-1 + 3008\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1788*k**5 + 33*k**2 + 2*k wrt k.\nAnswer: 107280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 3*y**2 + 1. Let a be z(3). Calculate the remainder when a - -15*(5 - 1) is divided by 4\/14 - (-725)\/35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4)\/s)\/(s**(-3\/5)\/s))**39 assuming s is positive.\nAnswer: s**(-468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**2*w**2 - n**2*w + 65*n**2 + 2*n*u - n*w**2 - 22*u*w + 10*u wrt w.\nAnswer: 8*n**2*w - n**2 - 2*n*w - 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 1, -1\/3, -1, 247, -3, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 + 11)*(-8)\/12. Solve o*u + 10 = -3*d + 33, 14 = 3*u - d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -31. Let r = x - 23. Suppose -64 = -r*c + 26. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/((-140)\/(-30)) - -1*2. Solve j + 0 = 5*g + 1, o*g = 4*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 28, 10 in increasing order.\nAnswer: -3, -2, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/75910 and 19\/2.\nAnswer: 75910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((117\/18)\/13)\/((-2)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5348406 by 9.\nAnswer: 1782802\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u - 24*u = -64*u + 39. Sort 0, -4, 12, -43, u in descending order.\nAnswer: 12, u, 0, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9977025 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 2 - -1 - -1. Calculate the common denominator of 183\/24 + 1 + w and ((-18)\/(-27))\/(44\/(-138)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/(156\/(-16)) - 17444\/2548?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 1403*w - 1404*w. What is the closest to 19 in 0, 3\/2, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*k**3 - 3*b**3*k**2 - 112415*b**3 + b**2*k**3 - 364*b*k**2 - 2*k**3 - 19*k**2 wrt b?\nAnswer: 6*k**3 - 18*k**2 - 674490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14888 + 14972. What is the remainder when w is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (-1*(sqrt(153) - (sqrt(153) - (sqrt(153) - sqrt(153)*-1))))\/sqrt(9))**2.\nAnswer: -276 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 183. Is 3214*21\/(-14)*2\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*b - 52 - 52, 3*z + 4*b = 106. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 844197 and 3073?\nAnswer: 5909379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -0.5 (c) 2\/13 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 2)*(-2*u + 4*u - 3*u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdhvf. Give prob of picking 1 f, 1 d, 1 v, and 1 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3831681 and 73\/4926447.\nAnswer: 34485129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2482 is divided by 705.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 15, l: 3}. Give prob of sequence jj.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 1562965*f**3\/3 - 10940853*f**2 + 229758599*f\/3 - 536104198\/3.\nAnswer: (f - 7)**3*(f + 1562986)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(1*-2) - 1518\/2530 and -23\/835?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 32*o**3 + 40*o**2. Let m(q) = 33*q**3 + 41*q**2. Let c(t) = -2*m(t) + 3*r(t). What is the third derivative of c(p) wrt p?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v. Let y(q) = 440*q**2 + q. Calculate d(y(g)).\nAnswer: -2200*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.228*-2281.\nAnswer: -520.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9514\/7 - 38035\/28. Which is the third biggest value? (a) t (b) 5 (c) 7\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 28*w + 57. Let r be f(7). Let k = 95 + r. Solve 0 = 2*i - 7 + k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttydtyyt. What is prob of picking 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 547.35 to the nearest 10.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32\/3 + 8*f + 2*f**2 + 1\/6*f**3 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 332*m + 112 - 219.\nAnswer: 332*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let n(q) = -2*q**2 - 2*q - 3. Calculate c(n(x)).\nAnswer: -2*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 15 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -3, 22, -1\/3, 65.99, 4\/7, 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 - 7*c + 51. Determine g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {s: 1, r: 3, b: 3, q: 6}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(6*(-3)\/(-372)))\/(5\/(-5)). Which is greater: m or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(63)*1 - sqrt(63)) + 2 + sqrt(567)\/(sqrt(36)\/sqrt(4)) - (-1 + 1 + sqrt(1008))*-3.\nAnswer: 2 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/9 + (14 - (-384)\/(-27)). Suppose -d*j + 163596 = 4*r, 0 = -2*j - 3*r + 6*r + 81803. Round j to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -1304?\nAnswer: 8\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.61 - -35. Let r = -0.11 - y. Which is the smallest value? (a) r (b) -1\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-30)*(-30)\/8. Suppose -3*x + 7 = 5*f - 0, -15 = -5*f + o*x. Solve -2*d + 12 = -5*i, 0 = -0*d + f*d - 2*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiwwabw. Give prob of sequence ai.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/1127 and 81\/490.\nAnswer: 11270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21402.02 litres?\nAnswer: 21402020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 2. Let c be v(-2). Suppose p = 2*t - 0*t - 16, -c*p + 2*t = 40. Let g be (-1)\/3 - p\/6. Put 5, g, 4 in descending order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 3 + 3*p - 4*p. Let n be 8\/10*25\/(-10). Let h be o(n). Solve -2*b + 3*b + 4 = -w, 0 = -h*w - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -198b - -7?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x. Let i(r) = 2101*r**2. Calculate i(d(t)).\nAnswer: 302544*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 24*o - 45. Let f be v(5). What is the second derivative of 29*j**4 - 105*j**4 + j**3 - f*j - j**3 wrt j?\nAnswer: -912*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = -5*m, 3 = 3*y - y - m. Suppose -5*x + 16 = y*z, -x = -2*x - 1. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + q**2 - 49*q + 221. What is the remainder when 475 is divided by t(-8)?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (-6*2*sqrt(153) + sqrt(153)))*-6)\/(-4*-2*sqrt(81) - sqrt(81)).\nAnswer: -24*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -63*b**3 - 64. Let q(t) = -31*t**3 - 32. Suppose 59 = 2*y + 2*y - 5*c, 5*y - 4*c = 67. Let z(x) = y*q(x) - 6*m(x). Differentiate z(g) wrt g.\nAnswer: 111*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1011?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z**5 - 1552*z**4\/3 - 4094*z**3 - 17120*z**2\/3 + 3816*z - 480 = 0 for z.\nAnswer: -4, -3, 2\/11, 1\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r**2 + 26*r + 11. Let x(m) = 5*m**2 + 13*m + 5. Let w(s) = 4*t(s) - 9*x(s). Suppose -1 + 11 = -l. What is the units digit of w(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653861749 to the power of 1\/3, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*w - w = 4, w = 2*d + 2. Let a = -0.3 + 0. Let p = 0.5 + a. What is the closest to -1\/4 in -0.3, d, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2451 + 7464 + 5840 + 1917)*(2*h**2 + 0*h**2 - h**2) to n*h + z*h**2 + b and give z.\nAnswer: 17672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 461517 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.6*0.5.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/364 and 13\/2102716.\nAnswer: 27335308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 - -100452?\nAnswer: 100344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/33440 and -59\/220.\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 1, l: 1, t: 1, c: 2, j: 1}. What is prob of picking 2 w and 2 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/264 and -65\/970678.\nAnswer: 128129496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -121 times 138399.6\nAnswer: -16746351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.15 (b) -0.5 (c) 0.1 (d) 3 (e) 4\/31 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35\/(-210))\/(1\/(-2)). What is the closest to l in 3, -3\/2, -21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + -1*sqrt(1088) - (0 + sqrt(1088))*6).\nAnswer: -56*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-553)\/(4582\/58)*((-465)\/(-7))\/(-5)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.57 - 0.43. Let c = 1.3 + h. Let v = 84 - 423\/5. What is the closest to 0.3 in 3, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 32*z - 46*z - 41*z - 27*z. Let r(s) = -2*s**2. Give r(m(w)).\nAnswer: -13448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 24*d - 91. Let m be z(-7). Let v = m + 286. Calculate the least common multiple of v and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Which is the nearest to 0? (a) x (b) -0.4 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 7560*m + 15132.\nAnswer: -3*(m - 2)*(m + 2522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 - (-23 + 17) - 10.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16360*f - 15891. Is o(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6119.6 - -6120. Let t = 4 - 3.9. Which is the second smallest value? (a) 0.02 (b) t (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98060 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + -15. Let x = -22 - o. Let p(g) = -13*g**3 + 5*g**2 + 75*g + 67. Let c be p(-1). Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 30*w**2 + 37*w + 79. What is the units digit of n(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 924 divide 11906974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - -7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**5 + 30*r**4 + 165*r**3 - 230*r**2 - 360*r = 0.\nAnswer: -4, -1, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*a + 4*a. Find the third derivative of -k**3 + 2*k**2 - 2*k**a + 2*k**3 - 3*k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 0. Let w = u - 1. Let q be (w - -1)*6\/(-9). Solve 0*x + x = -q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = -363. Let h(d) = -d**3 - 9*d**2 - 13*d - 8. Let u be h(-8). Suppose 0 = 2*n + 10 - u. Calculate the highest common factor of n and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-12)*2*2\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72453, -72455, -72447, -72423, -72377, -72303?\n\"Answer: c**3 - c**2 - 6*c - 72447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416550592?\nAnswer: 2, 17, 97, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + 0.7. What is the third biggest value in -1\/2, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyyyyttyyytyyytttytt. Give prob of sequence tty.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646536 is divided by 323266.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i + 245 = -61. Solve 91*p - 900 = -i*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 3*o**2 - 5*o + 3. Suppose -10 = -3*d - 1. Let j be k(d). Suppose 0 = 4*a - 79 - j. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 15*o**2 - 11*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.368288114 to 2 dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 100*l**2 - 85*l - 1643. Give t(101).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6013504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**3\/3 - 7. Let p(g) = -14*g**2. Give j(p(r)).\nAnswer: -196*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/705733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126999640?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n**2 + 4*n + 1. Let g(j) = 17*j**2 - 6*j - 2. Calculate -5*g(k) - 8*s(k).\nAnswer: 3*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60672 * -0.4.\nAnswer: 24268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1775*q**3*z + 53*q**2*z + 206663*z wrt q?\nAnswer: 5325*q**2*z + 106*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b\/b**(2\/21)*b*b*b*b)\/b)\/b)\/b)**(-21) assuming b is positive.\nAnswer: b**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 = -3*n, 3*m - 19 = -3*n + 2. Suppose m*z + 4*r = -0*z + 38, 0 = -2*z - 5*r + 39. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -213571*c + 623407.\nAnswer: -213571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose 0*a - o = -2*a. Let b be ((-21)\/(-30))\/(-7)*a. What is the biggest value in 2, b, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1324476 or 1324471?\nAnswer: 1324476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3892183157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 19. Let g be f(-8). Solve 0 = 5*r - g*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -25) + 1 + -3. Suppose -k = -3*a + o, 0*a + 55 = 5*a + 3*o. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/5 - 6*k**4\/5 - 18*k**3\/5 + 54*k**2\/5.\nAnswer: 2*k**2*(k - 3)**2*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 19?\nAnswer: 61\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.41262g to tonnes.\nAnswer: 0.00006841262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -828704, -3315072, -7459028, -13260578, -20719728, -29836484?\nAnswer: -40610852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*k*m**3*o**2 - 859*k*m**3*o + 5*m**3*o + 6*m**2 - 40*m*o**2 + 6*o**2 + o with respect to k.\nAnswer: -160*m**3*o**2 - 859*m**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 116. Calculate the smallest common multiple of (-3)\/8 + 182\/16 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8848397, 8848419, 8848455, 8848505, 8848569?\nAnswer: 8848647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4752 (b) -2 (c) -13 (d) 1 (e) -3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30150628271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -47. Suppose 3*h - d = -9. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486750 and 243375?\nAnswer: 486750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**4 + q**3 + 1. Let m(s) = 7*s**4 - 7*s**3 - 8*s**2 - 3. Let b(u) = m(u) + 3*o(u). What is k in b(k) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/(-9))\/((-14)\/(-231))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814211 is divided by 693?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*l + 96. Let s(x) = 15*x + 32. Let y be s(-2). Suppose 2*h - y*q - 3 = 21, 4*q = 0. Calculate the smallest common multiple of l and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 275*c**2. Let b(d) = 20389*d - 7*d**2 - 20389*d. Determine b(m(l)).\nAnswer: -529375*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qncccddddccdcdcdccqd. Give prob of sequence qq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 479951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104170?\nAnswer: 2, 5, 11, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 7:15 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 126239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -817, -2096, -3365, -4624, -5873, -7112?\n\"Answer: 5*i**2 - 1294*i + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 3*m**2 + 3*m**2)*(-27*m + 166 - 166) + (m - 4*m + m)*(0*m**2 - 2*m**2 + 0*m**2) + m**3 + 2*m**3 - m**3.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1966 + 284 = -29*d. Calculate the remainder when 168 is divided by d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(d - d + d)*(2*d**4 - 2*d**4 + 3*d**4).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = d + k + 9, 10 = -2*d - 4*k. Suppose q + 2 = 4, 4*f - d*q = 26. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*u - 5 + (5 - 2 - 2)*(-u + 4*u - 2*u) - 2*u + 0*u + 0*u - 1 + 3*u - 4*u + 4*u as c + r*u and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 0.0053.\nAnswer: -0.1219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*w + 110 = 7*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 9. Let i be h(6). Suppose -l = -3*b - 2*l + 24, i*b = 5*l + 42. Is 3\/(b\/48) + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 16 (c) 1\/4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9 - 4.47. Let l = 0.6 + v. Is l != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0)*(17 + -20). List the prime factors of 908 + -1 + c - 2.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8646)\/(-128))\/(-11)*21\/((-19656)\/(-32)) and 87\/40?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.1. Let s = 0.29 - 0.89. Let y = s + i. What is the third biggest value in y, -0.2, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7340 = -t, 0 = -5*r + 30*t - 34*t + 9175. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 5*p - 4. Let i be r(1). Suppose 46*t - 109 - 627 = i. What is the greatest common factor of 400 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139.9931 + 140. What is v rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 - j + 7*j**3 + 90*j**2 - 88*j**2 - 2*j**3 + 2*j**4 in the form o*j**4 + v*j**3 + t*j**2 + f + q*j and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {u: 3, l: 1, h: 1, f: 4, n: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwbjljll. What is prob of sequence wj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 542832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4147 and 574838?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**4\/7 - 153*k**3\/7 - 33160*k**2\/7 - 22644*k + 64400 = 0.\nAnswer: -322\/5, -7, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*x - 8127 = 0, 3*w + 4*x - 3461 = 1420. List the prime factors of w.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601310 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {u: 6, i: 1, t: 12}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -32*t + 258. Let d be o(8). Let v(j) = 2*j - j + 3*j - 440 + 448 - d*j. Determine v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 73. Suppose p*w = 4*j - 478, -4*j = -2*w - 303 - 177. Let u = -116 + j. Sort 1\/6, 1\/2, 1, u in descending order.\nAnswer: u, 1, 1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f**3 - f**2 + 2*f**2 - 1 + 0. Let j be p(-1). Solve 5*k - j = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 4, 0, -47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d\/(d**(1\/8)\/d))\/(d**1\/d)**(-28))\/((d**(1\/2))**8\/(((d*d**(1\/4))\/d*d)\/(d\/(d*d\/d**(1\/9))))) assuming d is positive.\nAnswer: d**(1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*(-4)\/(32\/76)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14.1 (b) -2 (c) 6\/7 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50145885 or -50145882?\nAnswer: -50145882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*d + 11, -a + 4*a - 4*d = -8. Solve -a*p + 0*k = k - 3, 4*k = -5*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2785981*p**5 + 4*p**4 + p**2 - 12042012*p.\nAnswer: -55719620*p**3 + 48*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8050886 days in minutes?\nAnswer: 1159.327584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3414*h - 17509 - 9803 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 196178 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 13 + 33 = -2*h, 24 = -4*h - 2*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8034687 greater than -8034687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 2*c - 5. Let f(i) = 4*i**2 + i + 4. Let v(g) = g**3 + 2. Let p be v(-2). Let a(m) = p*f(m) - 5*q(m). Let u = -18 - -15. Calculate a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 + 8 + 603\/180 + 2\/8. What is the second biggest value in -15, y, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42079 is divided by 1025.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 34 + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -341 - -334. Put -2, u, 0, 0.1 in decreasing order.\nAnswer: 0.1, 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24, -23, -22, -21, -20, -19?\n\"Answer: s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -a293?\nAnswer: a289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1999 - 1669. Calculate the remainder when l is divided by 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g + 4. Let v be t(3). Let l be v\/(-18) - (-122)\/(-18). Let b = l + 31. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.88434 + 0.06714. Let g = -2.8 - v. Round g to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -46, -59, -76, -97?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(((-256)\/4)\/(-8)). Let f = 185\/12 - r. Suppose -2\/3*o**2 - f + 20\/3*o = 0. What is o?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 3 (b) 24\/5 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109068 - 79*v + v**2 + 152*v - 72*v.\nAnswer: v**2 + v + 109068","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = 0, o = -3*x - 8 + 9. Solve -2*n - 20 = x*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*w - 40 = 14, 2*w = 2*i - 34. Calculate the remainder when 70 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + n - 90 = 0, 0*c + 172 = 2*c - 2*n. Let g = 123 + c. List the prime factors of g.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.97*1.74\nAnswer: 3.4278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4217\/7952 - -33171401\/1455216. Let y = f - 91\/61. Calculate the common denominator of y and 119\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - (6 + -12))*(-2)\/(-4). Let g = a - -12. Solve i + g = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/655 and -105\/13028212?\nAnswer: 65141060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:32 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.56 - -0.14. Let k = 0.9 - 0.3. Let g = o - k. Which is the nearest to 5? (a) 1\/3 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 173012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 9*j**2 + 7*j + 17. Let u be m(8). Calculate the remainder when 89 is divided by (u\/6)\/((-2)\/(-24)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -376.134 - -227.17. Let c = p + 146.6. Let u = c - -2.11. What is u rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*g - 6, 5 = g + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -817, -1227, -1637, -2047, -2457?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*-7705*10\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 286263613 and -4?\nAnswer: -1145054452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhi when three letters picked without replacement from mmxmrimihhi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2064364 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*z - 4, 813*z - 35 = -5*b + 818*z. Solve -3*j - b*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112983 divided by 39\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20438 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - (-192)\/(-580). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 5*h + 0*h)*(-5*h + 5*h - h) + (-4*h + 0*h + 3*h + (15 - 25 + 14)*(4*h - 2*h - h))*(3*h - 3*h + h) to u + i*h + p*h**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbqzrzzzzrzbrzzzzqz. Give prob of picking 1 b, 1 r, and 2 z.\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -195*r**3 + 10*r**2 - 8*r - 9. Let n be b(7). Let c = -14360 - n. Round c to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 20*p**2 + 7*p + 69. Let l be z(20). Calculate the greatest common factor of 114 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (54\/480*4*5\/3)\/((-17010)\/432)\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(272))**2 + 5*(-2*sqrt(17))**2*-6 + -3)*-3.\nAnswer: -72*sqrt(17) + 5286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 69*h - 129. Let m(o) = 70*o - 129. Let i(c) = 3*l(c) - 4*m(c). What are the prime factors of i(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, 0.8, -0.19, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d + 7*q - 6*q - 2 = 81*d, 0 = 4*d - q + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14186 (b) 0.03 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.8 - -20. Round a to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/w**(2\/3)))\/(w**(-5\/3)*w)*w**(-11)\/w**(-1\/2) assuming w is positive.\nAnswer: w**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1162a - -15d?\nAnswer: -114bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 13484205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 12*r + 7. Let n be l(-11). Let t be (-6508)\/(-36) - n\/18. Let p = 305 - t. What is the remainder when p is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0 + (1 + 3 - 3)*(3 + 2 - 6) - 2 + 2 + 1 + 0 - 1 + 0 + 2 + 0 + 0 + 4 - 1 - 2 - 1 - 3 + 6)*(15*i - 45*i - 42*i).\nAnswer: -360*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 378?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 24. Let v be n(-20). Let c be (3 - v\/(-12))*(-6)\/4. Is c bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from {j: 2, f: 3, q: 3, a: 1, c: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + a + 2, 4*a + 12 = 0. Suppose -2*g + 7 - 1 = u. What is the units digit of 35 - (g - 2)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17181 and 56649.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15362.3 and 2?\nAnswer: 15364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2\/(-3))*-6. Let q = 0 + 8. Let h be 60\/q - 2\/(-4). Solve -3*x + r = -h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (7 + -2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -107*h**2 - 3*h - 30. Let s(c) = 83*c**2 + 2*c + 32. Calculate -5*s(i) - 4*y(i).\nAnswer: 13*i**2 + 2*i - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 46*n**2. Let l(z) = -4*z**2 + 338*z + 4. Let r(h) = -h**2 + 78*h + 1. Let m(w) = 6*l(w) - 26*r(w). Calculate m(o(q)).\nAnswer: 4232*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/18 (b) -0.058 (c) -9 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -49*c - 161. Let r be i(-9). Let d = 298 - r. What is the remainder when d is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2045*o + 1650 = 2100*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -5. Let l = c - -37. What is the remainder when l is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 4890.\nAnswer: 53790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 2)*(1 + 3 - 3)*(6*d - 3*d + 3*d).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*u + 22*u + 3*u**2)*(1 + 7*u**2 - 3*u**2 - 5*u**2).\nAnswer: -3*u**4 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -256 - 131 - 308 + 168 - 78 - 2*v**2 in the form i*v + q*v**2 + c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 543 + -526. Calculate the remainder when 1848 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let x be 9\/(-7) + 2\/7. Let d(k) = -5*k. Let n(v) = x*d(v) - s(v). Let y(f) = f. What is y(n(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**18*m*m)\/m*m**9)\/(m**(-8))**(-32))**(2\/33) assuming m is positive.\nAnswer: m**(-152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -285003 bigger than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -58*h**2 + 3*h + 2*h**3 + h - h + 55*h**2. Let j(w) = -10*w**3 + 16*w**2 - 16*w. Calculate -3*j(d) - 16*k(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s**2 + 4*s - 2. Let u(a) = 300*a**2 - 110*a + 55. Let h(y) = 55*r(y) + 2*u(y). Let w(f) = 18*f. What is h(w(c))?\nAnswer: -1620*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -501747 (base 9) in base 3?\nAnswer: -120001211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5426838 divided by -904473\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 23) + 15 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Suppose -49 = -433*n + 426*n. Solve -n + 32 = -b*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 1.6. Which is the biggest value? (a) -1\/3 (b) f (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j*u**2*x + 2*j*u**2 - j*u + j*x - 36*j + 5*u*x wrt u.\nAnswer: -6*j*u*x + 4*j*u - j + 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96511 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let x(j) = -288*j**2 + 8*j + 3383. Give x(k(v)).\nAnswer: -288*v**4 + 8*v**2 + 3383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31322112 + 0?\nAnswer: -31322112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 8. Let f be (-2)\/3*1*-6. Let o be 3\/9*(f - i). Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161740, -169875, -183434, -202417, -226824, -256655, -291910?\nAnswer: -332589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 4*u - 6. Suppose -d = -5*d - m - 11, -4*m - 8 = 4*d. Let g be 2\/d*60\/8. Determine x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3777697928.\nAnswer: 2, 23, 37, 554891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 277?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 9. Let x be q(6). Suppose -x*k = 2*k + 5. Calculate the smallest common multiple of 1\/(k + (-12)\/(-8)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p + 76*p = 20*p + 393 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 b when four letters picked without replacement from xbbxxbkkbxxxbbb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ff (base 16) in base 14?\nAnswer: 91d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - m - 10 = k, 4*k + 3*m = -14. Let o be 2\/k*(-2 + 2). Let z(b) = -2*b + 16. Let c be z(2). Solve o = -n - 3*n + c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 22460 in descending order.\nAnswer: 22460, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4497*d**3 - 8*d**2 - 16*d - 5. Let v be h(-5). What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 907810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-6))\/(10\/33) and 298\/(-48)*8\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*f - 13, -4*v = 2*f - 15 - 7. Solve v*c + 10 = -4*m, 7 = -2*c - 2*m + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/2 + 74\/(97 + 51)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1911 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (416 + 716 - 464)*(-2 + 2 + 3*a + (0*a - 2*a + 4*a)*(2 + 0 - 1) + 8 + 2*a - 8) as z + s*a and give s.\nAnswer: 4676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -283754 - 421398. Calculate the highest common divisor of n and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 92.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 + 95*q**2 + 78*q + 479. What is j(-23)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 1, v: 4}. Give prob of sequence uuvq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (14 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose 3*d + a*d + 15 = 0. Put d, 0, 0.2 in descending order.\nAnswer: 0.2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674e8d (base 15) to base 13\nAnswer: 1036a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -39. Let b = g + -29.99498. Round b to 4 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3696013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(65)*-1 + sqrt(65)))\/(sqrt(5) + sqrt(30)\/sqrt(54)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/((-52)\/(-78)). Put 1, -478, -2, d in ascending order.\nAnswer: -478, -2, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -47. Let r be 1*13 + 20 + m. Solve -r = 3*j - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 7:52 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 65 = -3. Let r(d) = 2*d + 1. Let n be r(-5). Let z = l + n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = 5*h. Let q = 1 - h. Solve -w + 2 = u - 3*u, 0 = 3*u - q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 98, 168, 258, 374?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 328.82541835+-31811\nAnswer: -31482.17458165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*n**4 + 2*n**3 + 355*n**2 wrt n?\nAnswer: 936*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001431 - -24?\nAnswer: 1002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 20*t = -3*t + 192 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (-5 - -3) - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1761 divide 12380506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6372 = -101*x - 4958 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (2*sqrt(500) + sqrt(500) - -4*sqrt(45)))*4)**2.\nAnswer: 2688*sqrt(5) + 141184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16867 - -21?\nAnswer: -16846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.713 and -32.\nAnswer: -33.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17262085 to five decimal places.\nAnswer: 0.17262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10*u**2 - 1037*u - 1415. Let p(b) = 16*b**2 - 2074*b - 2831. Let x(a) = -5*k(a) + 3*p(a). Differentiate x(j) with respect to j.\nAnswer: -4*j - 1037","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(64\/(-3)) + 4 + (-188)\/32?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/(n\/(n\/(n\/(n*n\/n**(-2\/21)*n)*n)))*(n**(1\/3)\/n)**(-2\/57)*(n**(-1)\/((n*n**(-1))\/n*n))**(-45) assuming n is positive.\nAnswer: n**(49219\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2779834 litres in millilitres?\nAnswer: 277.9834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(-1197))\/((-2)\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/4 + 5*w**3\/3 - 2*w**2 - w - 2. Let f be t(3). Find the first derivative of -3*g**3 - f*g - 2 + 5*g wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 5*i - 3 + 8*i**3 - 7*i**3 + 4*i + 5 as k + r*i**2 + g*i**3 + h*i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 22. Let x be z(-12). Suppose 2*u - 12 + 357 = 3*m, 5*u + 230 = x*m. What are the prime factors of m?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55892 and 1705278893.\nAnswer: 13973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, -0.4247.\nAnswer: -5, -2, -0.4247, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buub when four letters picked without replacement from {v: 2, b: 9, d: 5, u: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 4)*(-51 - 45 + 20)*(-2*u - 2 + 2).\nAnswer: 304*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2899 is divided by 171.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(1*sqrt(4)))\/sqrt(4) + 2.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 4*w**3 + 2*w**3 + (2 - 2 + w)*(3 + w**2 - 3) + 8*w**3 + 30*w**3 + 54*w**3 to a + h*w**2 + r*w + n*w**3 and give n.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2073 - 4140 + 14*z + 2083 + 8*z.\nAnswer: 22*z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-24) + (-1)\/(-4). Let y = -2802 - -2775. Which is the nearest to j? (a) 3 (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(1960\/(-42))\/10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 5*f + 9. Let j be (-104)\/(-12) - 2\/3. Let w be i(j). Is w at most as big as 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20142, -20503, -20864, -21225?\nAnswer: -21586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {b: 1, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56660 and 436?\nAnswer: 6175940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 18*o**2 + 30*o + 4 + 34*o + 18*o + 69*o**2 - 5*o**3. Let p(t) = t**3 + t - 1. Let x(s) = 4*p(s) + w(s). What is the second derivative of x(q) wrt q?\nAnswer: -6*q + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/36 + 752\/18. Let a = -20 + u. Let w = 38 - a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2269, -4509, -6749, -8989?\n\"Answer: -2240*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.1, 27, 2 in ascending order.\nAnswer: 0.1, 2\/9, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2796649632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1 + 0 + 0. Let s = -7700 - -7700. Which is the closest to s? (a) -0.4 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjjj when four letters picked without replacement from jjjjjrrrjjjjrj.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13059*d**6*x - 2*d**3*x**2 + 277*d**2*x**2 - 6*d**2 + 2*d*x**2 wrt d.\nAnswer: -1567080*d**3*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 930962135 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23711 or -23687?\nAnswer: -23711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*k + 10, 2*x + 2*k - k = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 6266, -1\/4 in descending order.\nAnswer: 6266, 2, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bb (base 12) to base 7.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37238*c**2 - 272*c**3 - 37238*c**2.\nAnswer: -272*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 5*y - 106. Suppose 0*g = -3*g + 105. Let n = y - g. What is the smallest common multiple of n and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011 (base 2) in base 12?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w + 6. Let j(i) = 3*i + 3. Give 3*b(q) - 7*j(q).\nAnswer: -3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:29 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3.9, -3, 3803, -0.3 in descending order.\nAnswer: 3803, 3, -0.3, -3, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {q: 2, v: 8, k: 5, r: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 488 + -185. What are the prime factors of o?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -346.1 + 346. Sort 0.0635, 3, u.\nAnswer: u, 0.0635, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 82 = 12*v. Let t = v + 44. Suppose 0 = -x - 3*x - t*l + 63, 0 = 4*l + 12. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.104 + -1.104. What is the fourth smallest value in -2, a, -1\/6, -2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.83092 millilitres to litres.\nAnswer: 0.06783092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) - 1*-2*sqrt(504) - sqrt(504) - sqrt(504) - sqrt(504))\/(1*sqrt(567)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*b = -283 + 300, q = -4*b - 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 4)\/(2\/151). Let o be (-15)\/(-6)*(5 - k\/(-60)). Let d = -36 + 145\/4. What is the second biggest value in 0.2, o, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23200 divided by 2\nAnswer: 11600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1227 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 312514553 - 10?\nAnswer: 312514543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0492 + -21.8508. Let h = 22 + k. Which is the second biggest value? (a) -0.2 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 7. Suppose 5*p + 0 = 30. Let c(s) = -4*s - 6. Let a(r) = p*c(r) + 5*d(r). Is a(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**8\/m)*m**(3\/2)\/m*(m*m**(-1\/16))\/(m**(-34)*m) assuming m is positive.\nAnswer: m**(439\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17248 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -109. Are i and 34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {y: 7, m: 2, a: 1, e: 3, c: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + 191 + 2*g**2 - 2*g + 16 in the form c*g**2 + w*g + f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let x be l(-2). Let c(s) = s + 5 - x*s + s**2 - 8. What is c(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-6) - -5*(-28)\/(-105)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5079 + 5103. What is the remainder when 499 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268419 is divided by 988?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -81*-68928\nAnswer: 5583168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 5. Let g(m) = -m**3 - 5*m**2 - 9*m - 11. Let j be g(-4). What is the second derivative of -15*o**c + 7*o + 6*o**4 - j*o**4 wrt o?\nAnswer: -216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*g - 437, -g + 0*g + 576 = 4*h. Let p = h + -97. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from ooooororrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(42\/4)*287\/5617\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32497, 32521, 32553, 32587, 32617, 32637, 32641, 32623?\nAnswer: 32577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 16 = 2. Let j = l + 8. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - j + 11 = -3*j, -5*a + 18 = -3*j. Suppose c - 1 = a. What is the least common multiple of 14 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4 = -2*l - 18, -d + 2 = -l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 17) + 1 + 3 + -3 - -28\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(-1) assuming u is positive.\nAnswer: u**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/58 in 1, -7\/3, 2\/5, -1, 9.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.07 + 0.07. Let t = 6.1 + -6. Which is the third smallest value? (a) x (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 23 = -3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31601, -3\/46, 2\/29?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 5, b: 8, c: 1}. What is prob of picking 1 r and 2 z?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93\/4 - 23. What is the closest to -0.2 in w, 2\/7, 5\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a29 + -4034?\nAnswer: -360b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1610 + 3213 + 357*j**3 - 422*j**3 - 1603 + 228*j**3.\nAnswer: 163*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*w**5 - 7*a*w**2 - 7*a*w - w**5 - 2*w - 13 wrt w?\nAnswer: 60*a*w**3 - 14*a - 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/12 - 70\/(-6). Suppose 4*y - 5*y + 2*x + 15 = 0, 4*x = -d. Is 7 a factor of -2 + 60\/y*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 32. Suppose m = 8*l - 4*l - 40. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5256 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 2, d: 9}. What is prob of sequence mdd?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.148 - 0.14800211. What is f rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 0.1014238.\nAnswer: 0.7014238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21396*k = 4*a - 21401*k - 35, 2*a - k = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 13622?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 10. Let g be p(11). Let h be -9 - g*(-1 + 2). Let a = 11 + h. Solve 3*t = -a*b + 15, 3*t = -b - 9 + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 3, 4, -257?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttsttt.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 55 = -11. Let s be (c\/(-10) - -2)\/((-7)\/245). Solve 5*d = -v - 18, 0 = -3*v - s*d + 3*d - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 1. Let b(i) = 3*i**2 + 2. Let x(u) = -b(u) - 2*h(u). Let f(t) be the second derivative of t**4\/4 + 7*t**3\/6 + 2*t + 547. Give x(f(g)).\nAnswer: -45*g**4 - 210*g**3 - 245*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 77, 0, -3, 97 in decreasing order.\nAnswer: 97, 77, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 times -3?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:43 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 0.6802, -4, 0.14, 0.2, 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(0*d**2 + 2*d**2 - 3*d**2) + 3*d**2 + 0*d**2 + 3*d - d - 5 - d**2 + 5.\nAnswer: 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36062716.\nAnswer: 2, 37, 139, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 473.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13a05 (base 13) to base 9\nAnswer: 55481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/84 and (11 - (-5800)\/(-528))*(2 + -45)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2302321213102?\nAnswer: 2302321213100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2740028520.\nAnswer: 2, 3, 5, 113, 202067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 6*j**2 + 472*j + 732. Calculate w(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8\/11))**(5\/9)*(s**(-25))**(-15) assuming s is positive.\nAnswer: s**(37085\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6509)\/207 + ((-4)\/(-10))\/(144\/(-40)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4366205\/(-15))\/((-2)\/30). Suppose 2861734 = -2*x + 8794144. Let o = x - k. Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81032 and 284?\nAnswer: 5753272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511096989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 1*-1*sqrt(91))\/(sqrt(28)\/sqrt(4)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(28)\/(sqrt(4)*-1))**2 + ((sqrt(7) + -1 - sqrt(7)) + 3)**2) + sqrt(567) + (sqrt(567)*-3)**2 + -1*sqrt(21)\/sqrt(3).\nAnswer: 8*sqrt(7) + 5070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/10 in -3, -0.1, 5, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569 + 1479 - (-4 + -141)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4452.96 rounded to the nearest one hundred?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1581, 3, 4, -3, 2 in descending order.\nAnswer: 1581, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 6*p + 15. Calculate z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4\/47, -4, -2, 17, 9\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481.96 rounded to the nearest ten?\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 16*d - 77 = 0. Let m = -56 + d. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 - -111. Let n = l + -301. What is the greatest common factor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1102 - 452013?\nAnswer: -450511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 21 - 11*b + 4 - 5. Let h(w) = 11*w - 21. Let k(y) = 2*g(y) + 3*h(y). Let t(n) be the first derivative of -n**2 + 4*n - 1. What is -6*k(r) - 34*t(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 - 892*h**2 - 146495*h + 600316 = 0. What is h?\nAnswer: -673, -223, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42694451551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107 and -45945?\nAnswer: -4916115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Solve 3*p = -2*y + 10, 5*y - m = -2*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43248*c**2 - 33398*c**2 + 76648*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408062 and 2984?\nAnswer: 1632248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9728686 rounded to 1 dp?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40273 * 3.\nAnswer: 120819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 106b296 (base 14) to base 5\nAnswer: 3443300430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**6 + 40*h**4 + 251*h**2 wrt h?\nAnswer: 360*h**3 + 960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8034 divided by -6\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 4*u + 184 = 0. Which is greater: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waye when four letters picked without replacement from {f: 1, a: 1, y: 1, w: 1, e: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(65) - sqrt(65))*-2 - sqrt(65)*1*5)*2)\/((sqrt(245) - (sqrt(245)*1 - sqrt(245)))*-2*2).\nAnswer: -sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 2 (b) -0.4 (c) 3\/2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46689289*g = 46689279*g + 2*j + 24, 0*g - 2*j = -2*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45974 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 2*s**4 - 4*s**4 + (4 - s**3 - 4)*(2*s + 2*s - 2*s) - 4*s**4 + 0*s**4 + 5*s**4.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/40 and 37\/28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/((y\/y**(-6\/11))\/y)))\/y*y)\/y)\/y*(y**(3\/4)\/y)\/y)\/(y*y**(-4)*y*y*y*(y\/((y\/(y\/y**(-2\/3)))\/y*y))\/y) assuming y is positive.\nAnswer: y**(-445\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {j: 2, q: 2, b: 1, o: 1, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 1. Let c be w(-2). Suppose -c*h = -0*h. Suppose 4*k = -h*k. Sort -3, k, -4.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52*2\/12)\/(2\/3). Calculate the greatest common divisor of 26 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + 17. Let t be a(2). Suppose 0*c = 3*c. Put t, -2, c in decreasing order.\nAnswer: t, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-6*sqrt(208)*-2 - (-1 + sqrt(208))*5))*-5 + 1.\nAnswer: -140*sqrt(13) - 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 499.0462 microseconds?\nAnswer: 499046.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a4 (base 13) in base 4?\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1098, 991, 896, 819, 766?\n\"Answer: z**3 - 114*z + 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 579139 and 20102.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-15)\/210 + 374*18\/168 and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 718 = -752. Suppose -2 = -2*y - 10, 0 = -2*n - y + a. Suppose -3*q - b + n = 0, -q + 44 + 34 = -4*b. What is q rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 22. Let t be x(-11). Is 0 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2508\/(-8))\/11*(-64)\/32.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*u - 3*q, -2*u - 8 = -u + 3*q. Let b be u\/((-5)\/4) - -4. Solve a = 5*v + 17, -2*a - b = -6*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2 + 184*h + 4232 = 0.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 6. Let p(r) = -r. Suppose 4*w - 13 = -3*q + 6*q, 3*w - 5*q - 18 = 0. Calculate w*i(s) - 6*p(s).\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 376401.\nAnswer: 4\/376401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -28.7. Let j = -1 + -3. Let h be 2\/((-5)\/(25\/2)). Which is the nearest to -2\/9? (a) h (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 11*i**4\/12 - i**3\/2 + 3*i**2\/2 - 96*i. Let d(k) = -56*k**2 + 16*k - 16. Give -3*d(w) - 16*l(w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -14?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**8\/42 - 19*z**7\/105 - 11*z**6\/20 + 13*z**5\/30 + 29*z**4\/12 + 2*z**3 + 2*z**2 + 123*z. Let c(o) = 0. Calculate o.\nAnswer: -1, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039100057 take away -0.04?\nAnswer: 0.000899943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 + 2*s + 2. Let z be m(-4). Let a be 615\/z - (-1)\/(-2). Let u = -42 + a. Solve 1 = -4*d - u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1670488, 0 in decreasing order.\nAnswer: 0.5, 0, -0.1670488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 26*k = 2256. Let i = 375 - k. What are the prime factors of i?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 955*y**2 + 330*y + 13. List the prime factors of m(3).\nAnswer: 2, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.30963 * -3\nAnswer: 0.92889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 55*y + 51*y = 25, y = -5. Suppose -5*j + 17 = -3. Sort n, -7, j in descending order.\nAnswer: n, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61870.981 - 61846. Let j = 25.7 - i. Round j to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Let y(g) = -g**2 + 3*g + 4. Let w be y(x). Let q(h) = 5*h - 11. Let d be q(3). Solve -2*v - 12 = 2*s, -w*v - d*s = -v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -338*w + 22987. What is z(68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*(4 + sqrt(180)) - sqrt(180))*-4 + 3)**2.\nAnswer: 23040*sqrt(5) + 110080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.21854?\nAnswer: 0.65562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.85526ml in litres?\nAnswer: 0.02185526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10081 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28*1)\/(2\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*s - 8*q + 25, -20 = -4*q. Solve 4*o + s*o = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Suppose -5*m = -3*v - 535, -5*m + c*m + 340 = 2*v. Suppose -2*w + 3*u + m = 0, -3*w + 8*u + 167 = 4*u. List the prime factors of w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*u + 72*u = -35*u + 2365 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.302 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(7*i - 2 + 2) - i - i + i to u*i + t and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 19*r**2 + 47*r + 57. What is q(-16)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 11*z + 10. Let r be c(11). Suppose 0 = w - 3*g - 11, 0*w = -w - 4*g - r. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.11, 2\/11, 3\/5, 5, -8713\/4.\nAnswer: -8713\/4, 0.11, 2\/11, 3\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-68)*1021 + 46\/(-782). Let s(u) = u**2 + 3*u + 2. Let d be s(-5). What is the highest common factor of k and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((810\/123)\/27)\/(5\/(-4)*2).\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2825*r**2 + 2*r - 262. Let h(y) = -y. What is g(h(s))?\nAnswer: 2825*s**2 - 2*s - 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -226, 3 in descending order.\nAnswer: 3, 1, -8, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = -k, 3*n + 6 = 2*n + 4*k. Let p(a) = 3*a + 0*a**3 + 5*a**n + 1 + 5*a - a**3 - 7. Give p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499139 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 7*r**2 - 6*r. Let t be y(6). Suppose -3*g + 4 = -2. Put -2, g, t in ascending order.\nAnswer: -2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i. Let f(z) = 12*z**2. Let u(d) = d**2. Suppose -2*t - 22 + 72 = -4*v, -5*v = -t + 40. Let q(w) = t*u(w) - f(w). Calculate k(q(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 182. Suppose -7*k + 11*k = j*i + 20, k - 5*i = -3. What is the highest common factor of k and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**4 - 101*r**3 + 292*r**2 - 60*r.\nAnswer: r*(r - 6)*(r - 5)*(9*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11242398.3 + 1023?\nAnswer: -11241375.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -56*(-276)\/(-10304)*6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-6)\/4 + 0). Let g(r) = -5*r**3 + 2*r + 1. Let v be g(-1). Let t be v - (10 + -2)\/4. Solve 0*k - 5*k = b*i + 5, -3*k + 1 = t*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let k = 108 - 86. Let o(h) = h**2 - 15*h + 4. Let v(t) = k*p(t) - 2*o(t). Factor v(l).\nAnswer: -2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 4*u - u**3 + u**3 to the form j*u**2 + q*u + z + m*u**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgln when four letters picked without replacement from {l: 1, n: 1, w: 3, g: 3, a: 1, r: 6}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 greater than 4.005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**2 + 14*a**2 + 10*a**2 + (8*a - 8 + 8)*(6*a - a - a)*(1 - 2 - 1).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + 45. Suppose 3*o = -5*k + 741, -4*k + 5*o + 453 = -n. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 18*d = -30*d + 647490. Is d a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-15 - -5 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y + 3724 = -58*y. Which is greater: 4\/5 or y?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/20 - y**4\/6 - 7*y**3\/3 + 16*y**2 - y - 2. Calculate q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -409, -484, -627, -838, -1117, -1464?\n\"Answer: -34*c**2 + 27*c - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -3 (b) -1.2 (c) -120 (d) -0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48098\/7789 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/6 - (-42)\/48.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 725.9 - 687. Round g to zero decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/90)\/((-4)\/6). Sort -0.4, c, 4, 1\/3, 10\/7 in increasing order.\nAnswer: -0.4, 1\/3, c, 10\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i, 5*c = -2*i - 1078 - 1830. Let g = c - -581. Is g > -3\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - n**2 + 3*n**2)*(4*n**2 - 6*n**2 + 4*n**2) + (646 + 15*n**2 - 646)*(-1 - 5*n**2 + 1).\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p. Let t(i) = -16*i. Let x(y) = -y. Let r(b) = 6*t(b) - 120*x(b). Let v(j) = -2*r(j) - 11*z(j). Let f(w) = 2*w**2. Calculate f(v(g)).\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1171742 and 5746?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001984693 to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 273, 526, 791, 1074, 1381?\n\"Answer: h**3 + 246*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -12*l + 305. Suppose -w - 5*k + 61 = 0, -w + 2*k = -k - 37. Let d = -26 + w. What is the highest common factor of d and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 14, d: 5}. What is prob of picking 3 f?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h - 45 = -6*h + 115 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(300)*-2*4)**2.\nAnswer: 172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*g - 7. Suppose 3*w - 132 = -3*u + g*w, -2*u - 2*w + 88 = 0. Calculate the remainder when 129 is divided by u + (-2)\/(-10)*0.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 730, 740, 738, 712, 650?\n\"Answer: -2*r**3 + 6*r**2 + 6*r + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 2*z + 2*t = 2, -5*z + h*t + 37 - 4 = 0. Suppose 0 = 5*j - 5*c + c - 287, -z*c + 95 = 2*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/229, -1\/3, -1\/9 in ascending order.\nAnswer: -1\/3, -1\/9, -4\/229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**6\/360 + m**5\/60 + m**4\/6 + 7*m**3\/6 - 6*m**2. Let g(q) be the first derivative of a(q). Give g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 - 2*d**5\/15 - d**4\/3 + 7*d**3\/3 - 2*d**2. What is the tens digit of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358872413 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -74 (b) 27 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 4, t: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4003 + -9?\nAnswer: -400c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 5*b + 2407 = 0. What is the remainder when b is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172225 times -0.7\nAnswer: -120557.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -1238*s**2\/3 - 1242*s - 12 = 0.\nAnswer: -3, -6\/619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134820 and 840?\nAnswer: 269640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*w + 28, -112*h + 113*h = w + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 11 + w**3 - 23.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7953510 to the power of 1\/2, to the nearest integer?\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21223822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*i + 731*i - 570*i.\nAnswer: 422*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/15110769 and -149\/174.\nAnswer: 30221538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvpffvpvvvvvlvplvlv. Give prob of sequence ffvv.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/30)\/((-2)\/(-6)). Let k(b) = -4*b - 12. Let c be k(-6). Suppose -c = -4*n, u - i*n - 20 = 2. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -9 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let w = -4 + 12. Let o = -6 + w. Let y(j) = j - j**o - j. Determine g(y(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15721 + 1493459\/95. Is w at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29097 + -317457.3877\nAnswer: -346554.3877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 233.09 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) -0.4 (c) 1 (d) 3 (e) -15\/26 (f) -1\/5 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1311 and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(-39) assuming t is positive.\nAnswer: t**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12873020\/21 + -618357. Let i = g - -5359. Calculate the common denominator of i and -145\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24589*p + 17016 wrt p.\nAnswer: 24589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12136 = -10*j + 21524. Is j a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 0, 9*z = 14*z - 5*i - 750. What is the smallest value in 5, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*p = 5908 + 44538, -q + 25225 = p. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 17*p**2 - 35*p - 71. Let d be l(-15). What is the fourth smallest value in d, -0.1, -2\/9, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**4\/12 - 4*l**3\/3 - l**2 - 2*l. Suppose 0 = -16*u - 52 - 12. What is the tens digit of c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(7)*-2 - sqrt(7))**2 + 5 + sqrt(7)*2*-4 - (-1*sqrt(567) + 0 - sqrt(567))) + 3.\nAnswer: 10*sqrt(7) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1402676 divided by 781.\nAnswer: -1796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {y: 1, m: 1, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = 42*j + 413. Sort -1, -4, j, -3 in decreasing order.\nAnswer: -1, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Solve -h = -v*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984024.\nAnswer: 2, 7, 71, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - 20. What is the tens digit of (i\/(-6))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f - 6*f + (-2 + 3 - 2)*(-4 + 4 - 2*f))*(3*f**2 - f**2 - 4*f**2) - 5*f**3 + 2*f**3 + f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.941613 and 3.\nAnswer: -2.824839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -797 take away 15.8?\nAnswer: -812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 14. Let j = -3740 - -3758. What is the third smallest value in j, k, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 55 = -4*b. Let w = b + 10. Suppose 6*a = 10*a - w. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65969, 131987, 198069, 264215, 330425, 396699?\nAnswer: 463037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 - -11.8. Let t = j - 9.9999975. Round t to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (8\/(-2) - (5 - 7)). Let p(m) = -35*m**3 - 8*m**2 + 11. Let n(i) = -12*i**3 - 3*i**2 + 4. Let l(y) = 8*n(y) - 3*p(y). Calculate l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1045 and 62\/55?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 4*j**3 + 3*j**3 - 11*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-130)\/(-4))\/((-1)\/(-2)). What is the greatest common divisor of 195 and u?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010621156 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16)\/20)\/(1\/(-65) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - v - 19, 2*t - 5*v = 15. Solve 4*g - 2*g = -3*j + 2, j - t = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 40*f**2 - 874*f - 141. Give c(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 21*x + 1. Let n(c) = -c**2 - 10*c. Let r(f) = 4*d(f) - 9*n(f). Let q = -2 + 20. Let l = 13 - q. Give r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1134)\/2700)\/((-74)\/740)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9 - (-1)\/(-3 + 4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138340.8 - -131288.67. Let u = 7020 + g. Let y = 32 + u. What is the second biggest value in 1\/3, y, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -127, 6, -17, -1.\nAnswer: -127, -17, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -7*w**5 + 2040*w**4 + 80488*w**3 + 1120640*w**2 + 6776400*w + 15088000 = 0.\nAnswer: -10, -46\/7, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**3 + 3*f**3 + 0*f**3)*(511 - 511 - 204*f) in the form s*f**3 + p*f**4 + d*f + j*f**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1030 - -12030?\nAnswer: 13110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2*f**3\/3 + 6*f - 2. What is the derivative of z(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - 13. Let p = -13 - i. What is the third derivative of -2*o**6 - 3*o**6 - 3*o**6 - p*o**2 wrt o?\nAnswer: -960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133139516 to the power of 1\/2, to the nearest integer?\nAnswer: 11539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 71 = -5*d + 94, -5*z + 120 = -4*d. Calculate the remainder when 59 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -757*n**2 - 1449*n + 130.\nAnswer: -(n + 2)*(757*n - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/63)\/(1\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11819 divided by 223\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = -4*o - 4*y, -2*y = -6*y - 20. Is (-14976)\/o + 6\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 0*c**3 + 2*c**3)*(14*c**2 + 2*c - 66*c**2 - 4*c) + (c**3 - 4 + 4)*(c**2 + 2*c - 2*c) + 6418 + 51*c**5 - 6418.\nAnswer: 156*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2570 or -0.7?\nAnswer: 2570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -m - 4*j, 0 = -4*m - 2*j - 9 + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 180*m**2. Let q(n) be the first derivative of 2\/3*n**3 + 0*n**2 + 44 + 0*n. Give a(q(p)).\nAnswer: 720*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 23*p**2. Let d(c) = -c - 11. Let z(k) = 2 + 3 - 3. Let l(u) = 2*d(u) + 11*z(u). What is l(y(g))?\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(24\/(-144)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - n**3 - 8*n**3 - 2*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 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 the highest common divisor of 326 and 14833?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 126 + 1?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/22 and 75\/122.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2*u - 2)*(-3*u + 1 - 1)*(4 - 3 - 9).\nAnswer: -48*u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1\/9 (c) 0.07 (d) -2319 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*u = -3, -3*s + u + 20 = 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 791652686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14 = -3*l, -2*k + 2*l = 4 - 48. Let a(c) = -c**3 + 5*c**2. Let q be a(5). Solve q = r - 4*r - 4*g + 5, -r = -3*g + k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 60*l**4 + 194*l**3 + 132*l**2 = 0. Calculate l.\nAnswer: -2, -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 196012258 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230006 and 7?\nAnswer: 230006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2364 and 11\/47376?\nAnswer: 9333072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1304*v**2 + 35*v + 205*v**2 - 19*v - 16*v + 1638*v**5 wrt v.\nAnswer: 98280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. Suppose -j + y*j = 0. Suppose j = 2*g - 2*x - 1 - 15, 34 = 5*g - 3*x. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*150\/(-45)*((-36)\/96)\/(1\/(-4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 287\/(-65) + 16\/(-64). Let f = 66\/65 + x. Calculate the common denominator of -61\/20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.29887 rounded to three decimal places?\nAnswer: 2.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.365558 litres in millilitres?\nAnswer: 2365.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 3. Let d be q(6). Let j = d + 2. Calculate the least common multiple of j\/(((-15)\/12)\/(-5)) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(60)\/sqrt(5)))\/((sqrt(3) + sqrt(6)\/sqrt(2))*-3) + -4.\nAnswer: -4 - sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from zuypupzuzyuzzykzz.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-100)*-2*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 594 + -594.000008. What is q rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2801 - 427 + 472 - 642)*(2*s - 4*s + s**2 + 1 + 3).\nAnswer: -3398*s**2 + 6796*s - 13592","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35204, 25344, 8912, -14092?\nAnswer: -43668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s**3 - 2*s**3 + 5*s**3)*(-2*s - 2*s + 2*s) - 7*s**4 + 2*s**3 - 2*s**3)*(0 - 2*s + 0).\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h**2 + 1. Let p(n) = 2*n + 3. Let t be p(-2). Let j be d(t). Suppose j*v = 3*v - 6. Solve 0 = -v*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25957 times -2538?\nAnswer: -65878866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-2 + 5 - -4) + -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6)\/((-12)\/(-32)). Suppose 4*i + c*s = 76, -2*s + 116 = 4*i - 6*s. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158603434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9765025 + 5100976?\nAnswer: -4664049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10201?\nAnswer: -10205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(1\/4)*q**(-3\/5))**(2\/57)\/(((q**(8\/7)*q)\/q)\/(q**(-4)*q))**(2\/89) assuming q is positive.\nAnswer: q**(-18731\/355110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 342859 - 342859.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q. Suppose -2*v + 170 = 46. Let c(u) = -v + 62 + 2*u. Determine c(l(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 55813412 divided by -4\nAnswer: -13953353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -132338 (base 9) in base 11?\nAnswer: -55503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 942, 1414, 1886, 2358, 2830?\nAnswer: 3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grcg when four letters picked without replacement from {v: 4, r: 1, c: 1, g: 6, d: 3}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*c**2 - 1910*c**2 + 954*c**2 - 6708.\nAnswer: 2*c**2 - 6708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11185*x - 10930*x = -5100 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/6 + 5 - (2 + 1). Find l such that 1\/3*l**3 - 1\/3*l**2 - 1\/3*l + u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * 0.05.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 16, 5\/172, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19133*i**5 - 6*i**2 + 2*i - 264 wrt i?\nAnswer: 1147980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let d(f) = -f + 1. Let w be d(1). Let c be a(w). Solve c = 2*s - 6 + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -575?\nAnswer: 575.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 434276226 or 434276225?\nAnswer: 434276226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + 6)\/((-18)\/(-478)) is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1896*i**4 - i**2 + 1502*i wrt i.\nAnswer: 22752*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154, -482, -1026, -1786, -2762, -3954, -5362?\n\"Answer: -108*t**2 - 4*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23523898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13230, -53153, -119768, -213075, -333074, -479765?\nAnswer: -653148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -c4 (base 15) to base 2\nAnswer: -10111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g*g**(3\/4)*g*(((g\/(g\/g**2))\/g)\/g*g)\/(g*g*(((g\/g**(2\/9))\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273776 and 4960?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/4 + 4*z**3 + z**2\/2 + 15*z - 11. Let p be d(-12). Solve -t = p*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25894880*j**3*r**3 + 70945*j**3*r**2 + 395*j**3*r wrt r?\nAnswer: -155369280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*q = -260 + 1259 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/21*(-1 + 4). Which is the third smallest value? (a) n (b) 5\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1819295, 3638857, 5458419, 7277981?\nAnswer: 9097543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let v(z) = -z**3 + 15*z**2 + 2*z - 8. Let l(q) = q**3 - 18*q**2 - 2*q + 9. Let x(y) = 4*l(y) + 5*v(y). Calculate x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11663306, -93306473, -314909350, -746451791, -1457913650, -2519274781, -4000515038, -5971614275?\nAnswer: -8502552346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -229464161*r**3*x - 110*r**2*x - 66*r**2 - 4*r + x + 254 wrt r?\nAnswer: -1376784966*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2) - (-6)\/(-2 + -1). Suppose s = -r + 4, 6*g - g = -r + 84. Let l be (4\/7)\/2 - g\/(-336). Sort l, 3\/5, 1\/2.\nAnswer: l, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 819818 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 531 + 5*q + 176 + 178.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 3*j. Let g be b(-3). Let t = 163\/6 + -27. Does t = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7)\/h)\/h)\/(h\/h**10) assuming h is positive.\nAnswer: h**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(2) - sqrt(30))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13876, 55415, 124654, 221593, 346232, 498571, 678610?\n\"Answer: 13850*a**2 - 11*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-4) + (-1022)\/(-126)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 691 by -691.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 9ba9?\nAnswer: -9b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*(x\/(x\/x**(2\/17)))\/x*x))*x)**(4\/21)*x**(-5\/6)\/(x**(-1\/5)*x) assuming x is positive.\nAnswer: x**(-4391\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.419 (b) -7 (c) 0 (d) -0.3 (e) 3 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, z: 2, g: 4, k: 2}. Give prob of picking 2 k and 2 j.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 3*v**2 - 3*v. Let l = -67 - -70. Let y be n(l). Let c = 67 - y. 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: Is 3030480 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2658603.\nAnswer: 3, 829, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1277253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275 and 2200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3210 - 6315?\nAnswer: -12525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*o + 17, -2*h = -6*h - 4*o + 28. Suppose 0 = h*u - 5*l - 33, -u - 3*u - 3*l = -1. Which is the third smallest value? (a) -4 (b) u (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*c**3\/6 + 2569*c**2\/6 + 740*c\/3 + 106\/3.\nAnswer: -(c - 53)*(7*c + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6959819 and 2955.\nAnswer: -6956864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 + 195*r**3 + 315*r**2 - 2095*r - 2220 = 0. Calculate r.\nAnswer: -37, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(88) - sqrt(88))\/(sqrt(200)*2 + sqrt(8)))**2 + ((-4 + sqrt(11))*1 - sqrt(77)\/(sqrt(7)*4)).\nAnswer: -40\/11 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 3852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert d62 (base 15) to base 11.\nAnswer: 22a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 82?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - 0.6. Suppose -133*m + 136*m - 25 = -q, 4*m - 8 = 5*q. What is the second smallest value in m, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 1940*k**3 + 0*k - 1939*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapphpypi. Give prob of picking 1 p and 1 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27194971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 15*w - 16*w. What is the remainder when 23 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 3*j**2 + 2*j - 1. Let g = 3 + 0. Calculate v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 167 + 73 = 0. Suppose -3*k - o*k = -108. Solve w + k*w + 35 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1641*o**2 + 6*o - 1170. Let z(i) = -1659*i**2 - 4*i + 1171. Let l(c) = -2*b(c) - 3*z(c). Differentiate l(q) with respect to q.\nAnswer: 3390*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*m + 67, -9 = -2*m + 1. Let g = u - -54. Calculate the smallest common multiple of g and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c\/(c\/(c*((c\/(c*c**(-2\/27)))\/c)\/c)*c)*c*c))\/(c**(-6\/11)\/c))**(35\/2) assuming c is positive.\nAnswer: c**(2450\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -778079, -778184, -778289, -778394, -778499?\nAnswer: -778604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1 - 4*v + 3 + v**2 + 0 - v. Let y be t(5). Suppose -y*o = 5*j - 67, -6*j + 14 = o - 2*j. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543057 to the power of 1\/2, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**2 + 29*q**2 - 102*q**2 + 34*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313322 - -121?\nAnswer: 320103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u = 32*u - 5*b + 169, 36*b = -34*b + 82*b - 420 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o**2 + 4*o**3 + 57*o**2 - 4 - 3*o**3 = 0 for o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 104?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45094029329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b07600 (base 12) to base 8.\nAnswer: 41213240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 11*d - 1215. Let h be (d\/(-6) + 2)*-4. Let w be 16\/(-88) - (-160)\/h. Is w at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/645, -0.0556, 1\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 243534553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3344 = 1774*q - 1950*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.1 - -58. What is the nearest to w in -0.5, 2, 2\/3, 12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 - -457.8\nAnswer: 312.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -63*m**2. Let l(v) be the second derivative of 17*v**4\/12 + 1110*v. Give f(l(n)).\nAnswer: -18207*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 12. Let m be s(-9). Suppose 2*b + 5*p - 37 = 0, 0 = -2*b - m*b + 5*p + 75. Let h = -9 + b. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*m + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -93, 10\/9, -13, 3, -0.07, 1\/7, 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11481066 and 1410.\nAnswer: 57405330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*h + 165, -4*h + 5*y = 3*y - 134. Let o(n) = -2*n**2 + 74*n - 70. Let b be o(h). Solve -2*w - 2*v = b, -2*w + 0*w + v + 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -307 in decreasing order.\nAnswer: 3, 2, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 11 - 13 - 2*m**3 - 3*m - 2*m**2. Give s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88 + 89)*-5*1. Put 3, c, -453, -4 in descending order.\nAnswer: 3, -4, c, -453","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14218 is divided by 1774?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15387.32 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 1\/24*h**4 + 13*h**2 + 0 + 0*h + h**3. Let o be p(0). Solve o = 2*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*y = -919*y - 5882 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38785)\/(-108598))\/(68\/(-56)*-1).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {z: 7, a: 1, p: 1, s: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*k + 23 - 23)*(-2*k - 3*k**2 + 2*k)*((k - 3*k + 0*k)*(-k + 0*k + 2*k) + 4 - 4 - 4*k**2).\nAnswer: 342*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:06 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-101)\/3*(-3)\/(-10) and (-14 - -15) + (-11)\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 26272 - 27 = 0. Calculate the highest common divisor of 476 and a.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = 2*k. Let c be k\/(-2)*(-8 - -6). Let p(l) = -l**3 - 11*l**2 - 5. Let t be p(-11). Sort c, -3, 2, t in descending order.\nAnswer: 2, c, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 32*u - 6792. Determine j(208).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2.2. Suppose -4*l - 16 = -2*p, -4*l - p - 7 = -l. Which is the closest to v? (a) l (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 9 = 25. Let x be (20\/(-40))\/(2\/(-6)*v). Put -2\/13, 0, x in descending order.\nAnswer: x, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 164286.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/((8\/(-20))\/(52\/20)). Suppose 39*k - 17*k + m = 0. Let l(t) = -3*t**2 + t + 1. Let r be l(-2). Is r not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2870247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -827900 rounded to the nearest 10000?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*f + 10, d - 20 = 4*f. Suppose y - o - 168 = 0, d*y - 2 - 665 = 5*o. What are the prime factors of y?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (1*sqrt(195))\/sqrt(5))\/sqrt(3) + (sqrt(26)\/sqrt(2) + -5 - sqrt(117)*2).\nAnswer: -5*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 124*k + 183. Let i be c(-6). Let q be 6\/20 - i\/330. Determine v, given that 0 + 3\/4*v**q + 3\/2*v - 3\/4*v**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53545807?\nAnswer: 7, 709, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-405)\/10)\/(-9) - 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**3 + 2*r**2 + 2205*r + 1. What is x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282454810.\nAnswer: 2, 5, 11, 83, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 950*l**3*n**5 + 2804*l**3*n - 5*l*n + 5*n**5 wrt n?\nAnswer: 19000*l**3*n**3 + 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-15))**(11\/7)\/(((((d\/((d\/(d\/d**5))\/d*d))\/d)\/d)\/(d*d\/(d*d**(-2\/7)\/d)*d))\/((d*(d**2\/d)\/d)\/(d\/d**(3\/8)))) assuming d is positive.\nAnswer: d**(541\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123356 + -1851502\/15. Let p = m + 2059\/30. Calculate the common denominator of 63\/2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9.6. Let v = 6.9 - 7. Put 0.6, l, v, 1 in increasing order.\nAnswer: v, l, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912811 is divided by 304195?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(3301*2)\/(-16 - -14). What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15614950.96 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -171410 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5807*s - 5249 = 64435 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374236323.\nAnswer: 3, 124745441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 832428906 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/774)\/((-9)\/54*40\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, -256, -1083, -2698, -5365?\nAnswer: -9348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 7. Calculate m(-14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 24. Let p(g) = 2 + j - 2*g + 3*g. List the prime factors of p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56492283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhqxfhquxxyq. Give prob of sequence fxhu.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, a: 2, i: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -43*l + 21*l + 23*l - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = 0. Suppose o = -s - 3*s. Suppose 0 = 3*v + 1 - 7. Solve s = 6*l - v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.03, -175986.99?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822446 to the power of 1\/2, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -430, -434?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17801 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, 2\/273, 6, 5?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14244460, -14244475, -14244508, -14244565, -14244652, -14244775, -14244940?\nAnswer: -14245153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + 0 + 126\/(-30)) - 2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -39. Let w = 1 + -7\/4. Let d be -2 - -1 - (-14)\/10. What is the nearest to a in d, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*u + 8, -5*u - 3 = 6*n - 10*n. Factor -10*f + 3*f**4 - 15*f**3 + 2 + 80*f**2 - 11*f + 4 - 17*f**2 - 36*f**n.\nAnswer: 3*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33\/7*b - 3\/7*b**2 + 78\/7 = 0. Calculate b.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 2*v + 16873. Let t(z) = 2*z**2. What is h(t(y))?\nAnswer: -8*y**4 + 4*y**2 + 16873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.3 - -9. Which is the closest to -0.2? (a) m (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - 11.5. Let w = -16.9 - i. What is w rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50699 and 1257?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*t + 3*r, -2*t - 2*r + 7*r = -26. Let a = t + -6. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.29 - 16.56. Round q to 1 dp.\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 2151*v**2 + 1146960*v + 10497600 = 0 for v.\nAnswer: -9, 1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**6\/6 - 4*q**3\/3 + 5. What is the third derivative of k(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -32 - 316\/(-12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1878984 divided by 12.\nAnswer: 156582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 12*k - 3*k**2 + 1\/30*k**6 + 0*k**3 + 0*k**4 + 0*k**5 + 0. Differentiate z(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i - 2*o - 32*o - 34 = 42*i, i + 3*i = -3*o - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 - -4.3. Let f = 2.81 + 0.19. What is the nearest to f in -3\/2, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5\/5 - 18*b**4\/5 - 24*b**3\/5 + 18*b**2\/5 + 21*b\/5 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684171\/95 less than 17728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let q be d(10). Let i = 10 - q. Let w be (6\/(-4))\/((-2)\/4). What is the greatest common factor of i and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 26. Let k = -5 + j. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 87. Let y = -15 + 19. Solve y = -t*z + z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83640 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/24 - s**3\/3 - s**2. Suppose -24 = -4*j - 12, -36 = -5*y - 2*j. Calculate k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/200*10 - (-6646)\/5.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 850*f + 2080*f + 781*f - 926*f in the form j*f + i and give j.\nAnswer: 2785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 11456?\nAnswer: 3436.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/210 - (-39)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32179 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149166135 and 9685?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {g: 2, c: 5, u: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 32*x + (0 + 0 + 6*x)*(-5 + 1 - 1) to p*x + z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 22350?\nAnswer: 22350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) 7 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -2 - 10\/(-4)*2. Suppose -t + 0*v + b*v + 457 = 0, 5*t - 2225 = 5*v. Round t to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10800951 * 1.\nAnswer: 10800951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 407.61 centuries?\nAnswer: 40.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 417148 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597887386 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1132*u**3 - 10*u**2 - 993*u + 10. Let c(h) = -2*h**2 - h + 2. Let b(k) = -5*c(k) + l(k). What is the second derivative of b(d) wrt d?\nAnswer: -6792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, -0.2, -0.17, -2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 19*q = -24*q - 6, -164 = -85*l - 3*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -4*w - 12*h + 9*h, 2*w = 5*h + 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 44.1, 0, -2\/5, 20, 2, -2 in increasing order.\nAnswer: -2, -2\/5, 0, 2, 20, 44.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*h**2 + h + 2\/3 = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:35 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 23*k**2 + k - 1. Determine z(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21298, 42641, 64028, 85459?\nAnswer: 106934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6590 = 13*c - 3*c. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 (base 11) in base 4?\nAnswer: -21310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y + 2*y)*(0*y + 0*y - y**2) + 4*y**3 + 0*y**3 - 3*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 4453.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 17*x + a + 30 = 41*x, 4*a + 180 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 2 + 2*w**2 + 4 - 5. Suppose -2*l - 1 = -3*v, -6*v + l = -v + 3. Calculate t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -21.97. Suppose 3*c - 12 = 0, -5*o + 10*o - 24 = -c. What is the closest to 1\/2 in u, -2, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:32 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35446281.0000019 - -35446284. Let w = 3 - z. What is w rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 6*p**2 - 6*p. Let j be 2\/(-5) - 54\/(-10). Let d be r(j). Let h be ((-5)\/2)\/d*18. Solve g + 6 = -4*i, -h - 3 = 4*i + 4*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 135. Let o(b) = -682*b - 1968. What is the remainder when o(-3) is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 552 - 543 - 545 + 1642. Suppose -4*x = 3*q - 2*x - 21, -2*q + x = -7. What is v(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(-42)\/(-12)*17\/(-357)*3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26622 divided by 783\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r + 3*r + r. Suppose 3*a = -2*k + 15, -5*k + 15 = 3*a - 7*k. Let o(t) = -7*t. Let f(v) = a*s(v) + 3*o(v). Let q(u) = -u. Determine f(q(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22615 + -22613.8499. What is f rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -254 + 330. Let g(c) = c + 8. Let k be g(-8). Suppose 4*y + 8 = k, n = 2*a - 5*y + 20. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - 0. Let w = g + 23. Solve 5*s - a = -12, s + w = -3*s + 2*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (345\/(-18))\/(-23)*9\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245 + 72. Let d = m - 224. Let i = d + -93.101. What is i rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/24*(-4)\/44*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) 0.1017 (c) 2\/7 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2165*v - 9782. What is c(-3)?\nAnswer: -3287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 65. Let h(n) = 22329 + n - 22329. Determine h(f(l)).\nAnswer: l**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*p**5 + p**4 + 70*p**2 - 21461*p - 3 wrt p?\nAnswer: 2520*p**3 + 12*p**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/13 - 2*411\/90?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 3074*k - 3071*k - 6, 6*c + 35 + 7 = -4*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 55*k - 55*k - 2*k**2. Let g(i) = -6*i**2. What is p(g(f))?\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + -49. Let c = -59 - z. Suppose 5*m = 61 + c. Calculate the remainder when 52 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35245365 - -1.12659?\nAnswer: -35245363.87341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 3011*n**4\/12 - 5881*n**3\/6 + 6168*n. Find the second derivative of t(y) wrt y.\nAnswer: 6022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21\/2 - -11. Which is the nearest to -0.1? (a) 1 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8244\/(-6870))\/((-1)\/(-30)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836 by -31148.\nAnswer: -209\/7787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -654 * -15.90704.\nAnswer: 10403.20416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + 2*p**2 - 3*p**2)*(39526356 - 39526356 + 11902*p**2) in the form h*p**2 + b*p**4 + x*p + c*p**3 + j and give b.\nAnswer: 11902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-2) + (26 - 21). What is the third derivative of -g*i**3 - 13*i**3 - 101*i**2 + 60*i**2 + 56*i**2 wrt i?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15335\/79146 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 7*h - 11. Let j be u(-4). Let a be (j + -2)*(-6 + (-2)\/(-1)). Is 17 a factor of (-2)\/a + 55\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/(-6) + 12189\/391?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7205 - -6?\nAnswer: -7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103.9655 and 0.07?\nAnswer: 7.277585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3\/2, -4\/7, -4, -5.723 in ascending order.\nAnswer: -17, -5.723, -4, -4\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 74 = 2*t, -t - 284*c + 51 = -282*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/5 + 58311*m\/5 - 5831 = 0. What is m?\nAnswer: 1\/2, 29155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 + 12*a - 7. Determine z(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -18*(-32972)\/18 + -23.\nAnswer: 3, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.6 + -8. Let i = u - -1. Let o be 44\/(-33)*3\/(-10). Sort o, i, -0.5.\nAnswer: -0.5, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2812.999201 + -2813. What is l rounded to 5 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - 2*k**3 - 2*k**3 - k**3 - k**2 + k**2 + (-3*k**3 - k**3 - 3*k**3)*(-16 + 7 + 19).\nAnswer: -79*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 12:32 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783101 is divided by 218.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -o - 86. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(-12))\/s)*(s*(((s**(-2\/11)\/s)\/s)\/s)\/s)\/s)**(-2\/31)\/(((s**(-1\/2)\/s)\/s)**(-2\/3))**(-6\/5) assuming s is positive.\nAnswer: s**(1016\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**5 - 2*l**4 - 992*l**2 - 17346*l - 1 wrt l?\nAnswer: 80*l**3 - 24*l**2 - 1984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 6*r - 8. Let m be l(8). Suppose 5*a = 0, -4*t - m*a - 2392 = -3*a. Does 26 divide 6\/(-27) - t\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 1, m: 1, q: 2, j: 1, h: 2}. What is prob of sequence hozq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 9*k = -2. What is the closest to 0.1 in 0.3, k, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.80815l to millilitres.\nAnswer: 15808.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) 117 (b) -5\/3 (c) -27 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 = 3*w, 0 = -6*y + 2*y - w - 19. Let d(u) = -3*u**3 - 5*u**2 + 4. Let s(j) = -3*j**3 - 4*j**2 + 3. Determine y*s(r) + 3*d(r).\nAnswer: 3*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/12)\/(6\/(-24)). Let f(i) be the first derivative of -1\/3*i**4 - 8\/3*i + 4\/3*i**2 + m - 2\/15*i**5 + 2\/3*i**3. Factor f(w).\nAnswer: -2*(w - 1)**2*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 8:32 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1269*o**2 - 1819775*o + 1819775*o.\nAnswer: 1269*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 - 19*n. Is p(10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from osjooss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -2*n + 155. Suppose -72 + n = -5*q. Suppose 0 = q*l - l - 480. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 4*h**2 + 6*h + 5. Let d be g(-5). Suppose 4*j - 5 = a - 28, j + 5 = d. Solve 4*o + 3 = -y, -a*y + 3 = 5*o - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 42, 19, -4, -21, -26?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + g**2 - 7*g**2 + 2*g - 4*g**2 - 2*g + (-2 - 1 + 1)*(-1 + g**2 + 1) as w + z*g**2 + o*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 93483252*t - 244. Let r be c(-3). What is r rounded to the nearest 1000000?\nAnswer: -280000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 19 = -15*s - 0*s, -5*s + 2*s - 3*j = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 615, 1302, 2245, 3444?\nAnswer: 4899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100171981, -200343962, -300515943?\n\"Answer: -100171981*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36093 - 92093. Round q to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 2 - 8 = 0. Suppose k = 3*y - 14, 4*y = d + 12. What is the lowest common multiple of 17 and d?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225113837*a**2 - 225113837*a**2 - 34*a**3 - 1.\nAnswer: -34*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-182) + 3 + 10455\/(-3808)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -25*l**2. Let k(z) = 11*z**2 - 22*z + 22. Let f(j) = -j**2 - 2*j + 2. Let x(t) = -11*f(t) + k(t). Give x(d(g)).\nAnswer: 13750*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = b + 48, -36*z + 5*b - 167 = -517 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d**2 - 91*d**2 - 10*d + 2*d**3 + 23*d**2 - 3*d**3.\nAnswer: -d**3 - 41*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -55*q**2 + 972*q - 20. What is u(17)?\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**6\/150 + 3*g**5\/10 + 13*g**4\/5 + 148*g**3\/15 + 96*g**2\/5 + 147*g. What is n in y(n) = 0?\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 + 11*y**2 + y - 345. Let c(h) = 3*h**3 - 6*h**2 + 172. Let x(r) = -5*c(r) - 2*w(r). Find the second derivative of x(a) wrt a.\nAnswer: -6*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76394685 divided by -5092979\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1253\/20 - 163\/4. Let b = o + -1221\/40. Let m = -10531\/6 + 1747. Find the common denominator of b and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 10052.11ug?\nAnswer: 0.00000001005211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.89900964 - -0.899. What is v rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5 + 9 - n + 2*n + 0*n. What is the remainder when 40 is divided by v(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5 - 17. Solve -i + c = -0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - (-18)\/5. Suppose 2*u - 29 = -n + 7*u, 0 = f*u + 20. Determine l, given that -7*l**3 - 20*l + 18*l**2 - l**4 + 10 + 2*l**n - 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10634 + -95698\/9. Solve -22\/9*i**2 - 2\/9*i**5 + 0 + 2*i**3 + t*i - 2\/9*i**4 = 0 for i.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1358006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3229 + -3212.776. Let b = -1646.076 - -1646. Let k = u - b. What is k rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) -3 (c) -158 (d) 1\/3 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*l + g - 48, 0 = -2*g + 6. Let v = 30 + -10. Let f = v - l. Solve b - f*b = 2*z + 30, 0 = -5*z - 2*b - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvxvvvxvvxxxxvvxxx.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*j + 4458 - 197 = 0, -4*c - 5*j = -17016. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 21*j - 84*j + 20*j + 23*j + 13*j - 93. What is the smallest common multiple of 116 and x(-15)?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54646*b - 37772 wrt b?\nAnswer: -54646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i + 207 - 253 + 3322 = -53*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, 5, -4, 1, -3 in increasing order.\nAnswer: -4, -3, 1, 5, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (168\/(-8))\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/(-8)*(-21 - 7). Suppose -a = 4*w - 5. What are the prime factors of (-5 + 1)*w\/4?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 96 = 2*b. What is the remainder when b is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1307)\/7842)\/((-2)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143420, 149517, 159674, 173885, 192144, 214445?\nAnswer: 240782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 + 3. Let m be (2\/12)\/((-7)\/14). Let w = -3\/46 + -65\/414. Sort w, m, j in increasing order.\nAnswer: m, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.33 - 99.330017816. Round p to seven decimal places.\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388054435 to the nearest integer?\nAnswer: 19699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -12. Let o = 18 + g. Round o to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 73. Let v = 40 - l. Sort 3, -0.3, v in descending order.\nAnswer: v, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1830244886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -48. Let a(c) = c**3 - 3*c**2 + 4*c + 1. Let o(x) = -x**2 + x + 1. Let q(z) = a(z) - 4*o(z). Determine q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 218*d - 2 + 26*d - 2 - 1. Is g(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-735)*1*14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 24833620?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 e when three letters picked without replacement from uezzzzeeiu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ocfccfffccf.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 13) + (3 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + k + 3*k - 203, 2*w = -2*k + 82. Solve 0 = -3*z - 10*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 7*f**6\/18 + f**3\/3 + 17*f**2\/2 - f + 5. Let m(k) be the second derivative of w(k). Let y(j) = 2*j**2. Determine m(y(r)).\nAnswer: 560*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -489\/1006292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136891 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 15) in base 11?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = 6*v + 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = -5*f - 2*b, 2*b - 2 = 4. Let y = -35 + f. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 517489, 517226, 516963, 516700?\n\"Answer: -263*d + 517752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 3, w: 4, k: 2, a: 1}. What is prob of picking 1 w, 1 k, and 1 a?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (sqrt(204)*1*1 + sqrt(204) - sqrt(204)))\/(4*sqrt(1200)).\nAnswer: sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*l + 17, 18 = 3*l + 6. Suppose -s = -u - 2, -2*n - 8 = -4*s. Let r = 5 + 0. Sort r, n, -5 in increasing order.\nAnswer: -5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 593317 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 17.8.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 157. Is r(9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62134 + 62134 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 55340?\nAnswer: 1494180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 869704*a*i**2*l**2 - 310*a*i + 22*i**2 + 1334*i*l**2 - 2*i*l - 80 wrt a.\nAnswer: 869704*i**2*l**2 - 310*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 90 - 1364 = -3*x, -4*x = 2*c - 1906. What is the highest common divisor of 220 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + (sqrt(121)*2*1)\/sqrt(11)))**2.\nAnswer: 200*sqrt(11) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5403602 (base 7) to base 10.\nAnswer: 656798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - 6*o**4 + o**4)*(-2*o + 0*o + 0*o + (-1 + 3 - 4)*(132 + 165*o - 132)).\nAnswer: 1992*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 8, 2*g - 11*w + 19*w + 73 = -3*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-9)\/(-124))*(22 - 31). Let s = r - -253. Let o = 593\/5 + s. Sort -3, 1\/7, o, 5.\nAnswer: -3, o, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 534056550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*c - 658, -4*u - 4*c = 301 - 1629. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29497*a**6*m - 14*a**2 - 887*m wrt a.\nAnswer: -3539640*a**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, q: 1}. What is prob of picking 3 a and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105488*a*h**2*z + a*h*z - a*z - 2*a + h**2*z - h*z + 971 wrt h?\nAnswer: 210976*a*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*s = -12, -3*l - 17*s = -19*s + 14 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 1. Let w(l) = 2*l**2 - l + 11. Calculate -m(k) - w(k).\nAnswer: -k**2 + k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122012022 - 10?\nAnswer: -122012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g = 39*g + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*r**3 - 2*r**2 - 18585*r + 35762073 wrt r.\nAnswer: -219*r**2 - 4*r - 18585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446138?\nAnswer: 2, 7, 11, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b*b\/(b*b**(2\/11))*b**(-6)\/(b*b**5))**(-2\/39) assuming b is positive.\nAnswer: b**(38\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 - 12*b**4 - 1372*b**3 + 28*b**2 + 4104*b + 2720 = 0.\nAnswer: -17, -1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*o = x - 26, -o + 23 = 4*x. Let b be 6\/x*(-2 - -4). Solve b*i = i - 2, 0 = 4*g + i + 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1\/8 (b) 4 (c) 3 (d) 1990 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -21. Suppose 0 = -2*x + 3*y + 20, 2*x - 2 = 4*y + 14. Are h and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Let k = 5 - z. Let a = 19 + k. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 12. Let r be h(-6). What is the derivative of 2 + 1 - 9*d**3 - 5 + r wrt d?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, 270, 678, 1088, 1500?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1126 + 0?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 341493*b**2\/2 + 116614737057*b\/4 + 233240402018.\nAnswer: (b - 341497)**2*(b + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2955623 to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 6*r**3 - 6 + 6 wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 70 - 70 + 4*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l. Let u(r) = 1808*r. Calculate u(v(h)).\nAnswer: 5424*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w + 160 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 9*t + 3. Let f be z(-9). Suppose -p - 2 = f. Suppose b - 6*b = -5. Sort p, b, -4 in decreasing order.\nAnswer: b, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12944 + -12942. Sort 11, -4, 0.12, s, -5.\nAnswer: -5, -4, 0.12, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/30 - p**2. Let h(q) = q + 8. Let a be h(5). Let m(r) = -r - a + 13. Give s(m(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 - 2*i**4 + i**3 - 2*i**2 + i**4 - i**4 - 2*i to l*i**4 + g*i**2 + a + s*i**3 + q*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -4*h + 63. What is the third biggest value in h, 0.2, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 11532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-6))\/(((-10)\/(-30))\/(2\/(-10)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0*q - q - 1)*(20 + 220*q + 59 - 219*q) to k + r*q**2 + z*q and give z.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 3. Suppose 3*c - 21 = 9. Let f = c - -12. Calculate the smallest common multiple of g and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718951*h**2 + h**3 + 718951*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3021 + -221?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 8*y - 15. Let s be m(-10). Let d be -2 + 24591\/15 + (-2)\/s. Suppose 24*g + d = 25*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + 2 + -5 - ((sqrt(88)\/sqrt(8))**2 + -3)*-4.\nAnswer: sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 1. Let u(t) = -t**2 - 2*t + 15. Let o be u(-5). Suppose o = -39*g + 38*g - 3. Let b be (-4)\/18 - 10\/135*g. What is c(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + k**2. Let b be w(1). Suppose 0 = m - 3 - 0. Let s be (-21)\/(-3) - (m - 1). Solve b*v - s = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/56)\/((-8)\/(-28))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*p - 68*p + 29*p + 5*p - 7*p - 3.\nAnswer: -95*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - q - 1. Let l be -8*(-2)\/8*2. Let t(p) = 5*p**2 - 4*p - 1. Let v(i) = -i - 1. Let k(h) = t(h) - 6*v(h). Calculate l*w(b) + k(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -409, -832, -1401?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqskvvksrqvxv. What is prob of sequence ss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 21*t**2 - 22*t + 26. Let k = 43 - 21. Let u be v(k). What is the highest common factor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r - 15. Suppose 3*z = -r*z. Let z - k**4 + 0*k - 1\/3*k**5 - 1\/3*k**2 - k**3 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.02832 (b) -1 (c) -0.4 (d) -8\/17 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b + 26*b + 3*b**2 + b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*z - 219 - 5. Let m(n) = 5*n**2 - 7*n + 2. Let t(g) = 14*g**2 - 21*g + 7. Let i(v) = -8*m(v) + 3*t(v). Determine i(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 78 = 3*z - z, 4*z = 4*f - 196. Suppose 5*l - 20 = -p + 3, -2*p - 2*l + 62 = 0. What is the greatest common divisor of p and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 1\/20*s**5 + 1\/6*s**4 - 8*s - s**2 + 0 - 1\/6*s**3. Determine c so that m(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (108\/(-14 - -23) + -25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3888 = -1227*l + 1235*l. What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 68 = -5*b - 13, -2*b + 2 = 3*y. Factor 3*o + 6*o - o - b*o + 2*o**4 - o**5 - 2*o**2.\nAnswer: -o*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 656*d**4 + 11*d**3 + 11*d + 158694?\nAnswer: 2624*d**3 + 33*d**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - h + (1 + 1 - 1)*(-h + 0*h + 0*h) - 14*h - 33*h + 34*h)*(4 - 1 - 2) in the form v*h + c and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38048 (base 10) in base 11?\nAnswer: 2664a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1867 divide 159441800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -724 and 17.\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10858028, -10858029, -10858030, -10858031, -10858032?\nAnswer: -10858033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -4*z + 38. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 2:22 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**6\/180 - 3*l**5\/10 - 181*l**3\/6 - 2*l**2 + l. Let q(b) be the first derivative of n(b). Determine k so that q(k) = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1383 + 5132. Suppose -2*p + 3132 = -4*x, 2*p + 5*x + 617 = n. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z. Let i(a) = -16*a. Let p(r) = 11*c(r) - 2*i(r). Let w(l) = -2*l**2. Give w(p(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 - -227. Let y be (3\/(-6))\/(1\/(-1)). Which is the third smallest value? (a) -2\/9 (b) j (c) y (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Suppose -2*o - 3*o + 389 = 3*b, -t*o + 532 = 4*b. Suppose v - b = -v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-186))\/(-4*(-4)\/(-12)). Let u be ((-79)\/155)\/(72\/(-20)). Let v = j - u. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 + 3 = 0. Let p be (n\/(-12))\/((-2)\/8). Let o(j) = j - 5. Let m be o(5). Which is bigger: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h**2 + 53 - 12*h**2 - 11*h**2 + 2*h to the form b + q*h**2 + y*h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12425 + -2?\nAnswer: -12427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*j - 74*j + 3 = 0. Suppose -g + 4*c - 1 = j*c, -45 = -5*g - 5*c. Sort g, 1, -3, 0 in increasing order.\nAnswer: -3, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12681 - 5966. 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 the next term in -12952, -25906, -38860, -51814?\nAnswer: -64768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 - -144. Let x be d\/((-24)\/78) - 5. Solve -1 = -4*l + 5*f + x, 0 = -4*l - 4*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5264769?\nAnswer: -5\/5264769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*((-3 + sqrt(11))*-1 + -1))**2.\nAnswer: -135 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7985.\nAnswer: 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128898.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106182 and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 26. Calculate b(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -885 - 417?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 11, -2, 2 in decreasing order.\nAnswer: 11, 2, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10220 (base 5) to base 2\nAnswer: -1010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/79938 and 115\/2877768.\nAnswer: 2877768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 30, 74, 156, 288, 482, 750?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 - 2*j + 3. Determine i(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-3)\/(-4)*1\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -20, 0*y = 2*g - 2*y - 16. Let w = -39 - -143. What is the highest common divisor of g and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -12. What are the prime factors of ((-1464)\/32)\/(k\/8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-15)\/(-50)) - 0. Suppose -8*d - 30 = -z*d. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2. Let n(o) = 45*o**2 + 60. Suppose 75*r + 1590 = 22*r. Let j(i) = 2*i**2 + 2. Let p(b) = r*j(b) + n(b). What is y(p(k))?\nAnswer: -225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**3 + z**2 + (1 - 1 - 2*z)*(1 + 2*z**2 - 1))*(-2*z + 3*z - 2*z).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(216)*-1 - sqrt(216))\/sqrt(12))\/((sqrt(6) - (sqrt(6) + -1*sqrt(6)))*1*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618331 is divided by 38645.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = 89*v - 106*v. Solve 2*a = 4*t - 22, -t = -a - 5*t + v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l**2 - 3*l**2 + 2*l**2)*(l - l + 2*l) - 34*l**3 - 81*l**3 + 33*l**3 as g + u*l**3 + a*l**2 + t*l and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/((u*u**(5\/11))\/u))\/u)\/(u*u**(2\/63)*u) assuming u is positive.\nAnswer: u**(-337\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*a**4*d**2 - a*d**2 - 4*a*d wrt a.\nAnswer: 1464*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {g: 2, c: 3, k: 1, m: 6, d: 2, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10037\/9 - -1113. Let j = -358 - -1429\/4. Find the common denominator of j and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2233 + 231240?\nAnswer: 233503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9083*f**4 - f**3 + 12*f**2 - 2467848*f.\nAnswer: -108996*f**2 - 6*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 5*s**2 + 10*s**2)*(-5*s + 2 - 2)*(-1 + 1 + 1).\nAnswer: -35*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -198*y**3 - 10*y**2 - 73*y + 4. Is w(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 25\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 0.4, -144\/349, -4\/5?\nAnswer: -144\/349","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 45*o**2 + 17*o + 17. Let s(z) = 2*z**3 - 40*z**2 - 15*z - 15. Calculate -6*j(b) - 7*s(b).\nAnswer: -2*b**3 + 10*b**2 + 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-124)\/6 + 2\/(-6). Let x be (-2)\/7 - 69\/a. Let l(y) = -2*y**2 + y + 14. Let g(f) = -4*f**2 + f + 33. Let o(s) = 2*g(s) - 5*l(s). Give o(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*o + 1102, 54*s + 736 = 2*o + 58*s. What is the highest common factor of o and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r = 8274 - 8750 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 - a - 1. Let k be m(-5). Suppose d = -s + 46, -4*d + k = -d - 5*s. Calculate the highest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -9 + 33. Let m be (-2 - -1)\/(2\/34). Let q = 67\/4 + m. What is the closest to q in -0.5, 1\/3, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -573*i**6\/10 + 1829*i**2\/2 + 5880*i. What is the derivative of c(s) wrt s?\nAnswer: -6876*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 2*a, 3*p + 2*p = -a + 20. Suppose -10*z + 6*z + 128 = a. Is 4*-1 + 1 + -8 + z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) -2.1 (d) 1\/7 (e) -2\/3 (f) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5082*a**3 - 1728*a**3 - 1662*a**3 - 1662*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4520111875 to the nearest integer?\nAnswer: 67232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 56. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 13110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -1. Let w be 12*((-2)\/(-18))\/(3\/s). Let i be w\/(-26) + 264\/26. Solve 6*h + i = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m - 15. Let n(z) = z**2 - 4. Let y be n(m). What are the prime factors of (-1)\/(-3) + 224\/y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (14 + -7 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(-3*2\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 3*s**4 - 3*s**4 + (2 + 2*s**5 - 2)*(-2 + 1 - 1) + (4 - 4 - 8*s)*((-2 - 1 + 0)*(s + s + 0*s) - 5 + 5 + s)*(s - 2*s**3 - s) - s**5 + 0*s**5 - s**5.\nAnswer: -87*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9 + 1 - 1 + h + 2*h. List the prime factors of i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x**2 - 1. Let p(r) = 15*r**2 + 1. Let f = -142 - -137. What is f*p(d) - 6*z(d)?\nAnswer: 21*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3418722285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auuuaaaa. What is prob of picking 1 a and 1 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179 + 300. Let c = 120.99951 - i. What is c rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i, 2*k - 4 = k - i. Let l be -3*(k - (-268)\/(-12)). Suppose -j + 118 = 5*q, -j + 4*q + l = -21. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111\/2 + 15427\/278. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 4}. What is prob of picking 2 q and 1 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x + 88 = -68 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s - 7. Let u be 12\/2 - (-3 + 3). Calculate the remainder when 48 is divided by r(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = -23*p + 230. Is p\/(-2)*24\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 56. Solve z + 3*u - 13 = w, 0 = 3*z + 5*u - 0*u - 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 3. Calculate the remainder when 27 is divided by c(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r - 21*r - 5276 - 5137 = -63*r for r.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**3 - 923*m**2 - 5*m - 10. Let t(q) = 4*q**3 - 461*q**2 - 3*q - 6. Give 3*h(u) - 5*t(u).\nAnswer: u**3 - 464*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (248 - -4)*(-30)\/(-24). Let d be ((-12)\/(-42))\/(30\/a). Solve -3*b + 5*w - 6 = -2*b, b + d*w - 10 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -170, -682, -1536, -2732, -4270?\n\"Answer: -171*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35545158 is divided by 66940.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 74347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 15, -a + o + 17 = -3*o. Is a at most 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*w - 65, 70 = 5*w + 84*z - 81*z. Let m be (-1)\/(-5) - (-254)\/5. Suppose -k + 34 = -m. Calculate the highest common factor of w and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 20*o + 6*o - 52*o as j + m*o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in 0.005, -0.2, 1040?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 937696\nAnswer: 5\/937696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from vkvkvsfvvkvvvvkkvsv.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*d - 1025 = 0, 3*d - 363 - 457 = -4*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -350*o**2 + 44744 + 437*o**2 - 44749 - 1335*o**2 to the form y*o**2 + t + l*o and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 4. Let g = t + -15. Sort 2, 1, g in increasing order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 < 222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 1. Let a(q) = 5*q**2 + 5*q + 1. Calculate -a(v) - 3*l(v).\nAnswer: -2*v**2 - 5*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 2173 + 2143 = -4*f, -m - 1 = 4*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1364 - -1363.93. Which is the closest to 1\/4? (a) -4 (b) v (c) -14 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8014, -31956, -71858, -127720, -199542?\n\"Answer: -7980*s**2 - 2*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-10))\/(4\/50). Let s = -78.7 - -79. What is the nearest to s in 0.2, 5, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*x - 869*x - 3376 = -1583*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**2 + 116*u + 760 = 0.\nAnswer: -19, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -89, -0.2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 22 + -8)\/((-2)\/5). Which is smaller: -239\/8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**6 + 239*l**3 - 14239*l**2 wrt l.\nAnswer: -480*l**3 + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 take away -0.1?\nAnswer: 426.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*b + 27 = 35, 0 = -2*x - 2*b - 10. Let i(l) = 3*l - 3*l + l + 7. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -27*o**3 - 5*o**2 + o + 5. Is y(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7994, 15980, 23966, 31952, 39938?\nAnswer: 47924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138898242 equal to 138898238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -43*u**2 - u - 4. Let z(q) = 44*q**2 + q + 5. Give -6*l(y) - 5*z(y).\nAnswer: 38*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -2)*(-4)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + sqrt(684) + 1)**2 + 2.\nAnswer: -36*sqrt(19) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/46 and -17692 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 10*h**4 + h**3 - 9*h**4 - 5*h + 2*h - 2*h**2 in the form c*h**3 + f*h + k*h**2 + t*h**4 + p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -1815 + 627. Let y be 0 - (-4)\/10 - t\/5. Suppose -4*v + 48 = -y. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 1887*g**2 + 817404*g - 10305152.\nAnswer: -(g - 352)*(g - 13)*(g + 2252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -465 - -468. Solve 16 - 13 = -m*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24067 and 5617?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -15*p + 19*p. Suppose 20 = -4*g, -p*f = -f - g - 13. Suppose 41 = 3*z - f*w, -2*z - 2*w - 17 = -3*z. Solve 3*k = z*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*f - 16*f + 59904 = 0. Solve 35*c + c = f for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p - 1\/4*p**4 + 0*p**3 + 1 + 3\/2*p**2. Determine b, given that a(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 29*b + 11. Let i(y) = 5*y + 2. Calculate 34*i(a) - 6*u(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/8 + 3*v**3\/8 - 3*v**2\/4 - 51*v + 70. Let o(x) be the first derivative of i(x). Factor o(h).\nAnswer: 3*(h + 2)*(2*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.228 - -0.072. Let i = 0.2 + -0.3. Sort i, 4, n in descending order.\nAnswer: 4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -0.1, -4\/3, -1, 922?\nAnswer: 922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 24*l = -164. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263a (base 11) in base 8?\nAnswer: -6547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48628 (base 12) in base 8?\nAnswer: 276600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84)*2 + sqrt(84) - sqrt(84)) - (sqrt(84) - 4*(-1*sqrt(84) - sqrt(84))))\/((sqrt(60) - 5*sqrt(240))\/sqrt(5)).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157696 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9764*w + 7 - 5 - 9 + 330*w + 9.\nAnswer: 10094*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 14 + 1, v = -5*m + 20. Suppose -m*y + 10 = 2*y. Find the third derivative of 0*t**y - 3*t**2 + 5*t**5 - t**5 - t**2 wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 9*l**2 - 9*l + 21. Let r be x(-7). Let p be (-2)\/r - (-576)\/(-112). Put p, 2, 45 in decreasing order.\nAnswer: 45, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*d - 36. Let a(s) be the first derivative of -s**2\/2 + 7*s - 1174. What is a(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**3\/6 + 11*p**2\/2 + 2*p. Suppose 4*f = -7 - 5, 0 = o + 5*f + 24. Calculate the remainder when 5 is divided by z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 1. Let t be (4\/3)\/(v\/(-5430)). Round t to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*k - 492*k - 45 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + (-5 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*o - 25*o - 5*b - 132, -15*o + 5*b + 134 = -18*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21886\/171 + 128. Let c = 151\/1710 + o. Let u(y) = y**2 - 6*y + 2. Let n be u(6). What is the nearest to n in -3\/4, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 9. Let b = r + 6. Let a = b + 41. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + -2 + -7 + 4 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 586 + -593. Is (-31335*v\/84)\/(3\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306955206?\nAnswer: 2, 3, 17053067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**3 - 65*f**2 - 10*f - 31. Calculate v(-4).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, z: 2, g: 1}. Give prob of sequence qz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 + (10\/3 - 1). Solve c = f + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y + 8*y - 264. Let u be ((-12)\/10)\/(y\/1410*-1). Calculate the greatest common factor of u and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. What is the units digit of k\/8 + (-33)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 - 2 - 2 + 2 + (3 + 0 + 0)*(2 + 2 - 2))*(-212 + v - 132 + 40).\nAnswer: 2*v - 608","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:48 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -141745 (base 8) in base 12?\nAnswer: -25031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 1:05 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1\/8*4). Suppose -2*f + n*l = -200, 2*l = -3*f + f + 184. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 224557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.97 + 0.03. Let j = -2 - -8. Let g = x - j. Which is the second biggest value? (a) g (b) -4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -93*(38\/(-6) - -3). Suppose 5*b - 1770 = -i. Suppose -3*g + b = v, -1 = 2*g - 3. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*a - 5*y = -10, -3*a = -3*y + 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/877 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6212*i + 4073 wrt i?\nAnswer: -6212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-84)*-130*-30. Calculate the highest common divisor of y and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(260)*-3 + sqrt(260)))\/(sqrt(10)\/(sqrt(2) - ((sqrt(2) - -2*sqrt(2)*1) + sqrt(2)))))**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -9*d + 111. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -820573 and -7.2.\nAnswer: 5908125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -1.2. Which is the third smallest value? (a) -1 (b) f (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.422 + -0.71. What is y rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 7*s**5 - 1825*s**4 + 135530*s**3 - 2820740*s**2 - 10670232*s - 2815200 = 0.\nAnswer: -3, -2\/7, 46, 68, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9378?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*f - 10817 - 4760, 3*l = 12. What is the hundreds digit of 1 + 1 + (-8)\/((-56)\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497634 is divided by 566.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z**3 - 15*z**2 - 11*z - 13. Let g(o) = 5*o**3 - 7*o**2 - 5*o - 6. Suppose -130*v = -123*v + 42. Determine v*t(k) + 13*g(k).\nAnswer: -k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13663985 + 565.\nAnswer: -13663420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5091956 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5870 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.6 - -34.61. Put -1, 2.4, g, -1\/4 in decreasing order.\nAnswer: 2.4, g, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 23*b - 292. Calculate the remainder when b is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 564535 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -379\/7. Let o = 398\/5 + -79. Let r = 0.3303 - 0.3303. Sort -1\/6, o, r, x.\nAnswer: -1\/6, x, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**(-4\/3)\/((k\/(k\/((k\/k**(-8))\/k)))\/((k\/((k*k*k\/(k\/k**11)*k)\/k))\/k)) assuming k is positive.\nAnswer: k**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57649993*f**2 - 7374385*f?\nAnswer: -115299986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.439934647 + -0.43991. What is x rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 - 6*n)*(14*n**3 - 8*n**3 + 15*n**3).\nAnswer: -126*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 317821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185, 415, 645?\n\"Answer: 230*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -416 + 1008*q**3 - 6072 - 28652*q - 7400*q**2 - 6*q**5 - 16956 + 2*q**5 + 32*q**4 + 3164 = 0.\nAnswer: -15, -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127540981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpncn. Give prob of sequence cn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*z - 14, 7*y - 9*y - 3*z = 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-13) + (-3384)\/(-9165). Factor -d*a**3 + 1\/5*a**4 + 0 + 3\/5*a**2 - 1\/5*a.\nAnswer: a*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3169 - -3095.04. Let n = g + 74. Let m = 4.96 + n. Put -6, 0.4, m in ascending order.\nAnswer: -6, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55380110*s**3 + 3133330*s - 6 wrt s.\nAnswer: 332280660*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7 - -8 - 6 - 20) + -8.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-48)\/20)*1706\/4. Let f = o + -171. Which is greater: f or -12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (12\/(-3) - -48) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1733*f**3 - 15*f + 3*f**4 - 2*f**2 + 3*f**4 + 1 + 1741*f**3 to k*f**2 + b*f + r*f**3 + z + p*f**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 s, and 1 k when three letters picked without replacement from {j: 3, s: 2, m: 4, k: 1, t: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 412, 397, 366, 313, 232?\n\"Answer: -o**3 - 2*o**2 - 2*o + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 6 - (-4 - -10). Let l = h - -1. Let q(r) = -29*r**3 - 2*r**2 - r + 1. Calculate the remainder when q(l) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 322932?\nAnswer: 322927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-12 + (10 - 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 274*x**3 - 4*x**2 - 5*x + 10. Let q be o(1). Let s be 442\/8 + 1\/(-4). What is the highest common divisor of s and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 126667 and 1.092?\nAnswer: 138320.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-22)*o**25)**(2\/71))**(7\/12))**18 assuming o is positive.\nAnswer: o**(63\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.78 minus -16211537656?\nAnswer: 16211537986.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m + 15. Let x be s(-8). Let q = 28 + x. Solve -3*c + 3 = -q*a, -3*a + 5*c - 2 = c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8615855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 133212313331?\nAnswer: -133212313332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - y + 19 = 0, h - 2*y + 5 = 39. Suppose v + 4*w = 3*v - 4, 5*v + 4*w = h. Is (-7112)\/(-32) - (-3)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(11\/3)\/s)\/(s\/(s*s**(-25)*s)))\/(s**(2\/13)*s\/s**(-9)) assuming s is positive.\nAnswer: s**(-1228\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*p + 67, s - 47 = -0*p - 3*p. Let n be (-4)\/p - 1\/(-4). Suppose n*f + 5 = f. Sort f, -3, 1.\nAnswer: -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 25600277.\nAnswer: -4\/25600277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 61 (b) 3 (c) 1 (d) -15623\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**2 - 16 + 16.\nAnswer: 43*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 4 (c) -26682885\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l - 31 - 47, -3*d - 3*l = -15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1938 and -2.805672?\nAnswer: 2.999472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and (3\/(-140))\/(630\/(-49)*1).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*n = 23, -9*y + 6*y = -5*n + 19. Let p(g) be the second derivative of 0 - 5*g + 1\/4*g**4 + g**3 - 9\/2*g**y. Factor p(f).\nAnswer: 3*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*7\/(-14))\/(-6)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 6) in base 7?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66326062 - 4.\nAnswer: -66326066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 312052.8 millilitres in litres?\nAnswer: 312.0528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*x + 2*x + j, -4*x - 2 = j. Suppose 13*q - 9*q - 180 = x. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*c + 71. Is (-3)\/c + (-2670)\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**2 + 2*v**2 + (v + 0 + 0)*(0 - v + 0) - 5*v**2 + 0*v**2 + 3*v**2 + (15*v - 8*v - 11*v)*(2 + 3 - 12)*(-10*v - 4 + 4).\nAnswer: -281*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 - 3*o + 7. Let a be x(-5). Let w = a - -6. Let y be (1\/2 - w)*-2. Let g(q) = -q**2 + 6*q + 4. Determine g(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a464 (base 11) to base 4.\nAnswer: 32012323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*v + 7 = 0, -6028*b = -6025*b + 4*v + 11 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*h - 2*h = -2448, 988 = 2*c - 3*h. Suppose -c = -9*s - 20. Let u = s - 47. Solve m - 5*j + 19 = -j, -u*m + 2*j = 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 81. What are the prime factors of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:37 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**3 - 2*h**2 + 2*h - 1. Suppose 5*t + 113 = 148. What is the smallest common multiple of s(1) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24401910 and 20280.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*((1222\/(-52))\/(-47))\/(2\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-60)*(-5)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -0.4, -7.9, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585623.\nAnswer: 3, 13, 109, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 62, -2, 1\/5, 178\/9, -1?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 1:40 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10458*x + 10013*x - 21847*x + (4 - 4 + x)*(-2 + 0 + 4) + (1 - 2 - 4)*(5*x - 3*x + 0*x).\nAnswer: -1384*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 20\/18)*240\/(-8920). Let y = q - 3319\/8697. Is 0 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16703*l - 66 + 3*l**3 - 16921*l + 65 + l**2 in the form a*l**3 + u + o*l + j*l**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24156504, 24156500, 24156494, 24156486, 24156476, 24156464?\n\"Answer: -o**2 - o + 24156506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -12\/659, 2, -3 in ascending order.\nAnswer: -3, -12\/659, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, 3, -5 in decreasing order.\nAnswer: 3, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47563*m = 47578*m - 135 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -25\/4*n**5 + 40\/3*n**3 - 10*n**2 - 5*n + 0 - 25\/12*n**4. Factor w(o).\nAnswer: -5*(o + 1)*(5*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.2 (c) -5\/4 (d) 2 (e) -1345\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 2*q + 3*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*h - 235744 = 0, 24*t = 19*t + 4*h + 294716. Round t to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 2 + (sqrt(13) - sqrt(39)\/sqrt(3)))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 113 - 321 = 0. What is the greatest common divisor of h and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2779*a**2*t**2 + 1242*a**2*t + 6616*t**4 - 145*t wrt t?\nAnswer: -5558*a**2 + 79392*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-7))\/(18\/(-8)*(-7052)\/(-74046))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8788189?\nAnswer: 29, 67, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 75 + (-2 - -1) + -7 - (-9 + 3).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -162?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16863883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.518934 months to centuries.\nAnswer: 0.010432445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -75. Calculate the greatest common factor of 400 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 225.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {x: 1, i: 1, q: 1, m: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/720 + v**4\/3 + 35*v**2. Let y(m) be the second derivative of p(m). Calculate y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 9*w**2 + 12*w - 1. Let a(z) = z**2 - z + 1. Suppose k + 5*u = 4*u - 9, 0 = -k + 2*u. Let b(v) = k*a(v) - x(v). Give b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/6 - l**3\/6 - l**2 - 7*l. Does 20 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 336, -1, -0.2, 0.3 in ascending order.\nAnswer: -1, -0.2, 0.3, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -16 (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.58 - -0.91. Let d = 14303 + -14303.67188. Let w = m - d. What is w rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40, -29, -4, 41, 112?\n\"Answer: f**3 + f**2 + f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, -11, -1372 in ascending order.\nAnswer: -1372, -20, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1140, -2287, -3438, -4593, -5752, -6915, -8082?\n\"Answer: -2*u**2 - 1141*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10908*z**2 + 3*z + 6. Let s(b) = 7*b**2 + b + 2. Determine -r(f) + 3*s(f).\nAnswer: 10929*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose 0 = -3*s - 3*w - 3, -2*w - 11 = -3*s + o*w. Let b = -84.61 + 85.11. What is the nearest to s in b, -4, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2. Let a(n) be the first derivative of n**3 - 27. What is s(a(y))?\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3715342912?\nAnswer: 2, 409, 141937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(17) + 3 + sqrt(17) + sqrt(17) + (sqrt(17)*2*-1)**2 + sqrt(1377) + 0.\nAnswer: 12*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 45 = 5*t, 0 = 54*t - 57*t + 8*o - 27 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79.001111 + -79. Round z to 5 dps.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 422370 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3526 divided by 6\nAnswer: 1763\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 - (2 - 5). Suppose 0*u = a + 5*u - 30, -i*u = -20. Suppose 5*k + 2*g + 3*g = 25, a = 2*k + 4*g. Which is greater: -2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78588.4 rounded to the nearest 1000?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 3*q**6\/25 + 6*q**5\/25 - q**4\/15 - 4*q**3\/15 + q**2\/5 - 3*q + 5. Solve m(u) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -763 + 763 - 43*y**3.\nAnswer: -43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**3 - 292*m**2 - 2*m + 247. Calculate u(73).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c533 (base 16) to base 13.\nAnswer: -19c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(4\/24)\/1. Let d = -258 - -2063\/8. What is the nearest to 1\/3 in d, -2\/9, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -72. Suppose 17 = -m*i + 66. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -561 or -374?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*w - 36 = 0, -108*f - 5*w + 100 = -105*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -20. Suppose 6 = v + l. Find the second derivative of -i**2 - i - 8*i**v + 9*i**2 - 4*i**4 wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 28 = 4*m. Let q(i) = -10*i**3 + 6*i**2 + i + 2. Is q(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/90)\/((-2108)\/57970).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4583571784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33294 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 5 (c) -0.3 (d) 1 (e) -16.1 (f) 3 (g) -11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/18 and -77\/19830.\nAnswer: 59490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 - 3*m - 4. Let u be k(-7). What is the second derivative of -8*v**2 - 2*v + u*v**2 - 5*v wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 + 6*z + 5. What is p(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(63) + sqrt(63) + (sqrt(756)*3)\/sqrt(12) - sqrt(1008)*-4)\/((sqrt(225) - (sqrt(225) - (sqrt(225) - (sqrt(225) + sqrt(225)*-1))*5))*-2).\nAnswer: -21*sqrt(7)\/50 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.2. Let k = 0.07 - -0.23. Let q = z - k. What is the second smallest value in 0, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 199775 + 5?\nAnswer: 19977a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ummu when four letters picked without replacement from {m: 6, u: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*d = 35, -25*d = -3*z - 23*d + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-35) + (-1066)\/(-140) and 53\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/42350 and 53\/1452.\nAnswer: 254100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*i + 146*i = 5720. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184.0021 - 0.0021. What is the nearest to y in -0.5, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106965670 and 3297?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 141*g + 43*g - 18 + 12.\nAnswer: -98*g - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 4. What is the hundreds digit of ((-76)\/(-2))\/(g\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111 - 122120?\nAnswer: -212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-242*u - 88*u - 195*u)*(2 - 7 + 0) in the form h*u + p and give h.\nAnswer: 2625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25071312 and 123504.\nAnswer: 25071312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64, -144, -234, -340, -468?\n\"Answer: -v**3 + v**2 - 76*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (-3*sqrt(325) + -5 - sqrt(325) - sqrt(325)) + -2)**2.\nAnswer: 300*sqrt(13) + 8161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(((-27795)\/204)\/(-109)).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1256 + 31611?\nAnswer: 33200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -79. What is the lowest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -449, -448, -447, -446, -445?\n\"Answer: d - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 106853*j + 854888. Give x(-8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -236, -245, -258, -275, -296, -321?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 239086 and 292491019.\nAnswer: 292730105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309 - 244. Calculate the greatest common divisor of 299 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 391584.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:30 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 118381 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 7*q**2 + 7*q + 6. Let r be p(-6). Sort -1\/5, r, 4 in decreasing order.\nAnswer: 4, r, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 3*p + 2. Suppose -11*g - 15 = -14*g. What is y(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787930.8 years in millennia?\nAnswer: 787.9308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107 - 813 = -24*r. Calculate the highest common factor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 6*b)*(6 - 3 + 48384*b - 49142*b)*(2 + 0 + 2*b - 1).\nAnswer: -1516*b**3 - 752*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 334 = -304 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 12. Let x be g(5). Suppose x*w - 4*r + 90 = 468, 3 = -r. What are the prime factors of w?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-5))\/(141\/235))\/((-16)\/3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 14 = -3*z, 0 = z - 0*w + 2*w - 5. Suppose 2*s - 16 = -3*g, 3*g + z*s - 19 = 4*s. Calculate the lowest common multiple of g and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*-34*(5 - 1\/2). Let v = y - 453. Let t(s) = -s**3 + 6*s**2 - 4. Give t(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -99. Let l = -45.0085 + j. What is l rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k + 8335 = 8783 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6993*w - 118827. Calculate c(-17).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.4809416 + -12.73095. Let k = 0.75 - n. Round k to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58931130 + -0.01?\nAnswer: 58931129.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 514 - 626?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**19)**(-3\/4) assuming o is positive.\nAnswer: o**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:58 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 16. Let l(s) = -23*s**2 + 24*s**2 + 0*s**2. Determine o(l(t)).\nAnswer: t**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59669, 91604, 123539, 155474, 187409?\n\"Answer: 31935*d + 27734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9701 - 9701.8461. What is b rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -21*a**5 + 11*a**4 - 11*a**2 - 17*a. Let z(t) = t**5 - t**4 + t**2 + t. Let s(v) = -2*l(v) - 22*z(v). Find the second derivative of s(x) wrt x.\nAnswer: 400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235 or -140979\/598?\nAnswer: -140979\/598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u - 28. Let g be d(-8). Solve 5 = g*t + 2*y - 1, -2*t - 3*y + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + 34. Is (-1 - -4) + p\/1 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/35052 and 83\/7130.\nAnswer: 5433060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16368602 to the power of 1\/2, to the nearest integer?\nAnswer: 4046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6 - 10 - 5*a**2 + 11*a**2. Suppose -2*k + 3*i = -7, 3*i - 4*i - 13 = 2*k. Let j(m) = -3 + 2 - 4*m**2 + 5*m**2. Determine k*j(d) + h(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from jgfbwwtg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910276?\nAnswer: 2, 61, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 3. Let h(x) = -3*x - 15 - 4 + 2 + t. What are the prime factors of h(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 19 = 211. Let k be ((-16)\/l)\/(2\/6). Let a(y) = 3*y - 2. Give a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 694, 1198, 1702, 2206, 2710, 3214?\n\"Answer: 504*z + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 632 + 38. Suppose 5*o + u = -230. Let q be (-2184)\/o - (-2 - (-32)\/15). What is the highest common factor of 96 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -13*p**5 + 7*p**3\/3 - 664*p**2 - 1962. Find the second derivative of j(v) wrt v.\nAnswer: -780*v**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*b - 48, 5*j - 4*j - 15 = -2*b. Suppose b = -2*o - 1. Let l(p) = -2 + 5 + p + 7. Calculate l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.32 - 0.82. Sort -3, -16, -2\/7, k in descending order.\nAnswer: -2\/7, k, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13178944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:45 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 371029 (b) 7\/5 (c) 3\/4 (d) 4 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 22*n**2 + 17*n - 18. Determine w(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/1312 - -87979\/19680. Calculate the common denominator of g and -23\/11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*j - 3 + j)*(-1 + 14 - 6)*(321*j**2 + 362*j**2 + 364*j**2) to the form o*j**2 + a*j**3 + w + m*j and give o.\nAnswer: 7329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 4*a + s, a + 2195*s - 2190*s = 2 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -490.2 - -490.1914. Round q to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 10*h**2 - 12*h**5 + 8*h**5 - 6*h**4 - h**5 - 5*h**2 wrt h?\nAnswer: -300*h**2 - 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77 * 0.045074.\nAnswer: -3.470698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -521 (b) 0.1 (c) -2\/4209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -z + 4*p + 425, 0 = 4*z - 2*p - 1866. What is the greatest common factor of z and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-4)\/14)\/(72\/(-504)))\/(8 - 1). Let p = 2 + -5\/2. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*t - 367, 101*t + 385 = 106*t + 5*l. What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11319360.\nAnswer: 2, 3, 5, 13, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*t = 17, 0 = 4*t - 16 - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 5*o + 17, 4*o - 22 = -0*j + 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -148?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (9\/(-2) - 625\/(-250)) + 17794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-8)\/20 + 17\/5. List the prime factors of 322 - (3\/(-4) - 2\/r).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 3, f: 3, p: 3}. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-222)\/(-9) + ((-10)\/6 - -1). Let p be (4\/(-57))\/((-16)\/l). Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1) + (-2 - 2). Let q = -5.4 + 5. Let l = -72 - -362\/5. Which is the closest to -2\/5? (a) q (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytytoottoogtttt. Give prob of sequence gt.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-667)\/(-116) - (3 + 3). What is the second smallest value in g, 4, -0.07, 14\/9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642306.\nAnswer: 2, 821153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -1000914.41?\nAnswer: -1101005.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or 6\/23?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2*u**3 - 2. Let y(x) = -627691570 + x + 3*x**2 + 627691570. What is y(l(i))?\nAnswer: 108*i**4 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, 34, 176, 478, 994, 1778, 2884?\n\"Answer: 9*h**3 - h**2 - 24*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/11 - 40*c\/11 + 72\/11 = 0. What is c?\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4523828 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1.19288\nAnswer: 0.19288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {r: 2, w: 3, e: 1, t: 3, k: 3, q: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4, 0, -7.6?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2394761935691 - -32.9.\nAnswer: 2394761935723.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*i - 2*t, -16*t + 13*t = 2*i - 5. Solve 2*o - 1 = 2*g - 7, i*o = -g + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.4 + 6. Let d = -1.6 + x. Which is the closest to -2? (a) 4 (b) d (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p. Let f(d) = -9 + 16*d**2 - 7*d + 10*d**2 - 27*d**2. Let o be f(-3). Let c(w) = -w + 3 - o - w. Give c(i(l)).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 6*n**2 + 4*n - 3. Let b be x(5). Let u = b - -12. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + u + 13. Let b be p(-4). Let f = b + -42. Let v(r) = 5*r + 1. Determine v(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*a + 9, 0*a - 3*a - 9 = u. Find b such that u*b + 0 + 1\/3*b**4 - 1\/3*b**2 + 1\/3*b**3 - 1\/3*b**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 + -4?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28991606 is divided by 192?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 30. Let x be r(8). Let t(d) = d**3 + 11*d**2 - d + 7. Let n(q) = -2*q**3 - 21*q**2 + 3*q - 13. Let z(u) = 6*n(u) + 11*t(u). What is z(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*(-15)\/(-260) + -1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714*q + 696*q - 1542*q.\nAnswer: -1560*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -6 + 21. Suppose n*a + 0 = 10. Suppose -2*g = a*g - 52. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -43 (b) 24\/5 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**9\/20160 - q**8\/1344 + q**7\/210 - q**6\/60 + q**5\/15 - 4*q**2. Let m(r) be the third derivative of o(r). Factor m(x).\nAnswer: 3*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.688389 + 2340.277.\nAnswer: 2337.588611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125955338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74 - -8202?\nAnswer: 815b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 - (-3 - (-1 + -2)). Suppose -24 = -0*m - 2*m. Suppose m*k - t = 9*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.1, 36.36, -0.09, 0.5, 7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-12)*2*1. Suppose 2*t = -0*t + 6, -3*t + 39 = z*h. Suppose 8*y + 4*l = 4*y + 40, 1 = -2*y + 5*l. What is the remainder when h is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -299 from -0.444.\nAnswer: 298.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1001022021?\nAnswer: -1001022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-8)*4)\/((-1)\/(-282)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4645119, 4645118, 4645117?\n\"Answer: -l + 4645120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33265 + -3392947\/102. What is the common denominator of v and 7\/561?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -43*t - 4. Calculate p(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 3, -4*m = w - 15. Suppose m*t - 11 - 41 = 0. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m + 4. Calculate the remainder when o(5) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - k - 57. Let q be a(0). Let d = q - -109. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 16. Let p be c(-18). Let m be -6*p\/(-40)*-6. Which is greater: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Suppose -102 = 3*o + k*o. Let j = 36 + o. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let w(b) = 7*b + 2. Let m(u) = -5*i(u) - w(u). What is the tens digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*i + 8833 + 8965 - 26634 + 8836.\nAnswer: 95*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 9034926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40280*j + 204 = 40297*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -473*w - 10 - 1005 - 877. Sort -2, 5, w, 16.\nAnswer: w, -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/2 - 8669*o**3 - 75359133*o**2\/2 - 898873624*o + 1948534874 = 0. Calculate o.\nAnswer: -8657, -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 54. Suppose -o = -2*v - 4. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5481*v - 2738*v = 2746*v - 229, -2*g - 3*v + 221 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/11)*u)\/u)\/u*((u\/u**(-2\/11))\/u)\/u*u)\/((u*u\/((u*u**(-1))\/u)*u)\/u)**(1\/24)*(u**(-2\/9)*u**(-1\/2)\/u*u)\/(u**0*u)**(11\/3) assuming u is positive.\nAnswer: u**(-397\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13364264.\nAnswer: 2, 1670533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2 + 221\/(-65). Is -1\/3 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**5\/20 + x**4\/8 + x**2 + 1. Let i(w) be the second derivative of o(w). What is k in i(k) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 31, -4 in increasing order.\nAnswer: -37, -4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13128 + -11028. Solve 0 = 3*a - 2106 + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 10:03 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = 20*d - 14756. Let s = d + -373. What is the highest common divisor of 1037 and s?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 3*x + 0*x + (-2*x + 1 - 1)*(0 + 1 - 2) + 3 - 3 + 2*x + 2*x + 0*x - 7*x to t*x + n and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 4*v**2 + v**2 + 6*v**2 - v**2.\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = -2*n, 0*f + 2*f - 4*n + 18 = 0. Suppose 2*d - 2 = 6. Let s(v) = 5*v**2 + 3*v - 3. Let h be s(1). Put h, f, d in ascending order.\nAnswer: f, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -44 + 2*o + 44 - 20*o. Let y(r) = 18*r**2. Give y(q(l)).\nAnswer: 5832*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + -1003?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 260 = 2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10741890 by -370410.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*y + 24 - 38 = 0, -2*y = -5*w + 13. Sort 5, w, 327.\nAnswer: w, 5, 327","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 95*z + 137468. Give w(-287).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n - 55. Let y(c) = -16*c. Let w be 1*-6*(-1)\/3. Let u(g) = -3*g. Calculate n*u(v) + w*y(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.06 (b) 55 (c) -2.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -27*n**2 + 8*n + 9. Calculate o(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -2*f + 60, -2*s - 46 = -3*f - 36 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -656 (base 14) to base 2\nAnswer: -10011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqmllblqllmbbbmqb. Give prob of sequence bbmq.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 2)*(-57 + -1) is divided by (-3 + 38)*(-42)\/(-98)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -118 - -6?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:39 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0713788992 - 0.11.\nAnswer: -0.0386211008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*u**3\/19 + 34*u**2\/19 + 60*u\/19.\nAnswer: -2*u*(u - 2)*(16*u + 15)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 262*m + 274*m + 288*m - 1095*m + 272*m.\nAnswer: m - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 63*i**4 - 7*i**3 - 4*i**2 - 7*i - 182. Let u(f) = -21*f**4 + 2*f**3 + f**2 + 2*f + 61. Let h(v) = 2*g(v) + 7*u(v). Differentiate h(z) wrt z.\nAnswer: -84*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3345063\/1295 - -18079\/7. Calculate the common denominator of -103\/370 and h.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*l + 3*m, 0 = 3*l - 2*l - m + 1. Let b be l - (1 + -2 + -1). Suppose -3*c = -5*s - 15, 7 = c + b*s + 2. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4092369, -4092379, -4092387, -4092393, -4092397, -4092399, -4092399?\n\"Answer: f**2 - 13*f - 4092357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -22*z + 15. Let x be (-24)\/16*(-30)\/(-9). Let i(y) = 22*y - 13. Let t(p) = x*n(p) - 4*i(p). Differentiate t(v) wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 + 7)*(-2)\/(-10). Let d(l) = -l**2 + 22*l - 130. Let t be d(12). What is the closest to -0.2 in t, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**2\/2 + 32*i - 11. Suppose -b + 5*s = 3, -3*s - 2*s = b - 17. What is the remainder when a(-9) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 89?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b (base 13) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 1, z: 2, l: 1, a: 1, c: 1}. Give prob of picking 1 a and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.224562 months in decades?\nAnswer: 0.12687135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:54 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 - 5*w**3\/3 - 2*w**2 + 2*w + 3. Let u be v(-4). Let q(l) = -l**2 + 3*l + 4. Let n be q(4). Solve n*o = u*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.0135 + 0.0135. Which is the fourth smallest value? (a) g (b) -0.1 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-12)*(434\/(-1085))\/((-7)\/5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2. Let a(f) = 64*f**2 + 56 + 49*f**2 - 56. Calculate a(q(s)).\nAnswer: 452*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83 and 5.\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*r + 98, l = -r - 4*r - 50. Let s = 32 - l. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1454b1325 - 0?\nAnswer: -1454b1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d*d*d**(2\/23))*(d\/d**(7\/3))\/((d**(3\/16)\/d)\/d))**(-34) assuming d is positive.\nAnswer: d**(-82433\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (210\/(-49))\/((-1)\/(-7)). Let t = -28 - s. Put t, 1, 4 in ascending order.\nAnswer: 1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 48. Suppose z*m - 3*h = 30, -4*h - 50 = -5*m - 7*h. Suppose 0 = 5*t - 513 + 163. Calculate the highest common factor of t and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189137 (base 13) in base 11?\nAnswer: 393707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 - 2)*(6 + c - 6).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, f: 2, k: 2, e: 2, m: 2}. Give prob of picking 2 k, 1 e, and 1 f.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 1 = -5*x, -2*l + 2*x = -146. Calculate the remainder when l is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4)*w*w**(2\/23))**(2\/5) assuming w is positive.\nAnswer: w**(43\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 - 3*h**2 - 3. Let n = 154 + -159. Let l(c) = 10*c**3 - 5*c**2 - 5. Calculate n*s(o) + 3*l(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**10)**44\/(f*f**(-4\/7)*(f*f*f**(6\/5))\/f*((f*f\/(f**(1\/3)*f))\/f)**(-1\/37)) assuming f is positive.\nAnswer: f**(3408553\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340 (base 10) to base 5.\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 26 = 5*w. Solve -4*n = 4*z + w - 31, -14 = -5*z + 3*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9\/13, -5\/4, -804 in decreasing order.\nAnswer: 4, 9\/13, -5\/4, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -9 - 2) + 5\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1352 - 1353. Let a(c) = c**3 + c. Let q(x) = 6*x - 15. Let d(b) = -b + 2. Let u(z) = -15*d(z) - 2*q(z). Determine w*u(o) + 4*a(o).\nAnswer: 4*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 57050*m - 8 - m**2 - 5 - 57042*m. Let u = -7 - -14. Give p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490838, 981745, 1472656, 1963571, 2454490?\nAnswer: 2945413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 182*b**2 - 534*b + 4. Determine z(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19729.\nAnswer: 109, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 5*z - 2*z)*(-3 - 2 + 4) - 202 + 549 - 189 - 173 - 10*z to q + r*z and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -306, -335, -364?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*c - 5*c + 20, 4*k + 3*c = 20. Let d = k + -2. Suppose q = -d*q + 372. List the prime factors of q.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*a = 30, 135044*w - 24 = 135045*w - 4*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/((f\/((f\/f**(-9\/5))\/f))\/f)*f))\/(f**7\/f) assuming f is positive.\nAnswer: f**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**2 + 3*d - 5. Let s be 1\/3 + (-46)\/(-6). Let f be (10\/s)\/((-2)\/(-8)). Let b(h) = -3*h + 5. Determine f*j(i) - 3*b(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 66069268 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54\/(-10))\/(624\/90 + -7). What is the greatest common divisor of j and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -23. Suppose 27 - 112 = -h*a. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48236.\nAnswer: 2, 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27149 in 4, -9472, 0.1?\nAnswer: -9472","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = m - 22, -4*d + 2*d = -2*m + 50. Suppose 2*a - a = 126. Suppose -m = -5*i + a. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5 + 2\/(-5). What is the tens digit of 2 + 1 - (-20 - m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Let q = g + -2. Sort q, -0.5, -5 in increasing order.\nAnswer: -5, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 4, c: 1, v: 5}. Give prob of sequence bvv.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 139444815.\nAnswer: 2\/139444815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*h + 52 - 100 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00188 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d - 216. Let l = 2828 - 2845. Determine t(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Suppose -60 = -f - j*f. Suppose f = -0*t + 5*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 4*i**2 + i - 2. Let m be x(-4). Let a be (-14)\/(-10) - m\/10. Find the second derivative of 0*f**4 + f**4 + 2*f + f**2 - f**a wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - -2)*(-1 - -2). Let g = -4 + l. Let j(o) = 2*o**3 + o**2 - o - 1. Is 17 a factor of j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384862 (base 9) in base 2?\nAnswer: -111000111100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**3 + 4*t + 6. Let d(k) = -3*k**3 + 2*k + 3. Let u(s) = 94*s + 89. Let l be u(-1). Calculate l*d(a) + 3*o(a).\nAnswer: -6*a**3 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50750095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 (base 12) in base 6?\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119\/192 + -3\/64. Suppose k - 4*k = 5*h - 1, h = 2*k - 5. Suppose 0*v + v = -k. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 4. Suppose r - 148 = -p*v, -2*v + 4*r + 38 = -18. Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81872396.\nAnswer: 2, 20468099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.03 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 2 - (2 - 8). Suppose 0*b + 9 = -4*u + 3*b, 12 = -3*u + 4*b. Suppose u = 4*a - 20. Solve 4*f - k = a*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8380.67 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68611243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*q + 16, -5*c + q - 1 = -6. Let l be 36\/(-6) + 5 - (-32)\/c. Solve 5 = 4*o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*r = -r + 35, 4*r = 3*d - 73. Let z = d - 25. Solve -f - 3*q + 6 = 0, q = -0 + z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, 3\/2, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + -2 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266703 (base 8) to base 16.\nAnswer: -16dc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 971*d**3 + 32*d**2 + 14*d - 6. Let m(g) = 2912*g**3 + 96*g**2 + 43*g - 20. Let h(y) = 10*j(y) - 3*m(y). What is the third derivative of h(w) wrt w?\nAnswer: 5844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53668824 to the nearest integer?\nAnswer: 7326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -11*r - 601*l + 600*l, -2*l = 5*r + 85 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 52*p**2 - 44*p - 22. Let u(y) = 2*y**2 - 2*y - 1. Let m(d) = -2*t(d) + 44*u(d). Let f(c) = 130*c**2 - 68*c**2 - 66*c**2. What is m(f(q))?\nAnswer: -256*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 243\/2*b - 30*b**2 - 135 + 3\/2*b**3 = 0. Calculate b.\nAnswer: 2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 1.1. Let m = 0.4 + h. Let c = -115 - -115.1. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15069444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - w**3 - 16255*w + 16255*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/21*3*(-4)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 30. Solve -4*o - o = i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 4. Give x(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/j**3)))\/(j\/((j**3*j)\/j)))\/((j\/(j\/(j*j**(4\/7))))\/j**(1\/2)))**(-38) assuming j is positive.\nAnswer: j**(285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5051160 and 9092088?\nAnswer: 45460440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - 130\/(-15). Suppose 2*y + 2 = g + g, -5*g + s = -4*y. What is the derivative of 0*f**4 + 2 + y*f**4 + 0 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)**(-48))**25*((m*m*m**(-2\/3)*m)\/m*m**(1\/3))\/((m**(2\/15)\/m)\/(m*m*m**6\/m)) assuming m is positive.\nAnswer: m**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 271cd (base 14) to base 10\nAnswer: 96417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**3\/15 - n**2\/10 + 19. Find f, given that p(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 - h + 6. Calculate the remainder when 9 is divided by f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1083?\nAnswer: -324.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 418\/3 - 8*(-4)\/48. What is the first derivative of -f*n**2 + 26 - 169 - 19*n**3 + 140*n**2 wrt n?\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -82.1821.\nAnswer: -1808.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010000121211 (base 3) to base 8.\nAnswer: -32451654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 4:33 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:21 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 300*n**4 + 220*n**3 - 1875*n**2 + 485*n - 30 = 0?\nAnswer: -3, 1\/10, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 bigger than 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3628942 and 8?\nAnswer: 14515768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-1)\/((156\/12)\/13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*s + 2*s = -5, 21*w + 95 = -4*s + 39 + 52 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -240*-1901\nAnswer: 456240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*m - 19*m + 987 - 2899 = 1112 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218808, -219049, -219450, -220011?\nAnswer: -220732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1592 greater than or equal to -1534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)\/w**(-15\/2))\/((w\/(w\/w**(4\/13)))\/((w\/w**(9\/7))\/w)) assuming w is positive.\nAnswer: w**(711\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kssstststssstststtt. What is prob of picking 2 s and 1 t?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 11561?\nAnswer: 11602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2330 - -2420. What is the highest common divisor of 210 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 0)*(-5*z**4 + 5*z**4 + 2*z**4) - z**4 - z**4 + 0*z**4 + z**2 - z**2 + z**4.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 + 34*v**3 + 192*v**2 + 416*v + 256 = 0. Calculate v.\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-7)\/(-42))\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 523 = -5*f + 619, 5*x + f = 99 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 619, 928, 1237, 1546?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5649372498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*o + 10 = -0*o, -l + 4*o - 2 = 0. Let q = 43 + -44. What is the nearest to 1\/2 in l, -24, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2466 + -2472. Sort -3, h, -1, -5 in descending order.\nAnswer: -1, -3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*((-16)\/(-6))\/(-4). Suppose 5*p + 3*b = f*b - 37, 5*b - 17 = p. Let s(n) = 64*n + 1923. Let m be s(-30). Sort -4, m, p, -5 in decreasing order.\nAnswer: m, -4, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 48282663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - 8*f**2 - f + 1. Let d(i) = -22*i**3 - 7*i**2 - 2*i + 559. Let h(p) = d(p) - 2*z(p). What is the first derivative of h(a) wrt a?\nAnswer: -42*a**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 - p**2 + p - 1. Let y be (2\/(-2))\/(2\/(-2)). Let z be x(y). Let b(a) = -1 - a**z + 3 - 3*a + 1 - a**2. Calculate b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -3. Let j(p) = -2*p**3 + 11*p**2 + 8*p - 9. Let x be j(6). Suppose 6 + 26 = 2*q + 5*c, -36 = -4*q - x*c. Put 3, q, n in descending order.\nAnswer: q, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*a + 200, -3*a + 160 = g + 4*g. Suppose 31 = -4*y + g. Suppose -5*i - 4*f + 5 = -2, 0 = -i - f + 2. Put y, -17, i in ascending order.\nAnswer: -17, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/6 + p**3\/6 + p**2 - 11*p. Determine n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -329854177*d**2 - d - 142303360.\nAnswer: -659708354*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 130.8. Let o = g + 11. What is the nearest to -36 in 0.5, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1916 and 107\/7807700.\nAnswer: 7807700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 3240?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {o: 2, v: 1, h: 4, l: 4, t: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**3 + 1763*c**2 - 183*c + 2553. Give x(-196).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-3\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -23402?\nAnswer: 93608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -19\/179675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1722 + 21 + (2 - (-3 + 0)). Calculate the highest common factor of 76 and m.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23600 - 1187. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 220 + 50. Let l = 155 + m. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - -25?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 567\/540 - (-2)\/10. Sort f, -1.1, 0.1 in increasing order.\nAnswer: -1.1, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9701922*z + 11075016 wrt z.\nAnswer: 9701922","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:50 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/7))**(2\/161)\/(i**(-11\/4)*i**(4\/13)) assuming i is positive.\nAnswer: i**(143961\/58604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f + r = 2, 0 = -4*r + 8. Suppose -2*o - 62 = 2*m, -2*o + 4*m - 38 = -0*o. Let p = 107\/4 + o. Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 0)*(-32*f + 14*f - 89*f) + 2*f + f - 4*f + 0*f + 3*f + f + (-3 + 3 - 2*f)*(-3 - 3 + 4) to r + a*f and give a.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 16}. Give prob of sequence nn.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-18179043.\nAnswer: -9089521.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5535, -5517, -5499, -5481?\nAnswer: -5463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:41 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10920, 11237, 11554, 11871, 12188?\n\"Answer: 317*w + 10603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -48.6. Let i = 6 + n. Let p = -222957 - -222962. What is the fourth smallest value in p, -0.4, i, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2\/5 + 52412*q\/5 - 343377218\/5 = 0.\nAnswer: 13103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, n: 1, v: 1, l: 1, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.72? (a) -0.4 (b) 2\/23 (c) 0.11 (d) 0.256 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-360)*3\/(-39)*-24.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(-37)*(d\/d**(-2))\/(d*d\/d**(-3\/7)) assuming d is positive.\nAnswer: d**(1040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 6 = -14*v + 385*h - 384*h + 16, 0 = v - 5*h - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1934, 3070, 4206, 5342?\n\"Answer: 1136*r + 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450112 - 2503?\nAnswer: -453015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - (-8 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22166 less than 24506941?\nAnswer: 24484775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1368533800 divided by -5\nAnswer: 273706760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*r - 14*r + 41*r)*(-129 - 41*r**2 + 129)*(3 - 3 - 2).\nAnswer: 5412*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 8, h: 2, z: 1, k: 1, u: 6}. Give prob of picking 1 u, 1 a, and 1 k.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 103585 - 103585.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -22. Suppose -12 = -4*x, 0*m = -m + 3*x + t. Suppose -m - 26 = -y. Calculate the greatest common divisor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -0.8, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652753078307*i + 6*i**2 + 5*i**2 - 652753078307*i.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*b*u**2*v + 3*b*u**2 + b*u + 16*b*v - 3*u**2 + 15*u*v - 7*v - 1890 with respect to b.\nAnswer: 51*u**2*v + 3*u**2 + u + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2 - 588*k + 582*k - 2. Let t(d) be the first derivative of -3*d**2 + 2 + 3*d**2 - d**3. What is j(t(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 295255 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:10 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-13\/2))\/o*o*o**28)\/(o\/(o*o**22*o*o)*o*o**(4\/5)*o) assuming o is positive.\nAnswer: o**(437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-1574)\/(-14)*-18. Let m be (v\/12 + (-2)\/1)*480. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 - -98. Suppose 291 + 56*n - 89*n**2 - 275 + 18*n**3 + 21*n**d = 0. What is n?\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/(-12))\/((-1)\/4). Let o = 0 + -4. Put i, -1, o in ascending order.\nAnswer: i, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15258830 + 4184467. Let d = 4122608 + y. Let l = -4151755 - d. Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*-3*(sqrt(156) + sqrt(156)*-2))\/(sqrt(72)\/sqrt(216) - sqrt(972)*-2).\nAnswer: -36*sqrt(13)\/109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*n**2 + 0 + 1\/3*n**3 + 0*n.\nAnswer: n**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let i be (6 - 4)\/(2 + -1). Let c(p) = -20*p + 20*p + 8*p**i. Determine c(n(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, 3 in increasing order.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -811?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*j - 426600 = 177*j. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6117712 and 448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 198, 240, 274, 294, 294, 268, 210, 114?\n\"Answer: -a**3 + 2*a**2 + 43*a + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 4*b + 5. Let z be p(-4). Suppose -4*f + z*f = 13. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2 - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0 + 7\/30*o**5 - 1\/6*o**3 + 0*o + 17\/12*o**4 + 60*o**2. What is the second derivative of q(a) wrt a?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0 - v + 0*v + 1 - 9. Let h be z(-6). Which is the biggest value? (a) -0.3 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278582224.\nAnswer: 2, 239, 263, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 5:16 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 2, m: 1, u: 2, x: 2}. Give prob of picking 1 x and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(2*sqrt(50) - sqrt(2)).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 370530.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9812, -9764, -9716, -9668, -9620, -9572?\n\"Answer: 48*k - 9860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66466182 to the nearest integer?\nAnswer: 8153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 32*p - 9*p + 4*p - 1075 = 0 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**3\/8 + 4274*s**2 - 10440771*s\/2 + 2981682.\nAnswer: -(s - 2442)**2*(7*s - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -0.77. Let d = 2.03 + u. Let l = -8.9 + 0.9. What is the smallest value in d, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, -2, 35, 0.5, -5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 2, w: 4, y: 2, f: 4, m: 2}. Give prob of sequence gmuf.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49051*m**2*v**2 + 2*m**2 + 560*m*v - v**5 wrt v.\nAnswer: 98102*m**2 - 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/140*32\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230 + 40?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 + 2*i**2 - 2*i**2)*(-1 + 1 + 1)*(-2 - 4 + 5)*(-4*i + 2*i - 9*i) to the form n + z*i**3 + s*i**2 + u*i and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 231. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/16 + 8\/((-256)\/(-163828)). Factor 6*i**3 - t + 0*i**3 + 143*i**2 - i**3 + 172*i**2 + 4800*i.\nAnswer: 5*(i - 1)*(i + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*r + 25*r + 9*r**2 + (0*r - r - 2*r)*(-7*r + 8*r + 4*r) - r**2 - 13*r**2 + 0*r**2 to n*r + k + y*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15883*y + 651*y - 654976 = 0 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-706*i + 1403*i - 770*i)*(4 + 1 - 4) - 3 + 20*i + 0*i + 2 as k*i + z and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-5 - (5 - 41 - -12) - -6)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -41. What is a rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 54 = 2*k, -2*k + 5*h + 37 = -3. Which is the second smallest value? (a) -0.2 (b) k (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2. Let i(q) = -q + 4. Let j(g) = 1. Let w = -3 + 5. Suppose 3 - 5 = w*r. Let y(k) = r*i(k) + 4*j(k). Calculate z(y(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.7.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 5) to base 14.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.98542 + 0.05458. Which is smaller: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:22 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -281*d + 83440 - 91308 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15338, -30684, -46032, -61382, -76734?\nAnswer: -92088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 187. Let g(z) = -4*z + 191. Determine -4*g(s) - 5*h(s).\nAnswer: -4*s + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9655688 = 3*v - 4*c, 2*v - c - 1776299 = 4660833. Let z = 7518568 - v. Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3827*z - 3 - 3849*z + (0 + 0 - 1)*(3 - 3 - 2*z) - 3*z + 3*z + z)*(2*z**2 - 3*z**2 - z**2) - 6 + 6 - 4*z**3.\nAnswer: 34*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/8 + 75*t**4\/2 + 2357*t**3\/2 + 20313*t**2\/4 + 21195*t\/8 - 35775\/4 = 0.\nAnswer: -265, -30, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15667*d - 15646*d + 31314*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 5 - 5 + (3 + 2*k - 3)*(2 + 3 - 3) - k + 3*k + 545 - 413.\nAnswer: 5*k + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5248 - 2*t**2 + 5248.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1. Let a(t) = t**2 + 6*t + 7. Let h(u) = -a(u) + 6*r(u). What is the units digit of h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -9093.\nAnswer: 281883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -523, -923, -1323, -1723, -2123, -2523?\n\"Answer: -400*b - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202923\/34 + 5969. Let f = 83\/85 - w. What is the biggest value in f, 5, 3\/7, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 2*r + 11. Let b be n(4). Let h be 6 + -2 + b + -5 + 1. Suppose 0*z + x - 11 = -z, -25 = -h*z - 5*x. Solve z = -4*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345893.3m in kilometers?\nAnswer: 345.8933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -148815?\nAnswer: 148819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/9 (b) 0.3 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 21) + (-7 - -27 - (-33 - -45))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -364, -1507, -3436, -6157, -9676?\n\"Answer: -k**3 - 387*k**2 + 25*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178941 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*o = -28, 0 = -4*g + 3*o + o + 16. Let a(i) = -3*i**3 + 16*i**2 - 10*i + 16. Let u be a(5). Let b be 2 - (-3 + 6\/u). Which is greater: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s)**(-22)*s**(-3\/5)*s*s\/(s**(-2\/9)*s) assuming s is positive.\nAnswer: s**(-1358\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110111110 (base 2) in base 10?\nAnswer: -6590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -17*l + 2. Let a be c(-2). Suppose a = 2*n + 2*n. Let z = n - 3. Solve -2*v - z = -0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11306628 and 216.\nAnswer: 22613256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - 46. Let u = -132.32 - z. What is u rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 79*g**2 - 1309*g - 1171. Calculate t(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.68 rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (0 - 0) + 2)*226. Suppose 0 = 4*k - l + 264. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 + 439. Let l = 47.614775 - -203.387095. Let w = l - t. What is w rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*5)\/6 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6 - 10. Let f = 269 - 169. What is the highest common divisor of b and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffbffbbbffb. Give prob of sequence fff.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46184 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: Is -400 smaller than -12436\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 2139561?\nAnswer: 2139552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30e + 8?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 819?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137243 and 1308175.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Suppose 209 = 2*v - 3*q, p*q - 1 = q. Let c = v + -61. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to 0.87968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7aa - 9?\nAnswer: -7b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from aasxaxa?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2480.593 - 2479. Let y = -0.123 + c. What is y rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209601037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 12 = -4*m. Suppose m*u = 2*u + 14. Suppose 3*q - 4 = -2*d + 33, 0 = -q + d + u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778093172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 603049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v = 21*v - 45*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 4. Let y(c) = -4*c + 5. Suppose -5*q + 26 + 9 = 0. Let s = -5 + q. Suppose -5*j - 36 = 4*w - s*j, 16 = -4*j. Determine w*l(b) - 5*y(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (441\/(-4410))\/((-2)\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*d*x**4 - 3*d*x**3 - d*x - 12*d + x**4 - 6*x**3 - 7*x**2 + 4*x wrt x?\nAnswer: -696*d*x - 18*d + 24*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 2\/3, -8.17.\nAnswer: -8.17, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*m = -u + 105, -2*u + 74 = -4*m. Suppose h + 3*s = -12 + u, -4*s - 68 = -4*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/12 + 4\/16. Let t be (-120)\/(-16)*n\/(-3). Solve 4*q = -q - t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455?\nAnswer: 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -54818 (base 9) to base 13\nAnswer: -1373c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = 2*d - 289268. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/18*3\/2. Sort 3, 0.8, w in descending order.\nAnswer: 3, 0.8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8761236 divided by -2920412?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9.8. Let t = i + 0.8. Let x be 19866\/(-19565) + 16\/26. Which is the nearest to 12? (a) -1 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, r: 5, g: 1, c: 1}. Give prob of picking 1 r and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3320 (b) -2 (c) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/5)\/(9\/7))\/((-9)\/81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, -6, -99, -192, -285, -378?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 5.3. Let u = -121 + 32. Let i = -86 - u. Which is the third biggest value? (a) -1\/5 (b) m (c) i (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3093 or -3095?\nAnswer: -3093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 430905 + -430902. Factor 3\/4*d**2 + q*d - 15\/4.\nAnswer: 3*(d - 1)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-185)\/19240*(-1)\/((-4)\/4).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -503, 10, 0, 3, -2 in decreasing order.\nAnswer: 10, 3, 2, 0, -2, -3, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**6 + 4196*r**3 + 136*r**2 + 66*r + 3 wrt r.\nAnswer: 840*r**3 + 25176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857*s - 76429 = -1786*s + 21932 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 353 - 350. Let a(o) = o. Let x be a(2). Suppose 3*c + 7 = v*t - x, -t + 2*c + 4 = 0. Solve 3*l - t*l = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4 + 20*j**3 + 40*j**2 - 20*j - 42 = 0.\nAnswer: -7, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2178))\/sqrt(6))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose 0 = 5*z + 4*y - 11, o = -3*z + z - 4*y + 2. Suppose 5*q - 14 = -z*w, -4*q = q + 5*w - 10. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/27)\/((-2)\/(-12)*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 539*z - 137085. Determine l(254).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -219, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*p**2 - 939*p**2 + 314 - 617 + 305 + 3*p - 3*p**4 + p**4 to n*p**4 + t*p**3 + k + o*p + c*p**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -439901?\nAnswer: 4398b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -13.5011392?\nAnswer: 16.5011392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(-4)*(a**5*a*a*a)\/a*(a\/(a\/(a\/(a*a\/(a*a*(a\/(a\/a**1*a))\/a)*a*a))*a))**6 assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-3525)\/470*8\/70.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -33. Let z be j\/(-6) + (-4)\/8. Let d(c) = 3*c + 1. Let i(h) = -2*h + 2*h + h. Calculate z*d(w) + 4*i(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102 from 6.28.\nAnswer: 108.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26910 and 276.\nAnswer: 53820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.15685 to two decimal places.\nAnswer: -6.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0 - 5 + q**2 - 7*q + 1. Let c be f(8). Suppose 3*v = 2*v + c. Solve 2*y + 0*y = v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*p - 29, 5 = 5*z - 2*p - 16. Solve z*i - 2*f + 19 = 0, -2*i + 5*f - 25 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15031, 30062, 45093, 60124?\n\"Answer: 15031*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -1. Suppose c - k + 2 = 0, 2*c - 3*k = -0*c - v. Solve 0*o = c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 23 = -o - 17, 4*k = 4*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 460\/3 + -154. Suppose 0 = 5*z + 2*l + 13 + 3021, -2*l = 3*z + 1818. Let c = z - -22494\/37. What is the third smallest value in f, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15525718, 15525716, 15525714, 15525712, 15525710, 15525708?\n\"Answer: -2*r + 15525720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12746, -12748, -12750, -12752, -12754, -12756?\nAnswer: -12758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166 + -164. Suppose -t*a = -1057 - 729. What are the prime factors of a?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 + 6*r**2 - 40*r\/3 + 8.\nAnswer: -2*(r - 6)*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 208. Let x = q + 124. Let k be x\/(-6)*(1199998 + 2). What is k rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2828461 millimeters to micrometers.\nAnswer: 282.8461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*u**2 - 49*u**2 + 58*u**2 to the form v + z*u**2 + g*u and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*p - 5*m - 25, 2*m = 4*p - 10. Solve p = -w - 6 + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 1 + sqrt(325) + 3 + (sqrt(117) + sqrt(117) + 0 + sqrt(117))**2 + sqrt(1053)*1)*4.\nAnswer: -8464 - 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 4, n: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*v - 140*v + 287*v to u*v + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 42151398?\nAnswer: 421513a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -4\/7, 9, -0.2, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/3*14\/(-7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182071871 to the nearest integer?\nAnswer: 13493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 - 5*c + 5. Let f(v) = 587*v**2 - 8*v + 8. Let i(b) = 490*b**2 - 7*b + 7. Let j(y) = 5*f(y) - 6*i(y). What is -5*j(u) - 2*s(u)?\nAnswer: -2*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 7*h - 42. Let j be x(-9). Is 805 + j - (-1 + 5) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1)**(-13))**(-32))**(1\/40) assuming h is positive.\nAnswer: h**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 23*g + 25. What is t(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44980*v**3 - 92031*v**3 + 45901*v**3.\nAnswer: -1150*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12934 divided by -26.\nAnswer: -6467\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = -5*a - 32, 4*v = -4*a - 48. Is 390\/7 - a\/28 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17672 and 22184?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 41. Suppose 5*p = 4*c + d, -3*c - 4 = -3*p - 1. Which is bigger: c or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 6, 1717 in descending order.\nAnswer: 1717, 12, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 + 4 - 5 + 3 + 3 + (5 - 2 - 2)*(2 + 1 - 5) + 9 - 3 - 2)*(4 - 5 - 1)*(3*q**4 - 4*q**4 + 2*q**4).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**2 + l + 2. Let n(c) = -41*c**2 + 6*c + 11. Let b(v) = 2*n(v) - 11*x(v). What is b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*s - 2*b, 5*b + 30 = 2*s + 9*b. Let n(j) = 0 - 5 + 1 + s*j + 2. Give n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -17*w + 64 - 69 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + 2. Suppose -j + n = 3*j. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 513 = -5*k, k + 9*g = 7*g + 97. What is the greatest common divisor of k and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 1)\/((-6)\/(-78)). Let k = r - 27. Find the common denominator of -79\/4 and (-161)\/(-12) - 8\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1659909613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-644)\/8 - ((-3)\/(-2) - 1). Let m = 101 + f. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 396, 513, 740, 1113?\nAnswer: 1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56385 divided by -9.\nAnswer: -6265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000291453 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248 + -249. What is the third biggest value in n, -0.2, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*17 - 24\/(-3 - -7)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 20*n - 6*n**3 - n**3 - 9*n**3 - 7*n as c*n + r*n**2 + w + f*n**3 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 350741262 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16664477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -303, -1244, -2831, -5076, -7991, -11588, -15879?\n\"Answer: -2*l**3 - 311*l**2 + 6*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.910096 nanograms in milligrams?\nAnswer: 0.000005910096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 4, j: 1, d: 2}. Give prob of sequence jdi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*q*y**2 + 5*q*y + 5*y**4 - 2*y**2 + 3*y + 35 wrt y.\nAnswer: 208*q + 60*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.36 + -8. Let p = 0.14 + d. What is the second smallest value in 5\/2, p, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1, 0.7, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o + 0*o)*(2 + 1 - 5)*(-o - o - 1 - 8).\nAnswer: 4*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10\/3*f + 2\/3*f**2 = 0. Calculate f.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(1 + g - 1)*(3*g - 4*g + 4*g + (26 - 21 - 24)*(-4*g + 2*g - 3*g)).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/3 + 2528*s\/3 - 128656.\nAnswer: -4*(s - 374)*(s - 258)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*w + 52 = -467*w + 4*k, -4*w + 13 = k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -2 + -2 - 275\/(-25). Let i(b) = -b**3 + 3*b + 1. Let q be i(-2). Suppose -4*y + s*g - 5*g = -1, y + 3*g = -q. Solve y = -2*u - 4 - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 11*l**2 - 11*l - 6. Let z be t(-10). Let s be -8 + 6 - (-14)\/z. Which is the second biggest value? (a) s (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -3*y**2 + 51*y - 2012. Determine w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5 - (8 - 4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/360 - p**3 - 19*p**2. Let m(a) be the first derivative of w(a). Let z(n) = 14*n. Calculate m(z(h)).\nAnswer: -196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 58*r**2 + 38*r - 23. Is g(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141480879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3\/2, -4692 in decreasing order.\nAnswer: 5, 3\/2, -2, -4692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43271817713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 40*g**2 - 107*g + 29. Calculate h(-41).\nAnswer: 2735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + -4 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from nonooeoooownkopppo?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 - -161. Solve j - o*n = 14, -4 = -2*j + n + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1659\/4 - -417. Let z = 22 + -10. Calculate the common denominator of n and 64\/10 + (-3)\/z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -6 - 6 - (99 + -79)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 61*v - 275. Let f be h(-56). Solve 20 = 4*p + 2*n, f*p - n = 2*n + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12662, 12688, 12752, 12872, 13066?\n\"Answer: 3*r**3 + r**2 + 2*r + 12656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 5. Suppose 48 = c*a - 3*k, 3*k = -5*a + 3*a + 36. Calculate the remainder when 45 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {t: 1, e: 1, d: 1, l: 4, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 384.1149 millilitres?\nAnswer: 0.3841149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1394 - -414. Let t be 112\/b + (-3)\/((-15)\/2). Let p be -2 + 0 + (-10)\/(-4). Sort t, 0.2, p in descending order.\nAnswer: p, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 38*z**3 + 187*z**2 + 18*z + 10. Let o be m(-5). Put -1\/4, 0.4, 3, o in ascending order.\nAnswer: o, -1\/4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 - (4 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 16. Let o be s(-10). Let y = o + -22. Calculate the greatest common factor of y and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 1 - 21*v**2 - 1.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -122916963 < -122916963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70, 155, 224, 277, 314, 335, 340?\n\"Answer: -8*f**2 + 109*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 4, p: 3}. Give prob of sequence upsu.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*z + 4*a, 2*z - 4*a - 1 = -3. Let m = z - 9. Let i = 2 + -1. What is the closest to 0 in -1\/4, i, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19441273.\nAnswer: 19441273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*b - 113 = -6*g, 0 = -4*g + 4*b + 124. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -28600122.4\nAnswer: 143000612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*k, -a - 3*k + 48 = k. What is the lowest common multiple of (675\/100 + -7)\/((-10)\/4000) and a?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55692 - 55455. Suppose 3*g = -g. Put g, -5, k in descending order.\nAnswer: k, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 10:39 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, 2\/19, -0.3, 2210, -2\/15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -367 and 2?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50\/9 in -2, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:11 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.123.\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297\/7883798 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 89184111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, -1, 41, 5, 18, 4\/7, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qodlr. What is prob of picking 2 d and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -36. Suppose q + d - 26 = -6, -x*d = -4*q + 35. Suppose 3*n = -3*y + 12, 3*y - n - 9 - q = 0. Solve y*w = 4*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 32*y + 277. Determine h(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51 + -42 + (-12)\/(-1). Let y(o) = 2*o - 42. Give y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4 + 33*d**3 + 27*d**2 - 33*d - 30 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8960 and 840?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -52*l**3\/3 - 596*l**2\/3 - 504*l - 192 = 0?\nAnswer: -8, -3, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13*4)\/(5 + -3). Let j(z) = -8*z - 3. Let q = 4 - 6. Let s be j(q). What is the greatest common factor of m and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13302013 (base 4) in base 6?\nAnswer: -403331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 1:22 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/11 (b) -0.017 (c) -224 (d) 0.1 (e) -0.01 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3038*r - 127*r**3 - 3038*r)*(-33*r**2 - 9*r**2 - 3*r**2).\nAnswer: 5715*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063748 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h = -80570 + 84440 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = -9. Suppose -5*j + 24 = p. Let f(i) = 8*i**2 + 575*i + 1583. Let w be f(-69). Put j, -10, w in decreasing order.\nAnswer: j, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 71 = 190. Calculate the greatest common factor of t and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 60 = -3*c. Let x(y) = 9 - c*y + 9 + 2. Does 28 divide x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i. Let c(r) = 2. Let g(v) = 6*v + 6. Let j(t) = 15*c(t) - 5*g(t). Give k(j(d)).\nAnswer: 90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, -0.2, -1\/7, 12\/127 in decreasing order.\nAnswer: 12\/127, -1\/12, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 + 4. Let k = -8 - -13. Let g be ((-112)\/1568)\/((-7)\/(-8) + -1). What is the third biggest value in k, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 76 + 4 = 0. What is the least common multiple of 4 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2763, -5522, -8279, -11034, -13787, -16538, -19287?\n\"Answer: g**2 - 2762*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = 0, -4*a + 5*g + 44 = -76. Solve -15*y - 50 = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r - 55. Let l = -2 - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 0, 7, 3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 1. Let n(f) = -16*f + 3. Let j(h) = -3*l(h) + n(h). Is 23 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12672132.\nAnswer: 2, 3, 11, 96001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74699, 77114, 79529, 81944, 84359, 86774?\n\"Answer: 2415*q + 72284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -28, -33, -18, 29, 120, 267?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302038891.\nAnswer: 7, 11, 53, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257974 is divided by 1217.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 694*g**3 - g**2 + 6*g + 5. Let x(f) = -692*f**3 + 2*f**2 - 5*f - 4. Let h(l) = -4*m(l) - 5*x(l). What is the third derivative of h(w) wrt w?\nAnswer: 4104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*-5*-6.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -580 + 842. Suppose -32*t = -3*b - 37*t + 127, 0 = 4*b - 5*t - 181. Calculate the remainder when o is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2186, 17633, 59572, 141251, 275918, 476821, 757208, 1130327?\n\"Answer: 2208*w**3 - 2*w**2 - 3*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyqqqlkyyyy. What is prob of sequence eqk?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-118)\/136 - 238\/(-2023)) + (-1)\/1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -36*q**2 + 69*q. Let r(b) = b**2 - b - 1. Let f be (8\/(-12))\/(-4*(-1)\/(-6)). Let z(s) = f*v(s) + 6*r(s). Let z(h) = 0. What is h?\nAnswer: 1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 23*m**2 - 21*m + 13. Let u(i) = -i**3 + 12*i**2 - 11*i + 7. Let h(a) = 4*g(a) - 7*u(a). Calculate h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -31. Let h = -12 - -41. Let b = -21 + h. Put a, 0.5, b in ascending order.\nAnswer: a, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-3)\/(-9) - 1). Determine k, given that k**2 - 2*k**2 - k + a*k = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 9*g**2 + 11*g - 6. Let n be b(-9). Let m = n - -112. What is the remainder when 104 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dkdkdkddddkkk?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3474775085 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (40\/(-50))\/((-1)\/(-10)). Solve 1 = s, -5*f - 4*s + 36 - x = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1361071\/531 - -65) + (-2)\/9. What is the highest common divisor of 1168 and h?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 10*m**2 - m - 10. Let i be f(-10). Suppose 2*k - 2*j + 4 = i, 0 = -k - 4*k + 2*j + 2. List the prime factors of (9\/(-12))\/(k\/(-48)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -86. What is the third biggest value in -0.4, m, 6\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001010011 (base 2) to base 3\nAnswer: 1112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -136, -303, -548, -877?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7\/a**(-2)*((a*a*a*a\/((a\/a**(1\/2))\/a))\/a)**(-44)*(a\/a**(-1\/4))\/(a\/(a*a\/(a**(2\/27)*a*a)))*((a\/(a\/((a*a**2)\/a)))\/a)**36 assuming a is positive.\nAnswer: a**(-11753\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -536*n + 2088. Give d(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -371*l**5\/60 + 251*l**3\/6 - 415*l**2. Find the first derivative of m(t) wrt t.\nAnswer: -742*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-21) - (-61418)\/16072.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*-2*(-4)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (3 + -10 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 30. Let l be o - (3 + 2) - -5. Let j(z) = z - 3. Let d(v) = -2*v + 10. Calculate l*d(f) - 10*j(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/3)\/p)\/p*p**7*p*p*p**(-5)\/(p**(-1\/6)\/p))**(-10) assuming p is positive.\nAnswer: p**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s)\/(s*s**(-8)))\/(s*((s\/(s**(2\/15)*s))\/s)\/s*s**(1\/3)) assuming s is positive.\nAnswer: s**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 10.3.\nAnswer: 7.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -59\/323, -235?\nAnswer: -59\/323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/((6\/(-5))\/(903\/(-490)*7)).\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = -4. Suppose 3*y + 6 = -3*h - 0*y, -l*h - 16 = 5*y. Let u(j) = -3*j + 2. Determine u(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1 (c) 5\/413 (d) -1\/3 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -45\/11 (c) 0.1 (d) -0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3627.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:14 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1168*o**3 - 12*o**2 + 6*o - 6. Let s(j) = 2336*j**3 - 22*j**2 + 11*j - 11. Determine -11*q(y) + 6*s(y).\nAnswer: 1168*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 8*c - 8. Let o = 3 - 1. Suppose o*j = -j - 18. What is g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17212, -17217, -17220, -17221, -17220, -17217, -17212?\n\"Answer: f**2 - 8*f - 17205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 177, 739, 1675, 2985, 4669?\n\"Answer: 187*i**2 + i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.51 + -0.21. Let o = -3.11 - 1.89. Let u = -3 - -3.1. Which is the nearest to -0.1? (a) o (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10797*n + 283666 + 93*n**3 - 283666 - 24*n**2 wrt n.\nAnswer: 558*n - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbyjpybyybyyyzy. Give prob of picking 3 y and 1 b.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3785619 and -0.115.\nAnswer: 3785618.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtruvkuukruvuuvu. Give prob of picking 1 r and 3 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/9))\/q)**9*((q**(-6)*q)\/q*q)\/q**(-2\/29) assuming q is positive.\nAnswer: q**(-201\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -33. What is the third smallest value in -4, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 6*l + 21. Suppose -24 = -5*i + 1. Calculate the least common multiple of l and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 + -510. Let v = f - -1514\/9. Let s = 21\/29 - -417\/145. Find the common denominator of v and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-9) - (-14)\/21. Let l(a) = -a**3 + 6*a**2 - 2*a + 8. What is l(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2124830 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (19 - 4)*8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*j + 89*j + 6765. Let c = j - -493. Calculate the highest common factor of 9 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 5*w**2 + 2*w**2 + (3 - 1 + 1)*(2*w**2 + w**2 - 5*w**2) - 2*w**2 - w**2 + w**2 in the form x*w + t + z*w**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 2. Let z(h) = -4*h + 4. Calculate -5*i(t) + 3*z(t).\nAnswer: -2*t + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1281.71 to the nearest integer.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 11. Let z be q(7). Sort z, -3, 2 in decreasing order.\nAnswer: z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 (base 10) to base 7\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 920 = 6082*z - 5792*z, f + 4*z - 76 = 0 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w + 5*c = 37629, -5*w - c - 47058 = 0. Let o = 4506 + w. Let x = 9405 + o. What is x rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r*x**4 - r*x**2 + 380*r*x + 2*r + 16315952*x**4 - 2*x**2 + 16*x - 16 wrt x.\nAnswer: -24*r*x + 391582848*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33ab2 (base 16) in base 8?\nAnswer: -635262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - r + 57 = 7*a, -4*a + r = -51. What is the remainder when 23 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 313204?\nAnswer: -313203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58177*x**6 + x**5 + x**4 + 2279754*x**2 wrt x?\nAnswer: -6981240*x**3 + 60*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 87*z**2 + 89*z - 126. Let s be (-3)\/15 + 1\/5. Suppose s*v + 9 = v. Calculate the remainder when d(28) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s - 4. Let k(i) = 89*i - 2. Let g(j) = 41*j - 1. Let o(u) = 13*g(u) - 6*k(u). Give h(x) - 6*o(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -81 (b) 4 (c) 12.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 15911*c - 970618. Calculate g(61).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*j - 164 = -220 - 469. Sort -5, 94, 2, j, 3 in increasing order.\nAnswer: -5, 2, 3, j, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/21 - 1896*j**4\/7 + 612544*j**3\/7 - 153656852*j**2\/21 - 38265210*j - 325906428\/7 = 0.\nAnswer: -3, -2, 181, 2487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045965 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.8 + -0.2. Let i = h + 11. Sort i, 0.3, -4 in ascending order.\nAnswer: -4, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 11.\nAnswer: 56\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/20 and 57\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 - 256. Let z(v) = -2*v**3 + 5*v**2 - 3*v - 1. Let g(y) = 3*y**3 - 6*y**2 + 4*y + 2. What is u*g(r) - 4*z(r)?\nAnswer: -r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -3.3 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1888)\/28 + 6\/14. Let k be (r\/(-5))\/((-9)\/(-45)). Suppose -k = -5*a + 43. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1.64\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -9, -2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/240 - 1312\/384?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5482526521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4667 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**10)\/y)**49 assuming y is positive.\nAnswer: y**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/(-33))\/(14*(-3)\/(-231)))\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2 + 6 - 21*u**2 as o + m*u + h*u**2 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -191239599.4 rounded to the nearest one million?\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*k - 119 = -93, 2*h - 4*k = 8 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 517.64 - 816.55. Let o = 280 + m. What is o rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/185536 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5240 divided by 1310.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 4 = 21*c + 2*q, -5*q = c - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 = -4*a, 0 = -4*h - 4. Suppose -a*v = -0*v + 250. Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15a873 (base 12) to base 9\nAnswer: -624856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.8. Let w = 190.5 - 191. Let t = 1388\/45 - 152\/5. What is the nearest to w in f, 1, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330431, -330430, -330429, -330428, -330427, -330426?\nAnswer: -330425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009499 to five dps.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -5, 4, 7, 5 in descending order.\nAnswer: 7, 5, 4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 35*c**2 + 288*c + 32. Calculate the remainder when 616 is divided by l(13).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 + 4*n - 5. Let i(v) = 3*v + 1. Let u(r) = -21. Let q(y) = i(y) + u(y). Let l be q(5). What is j(l)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 961 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111101 (base 2) to base 12.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 46*p - 2049. What is the remainder when x(55) is divided by 124?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**2 - 7*n**2 + 4*n**2 - 12*n**4 wrt n.\nAnswer: -288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9924605 to the nearest integer?\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s = 3*k + 12, -4*s + 3*k + 20 = 0. Suppose 2*w - 4*w = 2*n - s, -4*n + 1 = w. Does 4 divide n*(-73 - (5 + -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7 and 33.89971009?\nAnswer: 34.59971009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241902 by 3.\nAnswer: -80634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 176742.\nAnswer: 883710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**2 + 0*a + 2 + a**3 - 1\/30*a**5 - 1\/24*a**4. Let h(t) be the third derivative of k(t). Give h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one quarters of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + n + 24 + 25 = 0, -59 = -5*v - n. Let m = 16 + v. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -11. Suppose -6*g = -2*g - 1156. Let i be g\/(-85) - -2*1\/5. What is the nearest to 2 in 1\/5, j, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 2 + 2 + 2 - 2 - b**5 + (3*b**4 - 4*b**4 - b**4)*(0 + b + 0) - 4*b**5 + b**5 + 5*b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 1. Let q(g) = -g**2. Let y(u) = 2*d(u) - q(u). Suppose 2 = -3*k + t, k = -3*k - 5*t + 10. What is the units digit of y(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346172 is divided by 57666?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 892 - 539. Suppose -5*h + p = -542. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760.2743 nanograms to kilograms.\nAnswer: 0.0000000007602743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 698*j - 576*j - 469822. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/9 + (-32)\/(-42)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - 38b1d?\nAnswer: -38b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 7*i**2 + 11*i**2 + 3*i. Let b(c) = 5*c. What is z(b(f))?\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.50044 rounded to one dp?\nAnswer: -67.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4192 and 21746.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 638200 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - -2) + 0 - (-6139 - -6131)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 15. Let f(c) be the second derivative of c**4\/12 + 2*c**2 - c. Let o = -151 + 136. Give o*f(l) + 4*m(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 8*i**2 - 5*i + 9. What is j(8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 607777 not equal to 608829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -2476624270550.\nAnswer: 2476624270550.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-20))\/v)\/(v*v**24) assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*38555558.\nAnswer: -34700002.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*((r*(r**(6\/5)\/r)\/r)\/r)\/r*(r*r\/(r*(r**(8\/5)\/r)\/r*r))\/r*r*(r*(r**2*r)\/r)\/((r\/((r*r**3*r)\/r))\/r) assuming r is positive.\nAnswer: r**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3\/163, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awha when four letters picked without replacement from hawhsaahaajwhas?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 3*s - 1. Let n(v) = 12*v**3 + 2*v - 102. What is -n(j) - w(j)?\nAnswer: -13*j**3 + j + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (6 - 11) + 0 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79 + 984.7.\nAnswer: 905.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 73 - 73 + (0*z + 0*z + z)*(1 + 1 - 1) + 0*z - 4*z + 2*z + 132*z - 35*z - 812*z in the form v + r*z and give r.\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 715 = 4*m, -m = -3*m - 5*t + 347. Let r = m - 181. Which is the second smallest value? (a) -1 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216.3*2\nAnswer: -432.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 733, 738, 747, 760, 777, 798, 823?\n\"Answer: 2*h**2 - h + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 216, 218?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 2\/83225, 1, 0, -107?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwvwvwwvwwvwww. What is prob of sequence wvw?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 5:48 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Let j(u) = u**3 - 5*u**2 + 6*u + 2. Let a(z) = -z**2 + 1. Let f(s) = 3*a(s) + j(s). Let m be f(7). Put 4, m, p in ascending order.\nAnswer: m, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4. Let l be h(4). Is 2 a factor of 0 + 2 + (l - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.2 - 4.20000092. Round a to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 5, z: 3, t: 4, s: 3}. Give prob of picking 1 z and 1 s.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*m - 15. Let o(h) = -5 + 5*h + 2*h**2 + 6 + 0*h + 2. Let p be o(m). Solve -5*j + p = -4*y, -2*j = j - 5*y - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**8\/m)))**(4\/37)\/(m**(1\/4)*m**7) assuming m is positive.\nAnswer: m**(-961\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45a9 (base 13) in base 4?\nAnswer: -2120230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -30*z**3 + 5\/2*z**4 + 0 + 25\/4*z**5 - 3\/2*z**6 - 20*z**2 - 10*z. Determine f so that i(f) = 0.\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.1038 - 5.\nAnswer: -23.1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*q - r + 22, 59*r + 119 = 5*q + 117*r - 54*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**4 - 47*a**3*m**3 - 2*a**2 + 415*a*m**3 wrt a.\nAnswer: 96*a - 282*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 + 1\/5)*3850\/(-220) and 2\/4*4 + 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1011 - -10?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5 - 199*f**4 + 91420*f**3 + 1509568*f**2 = 0. Calculate f.\nAnswer: -412, -16, 0, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7 = -5. Let r = -52 - -55. Suppose 4*k + 0*k = -o, r*k + 3*o = -9. Solve -5*a - k + b = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) + 1)*3)**2 - -2*(-1 + sqrt(363)) - ((3 + (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363)*-2 - sqrt(363))))*-4)**2)*5.\nAnswer: -100510 - 9460*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 233\/(-3) + 1\/(-3). Let s = v + -64. Let i = -59 - s. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-8)\/k*k))\/k**(-7\/8)*(k\/k**12)**(-2\/13) assuming k is positive.\nAnswer: k**(1307\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**4 - 12*w**2 + 12*w**2 + (3*w - 3*w - 2 + w)*(-22*w**3 + 5*w**3 - 2*w**3) as r + b*w + c*w**2 + k*w**4 + p*w**3 and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (12 + -19) - -6 - 11) + -96 + -1.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 1. Let m(p) = 11*p. Let y(r) = 6*d(r) + m(r). What is y(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/3564801?\nAnswer: -5\/3564801","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3 + 5*w**2\/2 - 7*w - 1. Let q(f) = -2389 - 11*f + 2390 + 10*f - f**2. Let b be (-94)\/18 - (-10)\/45. Give b*q(g) - u(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 929 + -617. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -275*b**3*v**3 - 310*b**3*v**2 - 246*b**3 - 2535497*b**2*v**2 - 24*v**3 wrt b.\nAnswer: -1650*v**3 - 1860*v**2 - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 874 - 1180418*f + 872 - 2617 + 871 + 1180345*f.\nAnswer: -73*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -183. Let z = -100.107 + f. What is z rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 - 5?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371793, -371808, -371823, -371838?\nAnswer: -371853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 54 + 14 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12 + 18*n - 9\/2*n**3 - 3\/2*n**4 + 3*n**2 = 0. Calculate n.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 359*v - 2 - 345*v)*(-6*v + 3*v - 8*v).\nAnswer: -154*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 282131, 564267, 846405, 1128545, 1410687, 1692831?\n\"Answer: t**2 + 282133*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1506895569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*z + 12662 = 117*z + 137*z - 1924 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 - 9*n - 1. Let i = 44 + -41. Suppose u = z + i*u + 1, 0 = -5*z + 4*u + 51. List the prime factors of j(z).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1382 or -8287\/6?\nAnswer: -1382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4 + 9. Let t be (-2)\/4 + w\/(-2). Find the third derivative of t*a**2 + 0*a**2 + 10*a**6 + 8*a**2 wrt a.\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -79541*b - 636387. Calculate o(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awawwaawaaaaaw. Give prob of sequence waaa.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.218658 litres?\nAnswer: 218.658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + 75b63?\nAnswer: 75b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5 + 529516*f**4 - 46656121926*f**3 + 1361455585221556*f**2 + 585665320182941464*f + 584303817941068464 = 0.\nAnswer: -423, -1, 88394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - v**2 + 2*v + 3. Let y be a(-2). Suppose -54 = 2*f - y*f. Solve -f = -2*b + 4*l, 6 = -0*b - b - l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.42 at most as big as -27\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -43. Let o(t) = 186*t + 3. Let a be o(3). Suppose -a = -3*p - 2*p - 3*g, -2*p + 2*g = -234. Calculate the remainder when p is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + m - 1. Let p(y) be the third derivative of 3*y**5\/20 + y**4\/6 - 2*y**3\/3 + 37*y**2. Give -26*l(t) + 6*p(t).\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 207.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 46011 - 45951 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 92 + 36. Let x(u) = -u**2 - 6*u + 13. Let p be x(w). Let r(z) = -z - 4. Calculate r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4296021854 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 divided by -125?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350146426?\nAnswer: 2, 7, 31, 806789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {l: 3, s: 5, m: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 152*z**2 - 10*z + 14. Let d be h(-8). Suppose m + 2477 = d. Suppose -5*p + m = -0*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 30*t + 25. Let u be r(-1). Calculate the remainder when 44 is divided by (-45)\/u - 5 - -30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:26 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41685683287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23417 + 24329. Calculate the greatest common divisor of 432 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2\/9, 12.1846, 7\/4, 5.\nAnswer: -4, 0, 2\/9, 7\/4, 5, 12.1846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 - 2*b**3)*(6*b**2 + 5*b**2 - 7*b**2) + (7*b**4 - 3*b**4 - 5*b**4)*(-3 + 3 + b).\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15744122 to the nearest integer?\nAnswer: 3968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/121 and 30\/27765991.\nAnswer: 27765991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6389173.7623897 and -6.\nAnswer: -6389179.7623897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 623?\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2. Let r(t) be the second derivative of -t**7\/1260 + 19*t**4\/12 + 2*t. Let m(k) be the third derivative of r(k). Determine m(f(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 18, 27, 36, 45, 54?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/13 + 356*u**3\/13 + 352*u**2\/13 - 356*u\/13 - 354\/13 = 0. What is u?\nAnswer: -177, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 38 = 5*g, 93*t + 98*t - 28 - 11 = -5*g + 193*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (25 - 17).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 13*h**2 + 28*h - 20. Let b be g(11). Suppose -7*f = 18 - b. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c - 1. Let g be u(1). Suppose g*r + 5 = 2*r. Let m = -4 - r. What is the biggest value in 4, m, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5975, -11954, -17931, -23906?\n\"Answer: g**2 - 5982*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 0.9. Let r = o + 1. Let w = -0.56 + 0.06. What is the nearest to 0.1 in w, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*i + 17 + 4, 0 = -4*w + 4*i - 44. Let q = 6 + w. Let b = 0 - q. Calculate the greatest common divisor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -59.4652 and 2.\nAnswer: -57.4652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2672063 is divided by 1434.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3*r**2 - 67*m**2*r**2 + 4*m**2*r + m*r**2 - 4*m*r - 59*m wrt m.\nAnswer: 6*m*r**2 - 134*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0737558226 to five dps.\nAnswer: 0.07376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/60 - m**4\/24 - 7*m**3\/3 + 2*m**2. Let q be f(-10). Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/13 + 549184*v**2\/13 + 37704227226*v\/13 + 527751546588\/13 = 0. Calculate v.\nAnswer: -137289, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.319186 - 0.3?\nAnswer: -1.619186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 31. Suppose k*h - 5*o - 475 = 390, -h = o - 443. Suppose 220 = -2*b - 3*a + a, 4*a - h = 4*b. Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 1248.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 10*o**2 - 2*o + 24. Let w be g(10). Solve w = 5*z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 527239.4 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h - 10. Let j be w(3). List the prime factors of 277 + (20\/(-200) - j\/(-20)).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -436, -524, -610, -694, -776, -856?\n\"Answer: l**2 - 91*l - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 16*h - 79. Let g(f) = -f**2 - 7*f + 39. Let m(b) = 13*g(b) + 6*s(b). What are the prime factors of m(7)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 67.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.08 (b) 1.7 (c) -2\/3 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 12*z + 14. Let n be s(13). Let g = -6 + n. Let v be 27\/14 + g\/(-49). Which is the third smallest value? (a) v (b) 0.1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.049.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 times -0.113?\nAnswer: 30.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 70581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -2*w - 35. Suppose 3*o + o + 213 = 5*d, d = -4*o + w. What is the remainder when d is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + 1 + 0 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913105 is divided by 1256?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-18) + 493\/261. Let o be ((-28)\/(-2))\/c - 2. Solve -o = -2*w + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -963184043 take away -7?\nAnswer: -963184036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/3798, -2, 13\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 28 + 18 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 10023*d + 10023*d + 4 - 8 + 4.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 - 3*m**2 - 3*m + 3. Let c(u) = -u**3 - 7*u**2 + 1. Let a be c(-7). Let b(l) = -l**3 - l**2 - l + 1. Give a*o(r) - 3*b(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzfbm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0*o + 0*o)*(-115 + 115 - 22*o)*(o + 0*o + o)*(-5 + 3 + 1)*(2 - 5 + 2) as c*o**2 + x + d*o + u*o**3 and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1011*q + 456*q - 62758 = 419*q - 26078 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 5*s**2 - 9*s + 2. Let x(v) = -v**3 - 6*v**2 - 5*v + 7. Let a be x(-5). Is k(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*z - 11*z - 128*z - 19*z to q*z + w and give q.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 542351754 and 542351756 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 145860.\nAnswer: 1021020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n**2 + 5*n**2 - 2*n**2)*(0*n + 5*n - 2*n) + 2*n**3 + 0*n**3 + 0*n**3)*(3*n + 2*n - 6*n).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8713 + -5 + 17 + -6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600\/1760*297\/162.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81119900159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 12*v**2 + 20*v - 14. What are the prime factors of j(-8)?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/304)\/(9\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 + 2*i + 7. Let g(v) = -50*v**3 - 2*v**2 + 5230*v + 21. Let p(q) = -2*g(q) + 6*s(q). Find the second derivative of p(m) wrt m.\nAnswer: 564*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 8*f**2 - 17*f - 28. Calculate the lowest common multiple of o(-6) and 1150.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 42. What is the smallest value in 5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 5666535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100 - -100011?\nAnswer: 10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587218069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.035 + -0.265. Let s = -0.161 - -0.461. What is the second biggest value in 1\/7, c, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/11 + 29\/6*1. Let x be 1 + 14\/(-4) + 1. What is the smallest value in 4, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 52 = 3*u. Let x = 3 - 32. Let p = u - x. Calculate the greatest common factor of 88 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1568837 and 8558.\nAnswer: 34514414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -70*p + 989. Give u(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047222\/67 or -15630?\nAnswer: -1047222\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (18 - 15 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1) + -1 + 1. Let v be (-6)\/96*-30 + -2. Which is the smallest value? (a) o (b) 6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2704*l**2 + 7*l + 14*l - 21*l - 4245*l**2.\nAnswer: -6949*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32622 * 0.09\nAnswer: -2935.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**4 + 8*m**3 - 2*m - 2*m**4 - 10*m**3 as l + v*m**4 + k*m + h*m**2 + i*m**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 6 = p, 8 = -4*p + 5*s + 34 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 - -13 - (-5 + 5). Suppose 48*p = 53*p - 170. Let o(h) = w - p + 7 - h + 16. What is o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00720721 + 397059\nAnswer: 397059.00720721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/36 + 0)\/(((-66)\/(-20))\/(-33))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 - 904*l\/5 + 51076\/5.\nAnswer: 4*(l - 113)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 329*y**2. Let b be i(-1). Let h = b - -86. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 200. Let j be ((-75)\/d - 2\/(-4)) + 3. Let l be (-6)\/(-3) + -1*2. Solve l = -j*b + 3*b - m + 5, -2*b = -4*m + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 = -5*q, -4*m + 647*q - 644*q = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 51071754.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c - c + 2*c)*(-3 + c + 3 + (2*c - 2*c + 4*c)*(4 - 2 + 1) + (0 + 3 - 2)*(c - 6*c + 3*c))*(4*c - c - 2*c).\nAnswer: -88*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14238 and 35?\nAnswer: 71190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwiw when four letters picked without replacement from wwajbii?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n - 3*i, -2*n - n = 3*i - 9. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*k**3 + k**2 + 740*k**3 + 185*k**3 - 3*k**2 + 148*k**3.\nAnswer: 966*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 471*n**2 + 14*n. Let s(l) = 94*l**2 + 3*l. Let a(v) = 14*s(v) - 3*t(v). Let h(f) = -50*f**2. Calculate h(a(m)).\nAnswer: -470450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pifiixiifiif. What is prob of sequence if?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 3*q - 26 + 2*q**3)*(-7 - 12*q**2 + 7).\nAnswer: -24*q**5 + 36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2. Let q(m) = -33*m + 0 + 9*m + 5*m + 1 + 11*m. What is q(v(g))?\nAnswer: -8*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/6 - 53*b**3\/6 - 293*b**2\/2 + 36*b. Let k(p) = p**2 + 26*p + 146. Let t(h) = -5*k(h) - 2*s(h). What is j in t(j) = 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 6*t + 95.\nAnswer: -(t - 5)*(5*t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9979584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80580786 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 - (0 + -3 + 4)). Suppose 7*c = 3*c + 2*f + 118, 4*f - 12 = q. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587801 rounded to the nearest 1000?\nAnswer: 588000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 35, 39, 43?\n\"Answer: 4*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -982 + 6339. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.1, -3\/8, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 + 5*o - 6. Let i(b) = -b**2 - b + 1. Suppose 5*p - 18 = 2*p. Let s be 5\/(-5) - p\/(-3). Calculate s*x(m) + 5*i(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 506620 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 3, 7, 0.004, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585, 1252, 2007, 2862, 3829, 4920, 6147, 7522?\nAnswer: 9057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 559.\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7938 + -5562. Let q(i) = i**3 + 7*i**2 - 12*i - 29. Let h be q(-8). Suppose -4*u = -3*r - u + 2400, -h*r - 5*u + t = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v + 1. Let c be d(-2). Let f = 0 - c. Let y be f + -1*(-3)\/(-3). Are 2\/5 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3964, -0.07, 3, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 3:03 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574970 is divided by 41435?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87509 is divided by 7271?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22412 - 69412. What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.96774 + 0.03226. What is the nearest to 1 in d, 4, -4, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) - (sqrt(1573) + 2)*2 - (6*sqrt(1573)*-3 + sqrt(1573))) + 2)*-3*5)**2.\nAnswer: -158400*sqrt(13) + 90605700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 + -2)\/(2*(-201)\/6). Let v = f + 284\/1005. Which is the closest to 14? (a) v (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/4 + 225\/25. Which is the closest to -2? (a) 3\/4 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*-5*((sqrt(847) + 0 - sqrt(847)) + -1 - sqrt(847)*-1*-6)*-6)**2*1.\nAnswer: 4276800*sqrt(7) + 987973205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15742*i + 31*i + 3099*i - 1612*i.\nAnswer: 17260*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 98?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 - 185. Does 55 divide 5\/((13\/v)\/(-13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(162)*1 + 5 - sqrt(162)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 7) + (-1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 82 + 12)*(-357*u + 165*u - 240*u - 546*u) to the form p*u + c and give p.\nAnswer: 67482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.72 + 263.22. Let q = r - 258. Let k = -0.1 - -0.27. Which is the third smallest value? (a) q (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, f: 4, u: 7}. What is prob of picking 2 q and 1 u?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651180758?\nAnswer: 2, 59, 1973, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -699063 and 21549025.\nAnswer: 20849962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 1. Let h(w) = -2*w - 5. Determine -h(t) + 5*n(t).\nAnswer: 5*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2912*0.4.\nAnswer: 0.11648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 - x + 1. Let g(v) = 4*v**2 + 4*v - 3. Let d(u) = 2*g(u) + 6*t(u). Let r(z) = z**3 - z**2. What is d(i) + 2*r(i)?\nAnswer: -4*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 2*d**2 + 0*d**2)*(3 - 2 + 1)*(-d**2 + 4*d**2 - 2*d**2 + (0*d + d - 3*d)*(4*d - 4*d + 2*d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) 14 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Sort -4, -1, p in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 3, y: 1}. What is prob of picking 1 k and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*d**2 - 2*d + 6 - 8 in the form u*d + m*d**2 + v and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348574 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.022 + -0.222. Sort 1, -0.4, 4, t in increasing order.\nAnswer: -0.4, t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15016259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1854*f + 80693 = 466*f + 1927*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 134, 170, 170, 122, 14?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/27)\/(3 - (-65)\/(-15)) - 14\/72.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0586 + 0.045. Round k to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -107, -23, -32375?\nAnswer: -32375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11511 and 6?\nAnswer: 23022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 1. Let n(m) = m. Let i(k) = 5*n(k) + s(k). Let d be ((-9)\/(-18))\/((-1)\/(-8)). What is the units digit of i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414678505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4975\/3 or 1659?\nAnswer: 1659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 187531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h**2 + 1)*(0 - 2 + 0)*(843 + 54 + 800).\nAnswer: -6788*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122 or 3\/4?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/((0 - -2)*-1). Let y(d) = -5*d + d**3 + 1 - 2*d**2 + 0*d**3 - 2*d**2. What is y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/11 - 27\/((-8613)\/841). Suppose 0*z + 0 - 1\/4*z**i - 7\/4*z**2 = 0. Calculate z.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-3 + 2)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399.43349 seconds in weeks?\nAnswer: 0.002313878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8130 or -56901\/7?\nAnswer: -56901\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 2*u + 3*u. Let y = 523 + -519. Let x(z) = -9*z**2 - 2*z**2 + 5*z**2 + 6*z**2 + y*z**2. Give x(c(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -785\/3*d**3 + 684030 + 5\/6*d**4 - 237070*d + 132305\/6*d**2 = 0.\nAnswer: 6, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g - 4, -3*c + 20 = 5*g. Suppose -5*u + c = -2*u. Suppose 4*n + 4*z = 88, -3*n + u*n - 3*z - 59 = 0. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421124 (base 9) to base 3.\nAnswer: 110201010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2. Let d(o) = -11 + 5*o + 23 - 12. Calculate a(d(c)).\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 15 = -7*z. Let b be 104 + (-1 - 3) - z. Let o = -27 + b. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 <= 40991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:16 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 112.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(8) - -2*(0 + sqrt(2))**2) + -5.\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - ((-29)\/2)\/((-20)\/(-1320))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 10*k**2 - 10*k + 12. What is h(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j - 11 + 70 = -12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 95*u**2 + 63*u + 917. What is f(-48)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1363*w + 681*w - 21*w**2 + 684*w)*(-3 - 2 + 2).\nAnswer: 63*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 + 54813*v - 1001488323\/2.\nAnswer: -3*(v - 18271)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 1. Let j = 0 + h. Let u be (-2 + 1)*(0 + 0). Is j less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7393026777.\nAnswer: 3, 103, 139, 172127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/((-7)\/((-7)\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321 = -36*q - 543 + 230 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15*j + j**2 - 11*j - 4 - 6*j**2. Let b(i) = 6*i**2 - 5*i + 5. What is -4*b(n) - 5*l(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*b**3 - 2830*b**2 + 2836*b - 8 = 0 for b.\nAnswer: 2\/707, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + 1. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.44 + -17. Let w = k + -2.5. Let y = -0.04 + w. Sort y, 1.2, -3\/4 in descending order.\nAnswer: 1.2, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - m + 4*m)*(7 - 7 - 4*m) to the form z + c*m**2 + t*m and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 - 7*v - 13. Suppose -o + d = -7, -3*o = -0*o - d - 17. What is h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148323810233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 5732485*y**2 + 1642911559080*y + 90377477348400.\nAnswer: 5*(y - 573276)**2*(y + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.198+-0.5\nAnswer: -0.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (111*3\/3)\/((-21)\/9). Let w = -48 - g. Which is the nearest to 0.1? (a) -0.2 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.72 (b) -0.2 (c) -18203 (d) 0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.811 + -89.811. Which is the biggest value? (a) q (b) -4\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (3 + (-276)\/5). Let x = -53 + w. Let l = 0.8 + -1. Which is the nearest to l? (a) -1 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 21*p**4 + 2*p**3 + 16*p**4 - p**4 - 2*p**2 + 2*p**2 + (-p**3 + 5*p**3 - 2*p**3)*(3*p + 0*p - 4*p).\nAnswer: -8*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2807 - 43*r - 2542*r**2 + 2801 + 2799 + 158*r - 8408 wrt r.\nAnswer: -5084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1167899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(9\/(-4) + 3). Let z(a) = 233*a**3 - 5*a**2 + 3*a + 4. Let r be z(h). Round r to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 - (6 + -15 + (7 + 1 - 10) + 5)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/13442803 and -27\/8554511.\nAnswer: 94099621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -465 (base 10) to base 4\nAnswer: -13101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7 + 8 + 36*v + 2 - 4. What is the remainder when 67 is divided by d(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9 + 5*m + 0*m + 10205*m**2 - 1. Let v be n(-7). What is v rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*d**3 - 3*d + 76?\nAnswer: -150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11805 - 11796. Which is the nearest to q? (a) 1\/5 (b) -49 (c) -1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464590 + 464590 - 567*i.\nAnswer: -567*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.482 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - 2245\/(-55)) + -10. Is g greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 206 = -772. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8195.261 decades to years.\nAnswer: 81952.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/10))\/a**(1\/10))\/(a**(-16\/3)\/(a\/(a\/a**(-3)))) assuming a is positive.\nAnswer: a**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 15*l**2 + 15*l + 17. Let w be z(-14). Solve -4*g - 4 = -2*b, -b + 1 + 6 = w*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23288, -46593, -69898?\nAnswer: -93203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/560 and 121\/80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 617385 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k + 4*m, 2*k + m - 3 - 1 = 0. Suppose -9*r = -k*r + 25. Put r, -3, -1 in descending order.\nAnswer: -1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from grfgrriiir?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(891) - 5*(5 + sqrt(891))) + (-2 + ((sqrt(891)*-2)**2 - sqrt(891)) - sqrt(891)).\nAnswer: -54*sqrt(11) + 3532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dat when three letters picked without replacement from baltdkbk.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 15 = 4*p + 1, 0 = -2*o + p + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 21*z**2 - z + 20. What is p(21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 8*j**2 + 47*j**4 - 23*j**4 - 25*j**4 to g*j**3 + p + u*j + w*j**4 + f*j**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 15 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 4, d: 6, h: 4}. What is prob of picking 1 d and 1 v?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 86\/(-60) - (-15)\/10. Which is the second smallest value? (a) -3 (b) w (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-13)\/((-1755)\/(-18)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/27)\/(1079\/117 + -9)*-9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48.09821 in 5\/4, 0, 0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6781?\nAnswer: 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12715.31 - 4.41\nAnswer: 12710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 6*y - 4. Let o be j(-5). Let s be (-3)\/(o\/(-3))*1. Put -3, 4, s in descending order.\nAnswer: 4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + g = -519, -5*w + 2*g - 4*g = -522. Calculate the greatest common factor of w and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.54 * 549\nAnswer: -845.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143322 - 4?\nAnswer: 143313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19 - (5 + 4\/(-4)). Suppose b = 16*n - 11*n. Suppose 2*l + l = n*t + 54, 0 = 5*l - 3*t - 86. What is the lowest common multiple of 8 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 4*w + 4, -4 = 2*i + 2*w. Let p be (-237)\/(-6) - (-1)\/i. Calculate the highest common divisor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3175*v - 12675*v + 3167*v + 3177*v + 3180*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*b = 8*b - 22, 3*b = 4*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4777, -5, -55, 3, 1.\nAnswer: -55, -5, 1, 3, 4777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 8, -6, 5 in increasing order.\nAnswer: -6, -4, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(-1)*m*m*m)*m)**27\/(m\/((m\/((m**4*m)\/m))\/m)*m**(-1)\/m))\/((m**(-7)*m**3\/m*m)\/(m**(-2\/5)\/(m**(3\/7)*m))) assuming m is positive.\nAnswer: m**(-29\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.5 (b) -4 (c) 4\/13 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9571)\/3941)\/((-2)\/28).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -5, -0.6, -361, -2\/3, 1\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001275762 to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5399766 and 101\/2399896?\nAnswer: 21599064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-114)\/12)\/((-2)\/12). What is the second derivative of -2*l**3 + h*l + 46*l - 19*l - 20*l - 9*l**2 wrt l?\nAnswer: -12*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 + 90*b**2 - b + 7*b - 10*b + 2*b.\nAnswer: 77*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**2\/2 - 3*r + 14. Let z be s(5). Suppose 4*i + z*f - 50 = 0, -2*f + 1 = -4*i + 55. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(4*i + 0*i - 2*i + (-i - i + 4*i)*(0 - 4 + 5) + 4 - i - 4 - 3 + 3 + 2*i - 3*i + 3*i + i - 2 + 2 - i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2. Let h(r) be the third derivative of r**5\/60 + 9*r**2. Calculate w(h(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 + 6 = 0. Suppose -3*f - 20 = -5*f + p*u, -11 = -2*f + u. Suppose f*s = -3 + 39. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 plus 0.2?\nAnswer: -457.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*16\/6. Suppose -1 = l - 3*g + 6*g, 3*g - 9 = -3*l. Suppose -18 = -l*n - n. Solve -n - 1 = -y*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31304810*l**3 + l**2 - 31481310*l wrt l?\nAnswer: -187828860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126215174?\nAnswer: 2, 3, 7, 29, 924643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0.7, 7, -4, 12, -0.08?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5558 + 5508. Does 5 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.07, -6, 29, 251, -1, 0 in increasing order.\nAnswer: -6, -1, 0, 0.07, 1\/4, 29, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**3 + 15*i**2 + 10*i - 4. Let w be x(7). What is w rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -633 + 237*l**2 - 1003*l**3 - 491*l**2 + 254*l**2 + 334*l**3 wrt l?\nAnswer: -2007*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/60 - 13*o**4\/24 + 16*o**3 + 12*o**2. Differentiate t(q) with respect to q.\nAnswer: 2*q - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 11) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1675 and 62\/335.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -1\/8*x**4 + x**2 + 0*x**7 + 0*x**5 + 0*x + 0*x**3 + 0 + 1\/112*x**8 + 0*x**6. Find the second derivative of i(p) wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105383 and 44387.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 35*j**2 - j**3 + 2 + j**4 - 57*j + 31*j + 28*j to the form t*j**4 + z + h*j**2 + f*j + p*j**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z + 2. Let h(d) = -8*d**2 + 9*d - 1. Let s(y) = -2*y**2 - 1. Let b(u) = h(u) - 3*s(u). Let k(x) = -x**2 + 4*x + 1. Determine z*b(r) - 9*k(r).\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42290695 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 77*o = -73*o - 39 - 67, 2*t - 105 = -3*o for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/17? (a) 3 (b) -3\/8 (c) -0.059214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106003850 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/72 and 121\/804.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = -5. Suppose 3*i - c = 5. What is the second derivative of 3*a**4 + a**3 - i*a - a**3 wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 7 = 4*s, -25*c = -20*c + s + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19263 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2593406\/467 = 5552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/8 and -53\/3064264.\nAnswer: 3064264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -82, -1\/4, -0.446?\nAnswer: -0.446","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16906 - 11626. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 14. Let m(j) = 9*j**2 + j + 3. Let u be m(-2). Let y = -29 + u. Calculate the remainder when z is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1109.5 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + d - 2*d)*(-18 + 28 + 23).\nAnswer: -198*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (38694\/(-21))\/(61\/(-427)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1121 + -12?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-187)\/55 + 8\/20. Calculate the common denominator of (-1)\/(-9)*f + 97\/114 and 59\/5.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 262625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -100, 3 in increasing order.\nAnswer: -100, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -902566 or -902575?\nAnswer: -902575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-424)\/60 + 4\/6 + -1*(-10)\/2\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k\/(k*k**(3\/8)))*k**(4\/5) assuming k is positive.\nAnswer: k**(47\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iai when three letters picked without replacement from iiyiiyaaiaiiairaar.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = d. Let v be ((-10)\/d - 1) + 6\/(-9). Solve v*z + 15 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277*v + 20*v - 43*v)*(6*v**4 - 8*v**4 - 9*v**4).\nAnswer: -2794*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13337759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, j: 9}. Give prob of sequence hhjh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10299970 divided by 14507.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2401363 (base 7) to base 6\nAnswer: 10255021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 + 222*x**2 - 3200*x + 2976 = 0. What is x?\nAnswer: -124, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1331) + 1)**2 - (sqrt(1331) + sqrt(1331) + 1 + -5)) + -2 - (-3 + -3*(sqrt(396) + 1)**2*6).\nAnswer: 216*sqrt(11) + 8481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-9 - (-5 - -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 9 - 3 - 8*i - 16.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2079, 2102, 2139, 2196, 2279?\nAnswer: 2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/19 or 7537?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3004 by 3.\nAnswer: 3004\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69108 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhqqqwqca. Give prob of sequence whcq.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k - 75. Calculate the remainder when (-6)\/k + (-471)\/(-15) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98, -110, -154, -248, -410, -658, -1010?\n\"Answer: -3*g**3 + 2*g**2 + 3*g - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59888 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 3*h**2 - 4*h**2)*(2 - 3*h - 2).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -653*(2\/4)\/(1\/4). Let j = m + 3973\/3. What is the common denominator of j and ((-4)\/6)\/(14\/(-36))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 7 + 34 = 3*v, -20 = -2*n + 15*v - 11*v for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276 divided by -638?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11921, 47655, 107211, 190589, 297789?\nAnswer: 428811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 2*y + 12 - 9 + y**2 - 15. Let s be t(7). Suppose -5*k + s = -2*k. Solve -k*u - 4 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -0.05.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020200120 (base 4) to base 3.\nAnswer: -1001101222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 32*l**4 + 51 + (3*l**3 - 5*l**3 + 4*l**3)*(-887 - 922 - 4*l + 1709) in the form p*l**2 + g*l + i + w*l**3 + k*l**4 and give w.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, 363, -1, -3, 14, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5 - c**4\/12 + c**3\/6 + 3*c**2\/2 + 3571*c. Let t(j) = 21*j**3 + j**2 - 2. Determine 2*m(b) + 3*t(b).\nAnswer: 23*b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4.5. Let y be (-64)\/(-2970)*(-78)\/4. Let q = 2\/99 + y. What is the biggest value in p, q, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3949 is divided by 1973.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let n = 2 - z. Suppose -110 = -5*v - b, 7*v = 2*v - 5*b + 110. Calculate the least common multiple of n and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 226194752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 24 = 4*l - 4*w, l = 4*w - 9. Suppose q - l*n - 3 = 0, -5*q - 4*n = -q + 4. Which is smaller: q or -2\/585?\nAnswer: -2\/585","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 10}. What is prob of sequence bib?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.8 - -18.551. Let l = t - 0.251. What is the closest to 3\/16 in l, -2\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-7) + 14\/(-49). Let m be (3 + p)*76 + -3. Suppose m - 59 = 3*n. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -65, -107, -167, -245?\n\"Answer: -9*h**2 + 3*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698608 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) -803 (c) -28 (d) 4\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566945 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4449156554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 703221?\nAnswer: 1406442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.15, 1\/90, 0, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 2*m + 17*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 0*m - 1\/3*m**3 - 4\/3*m**2 + 0 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 1 - 4*y + 4*y + 10*y to m*y + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/3, -1, -19, 5\/44, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*g - 4*x = 536*g - 34, -2 = -3*g - x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 + (-15211)\/(-159))\/((-2)\/(-4) - 1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 - 3. Suppose -5*n + 12 = -4*n. Suppose -18*c - n = -14*c. Is i(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 103 = 23. Suppose 2*a = 4*d + b, -3*a + 2*d = -a - 8. Suppose 2 - 4 = -o. Is a < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 261257559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17000 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 42.0315, -5, -2\/5, 0.1, 4\/23 in ascending order.\nAnswer: -5, -2\/5, 0.1, 4\/23, 42.0315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + 5*a**2 - 2*a**2)*((4 - 4 + a)*(3 - 4 - 1) - 41 + 41 + 11*a) to the form c*a**3 + u + i*a + k*a**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 - 9258*u**2 - 392277*u + 821610 = 0.\nAnswer: -3043, -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441396 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - 13*n**4\/12 - 11*n**2 + 1778*n. Give o(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:23 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260780430 to the power of 1\/2, to the nearest integer?\nAnswer: 16149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0*a**4 - 6 + 0*a**3 - 20*a**2 + 87\/20*a**5 + a. Differentiate n(r) wrt r.\nAnswer: 261*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22827420 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeey. What is prob of sequence eeye?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18249209.\nAnswer: 11, 157, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5.5. Let z = 4 - 6. What is the second smallest value in 5, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**2 - 54054670 + 3*y + 54054670 as r + w*y + i*y**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.6 times 0.5?\nAnswer: -72.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*5\/(35\/14). What is the derivative of -c*n**2 + 148*n - 294*n - 3 + 150*n wrt n?\nAnswer: -48*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 + 1297\/8. Let x = -0.888 - -0.388. Which is the biggest value? (a) x (b) z (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 497 = -4*u - 141, 0 = 4*t - 2*u - 834. What is the highest common divisor of 1339 and t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**2 + 1\/6*y**4 - 1\/60*y**5 + y**3 + 8 + 0*y. Suppose 5 = 3*v - 13. Let t(x) = -x**2 + 4*x + 5. What is v*t(r) - 5*s(r)?\nAnswer: -r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22176817?\nAnswer: 13, 397, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3254 + 0.2?\nAnswer: -3253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6608650*o**5 - 4428*o**2 - 335*o - 5 wrt o.\nAnswer: 396519000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124.84*-25.\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/6 + 151*w**4\/3 + 29983*w**3\/6 + 155805*w**2 - 733482*w - 884340 = 0. What is w?\nAnswer: -102, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 293.40741 months?\nAnswer: 24.4506175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1277 - -1398. Let q(l) = 118*l + 3. Calculate the lowest common multiple of q(1) and y.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2001 and 35746531.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.162632ml in litres?\nAnswer: 0.009162632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -202 + 9823*n + 621 - 419 in the form k*n + c and give k.\nAnswer: 9823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 4 + 5*m - m + 1 - 3*m. Give o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Let g(c) = -c**2 + 4*c - 4. Let l(k) = g(k) + 4*m(k). Suppose y - 70 = -13*y. Let p(z) = y*z**2 + 9*z**2 - 13*z**2. What is l(p(s))?\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 98519912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 77 - 9*m**3 - 8*m**3 + 4*m**2 + 10*m**3 as i*m + h*m**3 + c + n*m**2 and give c.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 5*r**3 + 2*r**2 + 9 + 1 + 2*r**4 in the form u*r**4 + d*r**2 + c + h*r**3 + l*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.04 - -0.04. Let k = -3 + -1. Let f = k + 4.2. Put f, u, -0.5 in ascending order.\nAnswer: u, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -660552 or -660551?\nAnswer: -660552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139 and 241999?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17950305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 - b - 4. Let a be z(2). Suppose 0 = 2*n - u + 4 - 1, -3*n = 4*u + a. What is the units digit of 0\/3 - (n + -22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*a + 19, 4*u + 5*a - 2 - 31 = 0. Solve -55*n**3 - 21*n**4 + 36*n**4 - 4*n**2 - 16*n**u = 0.\nAnswer: -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + ((3 + (sqrt(1584) + -1*sqrt(1584) + sqrt(1584) - sqrt(1584)))**2 - ((-3 + (sqrt(1584) + 2 - sqrt(1584)))**2 - sqrt(1584))).\nAnswer: 15 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/2)*n*n*n*n**(-1\/4)*n)**(-1\/42) assuming n is positive.\nAnswer: n**(-17\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*k**3 - 67*k**3 - 1 + 1 - 32*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9705 + 9709. What is the third smallest value in 3\/4, -2\/13, f, -2\/7, 178?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5\/(-35) + 158*10\/35 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6+-22\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/3 - 3*g. Let l(s) be the first derivative of -s**2 + 11. Calculate v(l(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 42*f**3 - 431*f wrt f?\nAnswer: 20*f**3 + 252*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13\/6, -5, 255, 1\/4.\nAnswer: -5, -1, 1\/4, 13\/6, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9739 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -43*s**2. Let g(n) be the second derivative of n**3\/3 - n + 18. Give t(g(y)).\nAnswer: -172*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 3. Let f be 32\/6 - 1\/3. Let a be h(f). Suppose a*m - 28 - 7 = -5*p, 5*m - 4*p - 5 = 0. Calculate the greatest common factor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:43 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - p = -4*p - 3, 2*p = 0. Suppose -405 = -o*g - 4*j, -g + 3*j = 3*g - 565. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19073, 38130, 57187, 76244, 95301?\nAnswer: 114358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.777 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1955165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -355 - -380. Calculate the greatest common factor of 1325 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9915 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170112 by -3.\nAnswer: 56704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g**2 + 39*g**3 - 15*g**2)*(0*g + 2*g - 4*g) + (-3*g**2 - g**2 + 3*g**2)*(-6*g**2 + 0*g**2 + 4*g**2).\nAnswer: -76*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 - 0) - -9. Let h(j) = j**3 + j**2 + j + 9. Let x be h(0). Suppose 3*n + 3 - x = 0. Calculate the greatest common factor of m and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - q + 33 - 8 + 3.\nAnswer: -q + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 6. Let w be g(0). Let o(i) be the third derivative of 1\/9*i**3 + 0*i - 1\/315*i**7 + 0 + 1\/18*i**4 - i**2 + 0*i**5 - 1\/90*i**w. Factor o(f).\nAnswer: -2*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*k + 86*k - 88. Which is the biggest value? (a) k (b) 16 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/(-21) + (200\/(-105) - (0 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5958643 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*y - 20 = 0, 5*i - 16 = 4*y + 9. Let p(h) = h**3 - h + 1. Let w(l) = 7*l**3 - 5*l + 4. Let r = -55 + 51. Give i*w(f) + r*p(f).\nAnswer: 3*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:18 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(63)*1 + 1)**2*-2 - 6*((-1 + sqrt(847))**2 + 4 + sqrt(847) - 2*sqrt(847)*4).\nAnswer: -5236 + 582*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -322*q**5\/5 - q**4\/4 - 3025*q - 3576. What is the derivative of m(s) wrt s?\nAnswer: -1288*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 422*d**2 - 43.\nAnswer: 422*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 24*n. Let t(r) = 2498999*r. Calculate t(s(w)).\nAnswer: 59975976*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.38621 + 17.38721. Let c = 0.001 - u. Let m = c - -16.9. Does -1.2 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6371191\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 734\/25? (a) -0.3 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21382002?\nAnswer: 2, 3, 31, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 38. What is the remainder when 314 is divided by w(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71665 (base 9) in base 15?\nAnswer: debb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76931276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) -109716 (c) 13 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4576 = 5*j, -3*j - 1349 = -2*y + 941. Suppose -661 = 4*l + 2*f - 1807, 4*l - 5*f - y = 0. Calculate the greatest common factor of l and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -142800, -142859, -142918, -142977, -143036?\n\"Answer: -59*w - 142741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-3) - 1\/(-3). Suppose -2*a = -a - d. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 697*p**4\/24 + p**3 + 11*p**2. Is f(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/875130 and 133\/186.\nAnswer: 875130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 - 3537*q**4 + 193053*q**3 - 3471579*q**2 + 25988850*q - 70053984 = 0 for q.\nAnswer: -1232, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89054 and 1631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/60 + (-92)\/(-230)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - -0.01. Let q = p + 0.01. Which is bigger: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -9*j**4\/4 + 13*j**2\/2 + 5*j - 111. Let g(q) = -5*q**3 + 6*q + 3. What is -3*c(l) + 5*g(l)?\nAnswer: 2*l**3 - 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142.7 - -134. Let q = -283778.500178 - -283769.8. Let m = q - t. What is m rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547 + -1723. Which is smaller: 2\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/(-1147)*2*5\/30?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64791765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -712 and 0.02215.\nAnswer: -15.7708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/49, 0, 100393\/3?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 668979391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 13*s - 32. Solve -s*i + 6 = -17*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 917846788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3878 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/12 + (-18)\/24. Let v(x) = x**3 + 2*x**2 - 3*x. Let l(c) = 3*c**2 - 4*c. Let f be (-4)\/(-10) + (-364)\/(-140). Give f*l(u) + y*v(u).\nAnswer: -4*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 14526?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 2*f**2 + 2*f - 6. Let v be j(3). Suppose 0 = v*a - 1695480 + 300480. What is a rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/23 (b) 2 (c) 1 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((120\/(-16))\/3)\/((-2)\/(-4)). Calculate the remainder when 43 is divided by (-145)\/a - 3\/(0 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -5, 0, -2 in descending order.\nAnswer: 0, -2, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:29 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 20 - (-8 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1184*w**2. Let o(s) be the first derivative of s**2 + 497. Calculate m(o(i)).\nAnswer: 4736*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 915 + i**2 - 286*i - 3*i**2 + 2*i**2 + 1202*i + i**2.\nAnswer: (i + 1)*(i + 915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17661 is divided by 982?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from bbzwikwzzirrzzzbbzzw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -153*c + 154*c + 5*r, -19 = -3*c + 4*r. Put -7, c, 8, 17 in ascending order.\nAnswer: -7, c, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3137 + 3136.8. Which is smaller: 5\/121 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.8. What is the closest to 0 in -4, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 400 + -403. Which is the fourth smallest value? (a) -4 (b) v (c) 0.1 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 15*v**2 + 6*v - 3*v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/6))\/(c**(2\/13)*c)*(c**(-1))**(-1\/19))\/(c**(-8)\/c**(-2\/9))**(1\/44) assuming c is positive.\nAnswer: c**(5923\/24453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*50\/50?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 24. Let b be s(-20). Factor 9639 - 9639 - 4*h**2 + b*h.\nAnswer: -4*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + sqrt(187)*1)\/sqrt(11) - (sqrt(17) - sqrt(85)\/sqrt(5))*-5) + -5 - (sqrt(1275) + sqrt(1275)*1)\/(1*sqrt(147))*-5)**2.\nAnswer: -640*sqrt(17)\/7 + 70857\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194333905.\nAnswer: 5, 59, 191, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70 + 234*u**3 - 325*u**3 - 9 + 27 wrt u?\nAnswer: -273*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271 - -304. Suppose -4*u = -k + 25. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*l - 787, 3*l = i - 0*l + 416. Let z = i - -912. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-4)*24\/(-60).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.793098ml in litres?\nAnswer: 0.006793098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -22, 14, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4 = 2*n, -5*r + 11 = 99*n - 100*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33)\/12)\/(-1) + (-2)\/(-8). Let z be (n\/(3\/2))\/(20\/2481230). Let h = z + -72123. What is h rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/78 and (2\/10)\/((-2)\/4*(-12)\/(-162)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 1a?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. Suppose -17 = v + v - 5*c, -h*v + 11 = -c. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22155205 (base 6) to base 11\nAnswer: -417366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*j*x*z - 4*c**2*x**2*z - 80*c**2*x*z + 2973801*c*j*x**2 - 1241*c*j*x + 7*j wrt x.\nAnswer: -8*c**2*z + 5947602*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*y - 34, 0 = -3*y - 666*n + 669*n + 48 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*g - 2*u - 21, -3 = 3*u. Let y(h) = -2*h**2 + h + 2. Let j(s) = -s**2 + 1. Give g*j(l) + 2*y(l).\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 2*z + 5. Let q(y) = -y**2 + y + 1. Calculate c(r) - 3*q(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(8\/4) + 563. Let d be (6\/(-15))\/((-3)\/4125). Suppose -3*c - 2*n = -3*n - u, d = 3*c + n. What are the prime factors of c?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -68. Is -2566*(0 - 2)\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5) + -2)\/(20\/(-50)). Solve 0*p - h = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2311?\nAnswer: -2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*p**2 + 201*p**2 + 197*p**2 + 204*p**2 - 987*p**2 + 183*p**2 + 7*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/3, -69, 4, 8\/3 in increasing order.\nAnswer: -69, -4, -4\/3, 8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 5 + 5. Let h(t) = 18*t. Give h(j(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.06. Let c = 0.08 - f. Let x = c - -4.88. What is the third smallest value in -3, 2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233269.2us to nanoseconds.\nAnswer: 233269200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m - m)*(2 + 7 + 4).\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/4)\/((124\/(-248))\/(3\/((-3)\/2))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6987 and 0.5?\nAnswer: 3493.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -11517?\nAnswer: -11517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + u**2 - u**2 + (-2*u**3 - 237*u**2 - 2*u**3 + 235*u**2 - 3)*(-8 + 10 - 11) - u**3 + u**3 - u**3.\nAnswer: 33*u**3 + 18*u**2 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418\/7 - -6499\/112. Let v = -1\/832 + 18101\/4160. What is the common denominator of j and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41151301823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7358.000025776 - -7358. What is w rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -2. Let t = 8 - s. Which is the closest to -1? (a) 1\/6 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35254010 - 10?\nAnswer: 35254000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h + 4. Let d be k(7). Let s(o) = -o + 3. Determine s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6 - (-5)\/((-180)\/(-207))). Determine l, given that 0 + 4\/9*l**5 + 0*l + 2\/9*l**2 - 4\/9*l**3 - 2\/9*l**m = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2250 divide 9164250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 5*h**2 + 5*h + 21. Let i(a) = -a**2 - a. Determine -5*i(j) - l(j).\nAnswer: 2*j**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**2)**33\/(s*s**(-2\/13)\/s*s\/s**7) assuming s is positive.\nAnswer: s**(-349\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1220729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from llllllleel?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/3, 3.22, 6397\/2?\nAnswer: 3.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3267 equal to -3269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*a + 1 = 0, 3*a = 8*z + 38 + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2266 = -3*l + 5*y, 2*l + y = 1136. Suppose r = l - 567. Which is the third smallest value? (a) 0.1 (b) r (c) -1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**4\/4 - 29*m**3\/6 + 21*m**2. Is 5 a factor of p(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101924187.9 rounded to the nearest one hundred thousand?\nAnswer: -101900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 5*h + 51 = -4*n, -30 = 4*n + 2*h for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 + 3 = 0. Solve -a + p*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*m - 18. Suppose -12 = -4*r + m. Suppose -2*k + 4*j + 32 = 0, k - 3*j + 54 = r*k. What is the least common multiple of k and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 7. Let b = -6 + 10. Suppose b*m - 15 = 17. Let l be q(m). Round l to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 895*v**3 - 20065*v**2 - 31575*v + 250740 = 0. Calculate v.\nAnswer: -199, -4, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = 3*g, -4*c = -5*c. Let p(k) = 3*k - 26 - 22 + 44 - 5*k. Let t be p(-2). Put t, 5, g in descending order.\nAnswer: 5, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 - 3*x**2 + 2*x + 4. What is the remainder when 778 is divided by c(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4 + 70*q**3 - 981*q**2 + 2340*q = 0.\nAnswer: 0, 3, 15, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -318, -1054, -2480, -4824, -8314?\n\"Answer: -38*l**3 - 3*l**2 + l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 2:48 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 23. Solve 0 = f - m - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*f + 106*f - 552. Suppose -10*m = 4*c - 12*m - f, 0 = -2*m + 10. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 (base 9) in base 5?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from uuuuuuuuuudduuuduudu.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 949 - 413. Suppose j - 9*j = -i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200009 is divided by 125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/11 - 19738*h**4\/11 + 48649212*h**3\/11 + 243601460*h**2\/11 + 341176322*h\/11 + 146243814\/11 = 0?\nAnswer: -3, -1, 4937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 30. Suppose -i = -x - 4*x. Solve 0 = x*y - y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*n - 4*a - 13, -4*a = 0. What is d in 0 + 3\/2*d - 9*d**n = 0?\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -914 by -821.\nAnswer: 914\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/588 and 8\/103995.\nAnswer: 20383020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-45))\/((-20)\/(-15)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10001964 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28117, 25569, 23021?\nAnswer: 20473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4\/16 - r**3\/12 + r**2\/8 + r\/4 + 7. Find s, given that y(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 3ac6?\nAnswer: 3ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 9396\/16)\/((-3)\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -938 + 942. Suppose 0 = r + 5*w - 6*w - n, 4*r - 4 = w. Let p = 22 - 42. What is the second biggest value in p, -3, -4\/3, r?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 20 = -72*m + 51*m, 21*m = -4*k - 33*m + 58 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -292444277 and -292444276 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -360 + 360.000437. Round m to 5 dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 6. Let u be d(5). Let r = -10 - -9. Does r = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22637 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504805 and 2051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 6, x: 3, f: 2}. Give prob of sequence yfg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -b - 4*f + 2, -4*f = -4*b - 8. Which is smaller: b or -5\/62?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*m = -2, 3*m + 2 + 4 = 0. Sort p, 1, 0.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2760 and 720.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-37 - 9) - (-7 - -8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/125 - -2*26\/(-5)) + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -17. Let f be (4 - (-22)\/d)*50. Let z be (-290)\/f - 4\/(-30). Solve -z*k = -3*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92184342 is divided by 1218.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 1008044370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20770, -40774, -60776, -80776, -100774, -120770, -140764?\n\"Answer: s**2 - 20007*s - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10657357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 - 5*w - 3. Let j(y) = y**2 + y + 1. What is h(b) + 4*j(b)?\nAnswer: b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2304604 and 2304598 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1955.\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18263804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15000.999947036 - 15001. Round t to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2105, 2061, 2017, 1973, 1929, 1885?\nAnswer: 1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06116 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 7*l + l)*((-3*l - 2*l - 2*l)*(-3*l**2 + l**2 + l**2) - 2*l**2 + 2*l**2 - l**3 + l**3 - l + l).\nAnswer: 77*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + w = -2*t - 8, -3*t = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*v + 59262 - 146355 = -3093*v + 126695 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -172 + 150 + (-954)\/(-45).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d8a4 - 3?\nAnswer: 1d8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(495) - sqrt(495))\/(-1*sqrt(180)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 49. Let a = -22 - k. Solve a = 7*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1624, 5, -10.\nAnswer: -1624, -10, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty-two sevenths of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1064)\/399*(-2)\/(8\/6). Let q = -9375\/8 - -1170. Find the common denominator of q and (-737)\/11*u\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622928.\nAnswer: 2, 38933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + o**2 + o + 1. Let d be b(3). Let r(u) = u**2 - u + 4. Let s be r(4). Suppose s*m - 14*m = d. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 6. Let m be a(0). Let r(l) be the first derivative of l**3\/3 + 2*l**2 - 14*l + 204. Let q be r(m). Which is smaller: q or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y. Let o = -175 - -170. Calculate k(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/4500 and -88\/315.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**5\/4 + 57661*s**4\/2 + 554093377*s**3\/2 - 369456451*s**2 - 369369957*s\/4 + 369446841\/2 = 0.\nAnswer: -19221, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 0. Let s(v) = -8*v - 12. Let b be s(-3). Suppose l*z + b = 4*z. Solve -15 + z = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + 1.06. Put k, -5, -1.4, 0.2 in descending order.\nAnswer: k, 0.2, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16340 >= -12766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p + 5. Let s(g) = 566 + 0*g**2 - 8*g - 2*g**2 - 572 + 2*g. Give -5*f(z) - 4*s(z).\nAnswer: 3*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -31 + 103 + -53.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(13\/(312\/9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.91 - 2.91. Let z = -57 + 284\/5. Which is the nearest to 2.3? (a) z (b) 1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 11*k + 80. Solve 2*d = -0*d + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/9)\/((-4)\/780). Let o(h) = -h**3 + 59*h + 237. Let d be o(-4). Is d >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaapa. What is prob of picking 1 p and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 - 2*i**3 + 2 - i**3 + 0*i**3 to b*i + g*i**2 + a + v*i**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 44 = -2*s + p, 0 = -0*p + p - 5*p for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154788728?\nAnswer: 2, 3, 109, 239, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-4 + 3 - 2)*(-n + 0 + 0)*(-1 + 2 - 2) as r + d*n and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 2. Let v be c(-6). Let w = v - -29. What is the remainder when (-12)\/4 - w*-2 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 4*c - 8, 12*l + 20 + 31 = 3*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317743070 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -418 + 433. Determine t so that -23 - g*t + 5*t**2 - 2 - 15 - 10 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t\/(t\/(t\/t**(4\/13)))))\/t)*t)**(1\/12)\/((t*t**(-4\/3))\/(t\/(t\/(t\/t**(10\/7))))) assuming t is positive.\nAnswer: t**(47\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -770 + 1187. What is the remainder when y is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 360*w - 1. Let j(n) = -2*n + 185256300 - 185256300. What is x(j(b))?\nAnswer: -720*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 189\/5 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63521, 126647, 189773, 252899?\nAnswer: 316025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.370389mg to tonnes.\nAnswer: 0.000000001370389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34820 - -34845. Solve 0 = -2*q + b - 5*b - 28, 0 = 5*b + f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Suppose 0 = 4*l - l + 4*y - f, 4*l + 5*y = 7. Let z be ((-4)\/5)\/((-4)\/10). Solve -4*c + 24 = 4*i, 4*c + z + 2 = l*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14 + 12*u**2 - 4 + 46*u**2 - 7*u - 9. What is the remainder when v(-1) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-9))\/(2\/(-8)))\/((-80)\/96)\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 84 = 8*u. Let s(i) = -63*i + 118*i - 56*i - u. Suppose 5*o + 5 + 35 = 0. What is s(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 13*m + 7*m**3 + 2*m.\nAnswer: 7*m**3 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*l + 78*l - 312 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2701065*s = -2701850*s + 76145 for s.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9*(-6)\/(-5))\/(2779\/69475)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**8\/1280 - c**7\/210 + 11*c**6\/960 - c**5\/80 - c**4\/12 - 3*c**2. Let k(t) be the second derivative of l(t). Factor k(m).\nAnswer: 3*(m - 1)**2*(7*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 - 27*q - 48. Let i be (3 + -1)*(19 - -1). Suppose -4*f + 24 = -i. Calculate the smallest common multiple of z(-2) and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 990133616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -29. Let l be (-3)\/(-12) + (81\/12 - x). Let r(b) = -b - 2*b + l*b - 2*b. Let u(w) = -64*w**2. Calculate u(r(f)).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.92 or 20?\nAnswer: 5.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-8 + 25)) + 37 + -7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, x: 5, v: 8}. What is prob of sequence xxxx?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13403381.04ns?\nAnswer: 0.000000022161675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -59. What is the remainder when 108 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(-21)*b))\/(b*b**(-38)*b))**(-1\/4))**40 assuming b is positive.\nAnswer: b**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 8) to base 3.\nAnswer: 210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5679, -5678, -5679, -5682, -5687, -5694, -5703?\nAnswer: -5714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Suppose -2*p + p + 2 = l. What is the second derivative of 0*h + p*h - 5*h - 5*h**2 - 5*h wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.036 * 529.\nAnswer: 19.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -77\/5. Let c = -431 + 427. What is the nearest to 0 in c, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 4*k. Let z be r(5). What is the highest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z + 26. Let h be x(-2). Suppose h = -0*f + 32*f - 10720. What are the prime factors of f?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0348, 2, 3, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -171*t - 429. What is p(-6)?\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1215*b**4 - b - 58 wrt b?\nAnswer: -14580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 55*n**3\/3 + 35*n**2 - 80*n + 699. Factor s(j).\nAnswer: 5*(j + 2)*(11*j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 + 27*t**2 + 66*t + 561. Calculate f(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 + k - 1. Let z be j(1). Let u be 6\/4 - 6\/z. Suppose p + 2 - 10 = u. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/5 + 7*p**3 + 248*p**2\/5 - 532*p - 28224\/5 = 0. What is p?\nAnswer: -16, -14, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34572409849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*t - 5*v + 187, -12*v - 2 = -3*t - 7*v for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03576955447 rounded to five dps?\nAnswer: -0.03577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -r - 4*x, -3*x + 452 + 252 = 5*r. Let t = -140 + r. Solve 3*s + t*h + 5 = 0, 0 = -3*s - h - 7 - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-2\/103)*(y*y**(-7\/5)\/y)\/(y*y**1\/y) assuming y is positive.\nAnswer: y**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 + 21*c**3 + 194*c**2 - 660*c - 1936.\nAnswer: (c - 4)*(c + 2)*(c + 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 127085*s - 1525740.\nAnswer: 5*(s - 12)*(s + 25429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y**2 + 174*y**2 - 71*y**2.\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 31*i = 6. Let c(r) = -4*r - 19. Let a be c(i). Solve 0 = -a*d + 10 + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 35?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41151869 - 24227803. Let k = 16378236 - 25002302. Let h = j + k. What is h rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 14*t. Let i(u) = -3*u**3 + 14*u. Let x = 15707 - 15713. Calculate x*q(j) + 5*i(j).\nAnswer: 3*j**3 - 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + -1*sqrt(96)*-4)\/(sqrt(768) - (sqrt(12) + (1*sqrt(12) + sqrt(12))*4))*-2.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 5*o + 5. Let x be q(4). Let s = -37 - -38. Does x = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*f, -2*f - 3*r + 2*r + 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 0 + 1\/60*c**5 + 1\/3*c**2 - 1\/18*c**4 + 2*c - 1\/18*c**3. Factor u(d).\nAnswer: (d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127934*o**3*y - 673*o**2*y - o*y + 24*y wrt o.\nAnswer: -767604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 830, 826, 820, 812, 802?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 10) to base 9\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 8*c - 8. Let m be b(9). Let j = m - -26. Suppose 2*f - q = j, 0 = 3*f - 0*f - 3*q - 18. Solve a + f*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82886 * -24.\nAnswer: 1989264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6583148\/21 less than 313483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -406 - -409. Solve 4*c - 2*d - 12 = 0, c - d - a = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x + 6. Let r be v(6). Suppose r = -3*t + t + 42. Let b(z) = -3*z - 7. Calculate the remainder when t is divided by b(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, w: 2, r: 3, u: 1, t: 1, z: 3}. Give prob of picking 1 t and 1 w.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 2\/7 (b) 4 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -893*x + 9011. Give c(10).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 72 = 3*t. 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: In base 14, what is 0 - -35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62230, -62095, -61876, -61567, -61162, -60655?\nAnswer: -60040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 - 4 = 0, -2*o - 3*i = 12. Let r be (-4)\/o*(-9)\/(-6). Suppose 0 = r*q - 5*n + 156, 2*q + 3*n + 229 = 73. Round q to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/21*(-1 + 4)*3\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7*k + 5. Let j be u(5). Let m be 3\/12 + j\/20. Let z be -16 + 12 + 8\/1. Solve m = v - 2 - 3, 4*v = -z*g + 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4336174 or 17344693\/4?\nAnswer: 4336174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 99. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 2*r)*(-32 - 47 - 10) + (-3*r + 3*r - 2*r)*(1 - 4 + 5).\nAnswer: -182*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 346 - 83 = 0. Let k = s + 52. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48a9 (base 14) in base 16?\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 24 = -2*g + 4*m, -3*g - 2*m + 8 = 0. Suppose -12 = -g*j + 8. What is the smallest value in j, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*4*-1)**2*2 + 4 + sqrt(2448)*1 + (sqrt(2448) - (3*-2*sqrt(2448) + sqrt(2448))).\nAnswer: 84*sqrt(17) + 78340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -34*t**2 - 337*t + 410. Determine k(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 4. Calculate the remainder when 19 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 73. Let w(u) be the first derivative of -u**4\/4 + 5*u**3\/3 + 4*u**2 - 7*u + 1. Give w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 76 = 0. Let o = -4 + i. Let c = o - -5. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 1. Let x be l(-1). Suppose 1469*h = 1494*h + 50. Let j = x - h. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = -1. Suppose 0 = -3*a - 3 - n, 2*a = -q + 56. Suppose 0*y = -4*y + q. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9 - 16 = 0. Let j(x) = x**3 - 5*x**2 + 5*x + 6. Suppose -t = -3*t + 32. What is the remainder when j(l) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (13 - 4 - 36) - -27\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**24*v\/(v**11\/v) assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -51*g**2. Let o(k) = -3*k. Determine b(o(y)).\nAnswer: -459*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1631\/4236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2162303 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j - 126 = 0. Suppose -3*v = -v - 28. Calculate the greatest common divisor of v and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:49 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -200.7 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from jftmifjjjifvjmfjfvjj?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h. Let j be m(5). Let o = j - -70. Are 12 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-612)*(-23195)\/(-130) + 21?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(3*-4*(-4)\/24). Suppose f*c - 4*c + 108 = 5*b, -4*b = 3*c - 87. Solve -3*y + 8*y - 13 = 2*u, 0 = 5*u - 4*y + b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22382, 89481, 201316, 357887, 559194, 805237?\nAnswer: 1096016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l + 2*l - 4*l)*(121*l**3 + 107*l**3 + 112*l**3 - 80*l**3).\nAnswer: -2600*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*a**5\/8 + 1199*a**4\/8 + 3609*a**3\/8 + 4177*a**2\/8 + 829*a\/4 + 3 = 0 for a.\nAnswer: -4, -3, -1, -2\/133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.5696 minus 4006?\nAnswer: -4068.5696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 + 21*y in the form c + o*y and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 - 128 + 32*i)*(i - 6*i + i - 2*i + 0 + 0 - i + 1 - 1 + (3*i - 3*i + i)*(-1 + 0 - 1) - 2*i - 2*i + 2*i).\nAnswer: -352*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 15, 30, 61, 114?\n\"Answer: b**3 - b**2 + b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x + 30*x = -2*i + 6, i = 3*x + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - k + 94. Let j be v(9). Let c be (8*-2)\/(-2) + 2. Suppose 0*h = h + 5*r, -8*h - r = 0. Solve -i - j*i - 4*w + 26 = h, c = -5*i + 5*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21433.41km?\nAnswer: 21433410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y + 0*y)*(-623 + 243 - 307)*(-2*y + y - y + 5*y).\nAnswer: -4122*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-312)\/(-36))*1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/2)\/(-4))\/((-7)\/(-126))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25495, 51002, 76535, 102106, 127727, 153410, 179167?\nAnswer: 205010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 17, 88, 215, 416, 709, 1112, 1643?\nAnswer: 2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -15, -4, 0 in increasing order.\nAnswer: -15, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*b = 126*b - 2865 - 3690 for b.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -18*i - 8. Let u(y) = -6*y**2 + 0 + y**3 + 3*y**i + y**2 - 4 + 3*y. List the prime factors of u(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = 4*c + 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246.81 - -245.91. Let q = -1 - 2. Let b = 0.95 + 0.05. What is the fourth smallest value in b, -1, x, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:10 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 - (0 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.86 - -0.14. Let u = y + -5. Sort 0.2, 2\/5, u.\nAnswer: 0.2, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-113)\/339)\/(1*-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.02\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.993. Round n to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-12)\/6 + 7 + 21\/(-3). Let y(f) be the first derivative of 0*f - 24 - 3\/2*f**l. Let q(m) = 19*m. Calculate q(y(x)).\nAnswer: -57*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 166213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93953097.\nAnswer: 3, 7, 401, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4988216.3289 - -0.06.\nAnswer: -4988216.2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172718 and 50.\nAnswer: 4317950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*s**3 + 4*a**3 + 2*a*s**3 + 270*a wrt a?\nAnswer: -18*a*s**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4322643?\nAnswer: 3, 13, 23, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*1 + sqrt(198))\/(sqrt(704)*3))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ceqz when four letters picked without replacement from ccqeefctztt.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2232450 (base 7) to base 6.\nAnswer: -5534320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/182, 3, -1, 2, 36\/197 in descending order.\nAnswer: 3, 2, 36\/197, 1\/182, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43996, 45870, 47742, 49612, 51480?\nAnswer: 53346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k*k**(-7\/4)\/k)\/k*k*k*k*(k**(-13)\/k)\/k*k assuming k is positive.\nAnswer: k**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.235 - 21422.\nAnswer: -21421.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 1:14 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3 + 8 + 4*g**2 - 22*g**2 + 8*g**2. Let h(z) = 3*z**2 - 4. What is 11*h(c) + 4*j(c)?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -995 - -999. Sort -1, v, 0.1, 1 in descending order.\nAnswer: v, 1, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m. Let i(g) = -5*g**3 + 6*g. Let p(a) = -a**2 + 6*a - 1. Let c be p(6). Calculate c*i(s) + 6*d(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*h - 448. Let z = h + 85. Solve z = 2*i, 5*b + 4*i - 2*i = 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-20))\/(35*3\/120). Let p = -1.9 + 7.9. Let f = -0.2 - -0.7. Which is the closest to p? (a) k (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1780 + 1779.8. Which is the closest to 1? (a) -12 (b) -1\/7 (c) 3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -25*t**2 + 43*t - 4. Let n be z(2). Let w be (-9)\/(-6) + (-5643)\/n. What is the highest common divisor of w and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m = -46*m. Let o = 2.6 + 0.4. Which is the nearest to m? (a) 3\/8 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 13 (c) 1 (d) 2\/27 (e) 4\/3 (f) -2\/119 (g) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 436770?\nAnswer: -436760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - d + d)*(-6 - 6 - 13)*(2 + 2 + 1) + (-4 + 1 + 2)*(3 - 3 + d) in the form v + l*d and give l.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 - (-2 + 28\/5). Let u(c) = c**2 + 8*c + 10. Calculate u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 5708863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**3)\/t)**(-2\/3))**33 assuming t is positive.\nAnswer: t**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = -4. Let a = 95 - 8. Let r(j) = -a + 3*j**2 + 87 + 0*j**2. Determine r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87121 - -87143 - (64556\/2898 - (-6)\/(-21)).\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28758*a = -27119*a + 78672 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3404009 and 107\/3156.\nAnswer: 40848108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/36 and -37\/176.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -v, 3*v - 5*f = 0. Solve -3*y - 12 = 2*n - 4*n, v = 5*n + 2*y - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/10 and 9\/1706.\nAnswer: 8530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*p = -8 - 10, 5*d - p = 17. Which is the smallest value? (a) -3 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2450) - (sqrt(50) + 4 + -3)**2.\nAnswer: -45*sqrt(2) - 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(9\/2)\/(((w\/(w\/(((w*w**(-4\/5))\/w)\/w)))\/w*w)\/w) assuming w is positive.\nAnswer: w**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 676661843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4053 + 14070 = u - 4*g, -3*g = u - 18116. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 404 - 379. Solve -2*i = -2*b - 0*b + 16, -2*b = -5*i - f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 - 10*a - 8 = 0. Calculate a.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 511\/2 or 255?\nAnswer: 511\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3600562 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447462 is divided by 79?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.04355 + -0.02.\nAnswer: -78.06355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + v)*(35*v**4 + 3*v**4 + 54*v**4).\nAnswer: -92*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 198473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1062244589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-27)*p)\/p)\/((p**(11\/5)\/p)\/p))**15 assuming p is positive.\nAnswer: p**(-408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.028 and -78690.\nAnswer: -78689.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 137182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.840073 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-2))\/((-13)\/26)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 27*w - 27. Calculate the remainder when d(-16) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214776 = 4*c - 2*i, 4*c + 2*i = 184549 + 30235. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/90 and -55\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 2)*(7 - (-1729)\/(-245)). Sort -4, -2, -141\/8, y in decreasing order.\nAnswer: y, -2, -4, -141\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + (-82)\/(-3). Let t = i - -83. Let n = -65 + t. What is the highest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3879, 1, -0.03 in decreasing order.\nAnswer: 1, -1\/3879, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:13 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235403*c*z**4 - 1728*c*z + 2*c - 8*z wrt z?\nAnswer: -2824836*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 6a?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 7*o**2 - 10*o + 1. Let r be a(5). Let i = -5\/28 - -109\/140. Is r > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 3*l + 2328. Suppose -4*k + l = j, -k + 143 = -3*j + 2*j. Let o = k + -71. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 2*f - 4*f, -4*u = f - 3. Let l be -1*(-14 - 0 - u). Suppose 5*y + l = 4*k - 46, 15 = -3*y. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*(-204)\/(-106029)*(7\/(-2))\/7?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101011101111010 - 1011110?\nAnswer: 100101011100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 218 = 144. Let y(m) = 3*m**3 + 98*m**2 + 65*m + 33. What is the least common multiple of y(-32) and g?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/90? (a) 0.1 (b) -0.6 (c) -0.311 (d) 3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23201?\nAnswer: 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5417*b*y + b + 29 with respect to y.\nAnswer: 5417*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1203 - 2?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w + 9. Let h be x(7). Suppose -m + h = 5*m. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlimdjcdilim. What is prob of picking 1 l and 2 m?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + (-29)\/5 + 35579982\/15. Round l to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*r - 18 = 0, -2*r + r - 4 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 312552?\nAnswer: -313030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9 and -8?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12776 - 5.12776. Which is the fourth biggest value? (a) -4\/9 (b) -4 (c) 3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = -6*d + 9*d + 5*y, 4*d + 5*y - 650 = 0. Calculate the lowest common multiple of d and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 2*c**2 - 6*c**2 + 13*c**2. Let l(q) = 3*q**2. What is a(l(v))?\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 228846 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 + 0 - 3)*(j - 5*j + j) - 2*j - j + 0*j)*(j**3 + 2 - 2).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-9 - 8) - 20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/5148 and 19\/9210?\nAnswer: 7902180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1154 - 1156. What is the closest to -1 in 9\/2, 0.18, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*n + 133 = 0, -3*x = -3*x - x - n + 28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298443?\nAnswer: 3, 53, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -1\/12*w**4 - 3*w + 0*w**3 + 0 + 0*w**2. Let b(u) be the second derivative of u**4\/3 - 18*u. What is h(b(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 2:24 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1671 (base 15) to base 9.\nAnswer: 6557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 11827\nAnswer: -4730.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -34 - 236. Let r be (-56)\/(-10)*n\/12. Does 13 divide (-1 - (1 + -1))*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166464847 to the power of 1\/2, to the nearest integer?\nAnswer: 12902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 129, 1, -4\/7 in ascending order.\nAnswer: -4\/7, 2\/3, 1, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -56*q**4 + 6*q**3 + 3*q**2 - 5*q + 6. Let w(m) = -m**4 + m**3 + m**2 + 1. Let i(v) = -f(v) + 6*w(v). What is the third derivative of i(u) wrt u?\nAnswer: 1200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 + l - 1. Let m be a(4). Suppose 0 = f + 3, -m*w + 0*f = 3*f - 57. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, s: 3}. Give prob of sequence ssse.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 86220.66 millennia?\nAnswer: 862206.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89033425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584*s**3 - 395*s**3 + 5260*s - 619*s**4 + 2334*s**3 + 618*s**4 + 594*s**3 wrt s.\nAnswer: -12*s**2 + 18702*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + -330. Let y = a + 322. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(0*f + 2*f - 4*f) + f - 2 + 2 - 3*f - 16*f + 10*f)*(4 - 4 - 8*f).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7263752 (base 8) to base 3\nAnswer: 10121220112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, r: 4}. What is prob of picking 3 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014964244 rounded to four decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -453, -1\/3, 5 in descending order.\nAnswer: 5, -1\/3, -1, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758218201?\nAnswer: 13, 479, 121763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {j: 2, s: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*y - 34*y - 394 = -40*y - 1264 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-166)\/(-3) - 9\/27. Suppose 0 = 5*b + t - 131, t = 2*b + 4*t - p. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 349.3 + -46499276\nAnswer: -46498926.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -6.1. Let n = 11629\/5 - 2326. What is the biggest value in n, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 2*q + 4*q - 12. Let z be o(-5). Let x(c) = -5*c - 12. What are the prime factors of x(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {r: 3, u: 2, s: 5, j: 3}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1148.01 + 1148.01144887. What is b rounded to 5 dps?\nAnswer: 0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2591, 10281, 23081, 40997, 64035, 92201, 125501, 163941?\nAnswer: 207527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846 minus 11044260.47?\nAnswer: -11036414.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 + -2)\/3 - -1. Let r be g\/4*1\/(-65). Let k = -63\/286 + r. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1. Suppose 2*t = 3*z + 5, -27 = -4*t - 5*z - 28. Let l(h) = 4*h - 1. Give t*l(b) - 2*i(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -391 + 1013. Let r = u + 1669. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 1, f: 1}. What is prob of sequence qeqf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 = 62*w - 299*w + 2163 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8744064 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -1\/30*o**6 + 0*o**4 + o + 0 + 0*o**5 - 2*o**2 + 0*o**3. Differentiate a(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2802.80124 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 179579797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2798693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.206 and -0.05.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 28 = -4*q, 206*q - 40 = -5*d + 201*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416976 and 1008.\nAnswer: 1250928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5629078900 to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684.552t to micrograms.\nAnswer: 684552000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31341901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41*-1 - (1 - -1). Put 4, 3, l in increasing order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbs when three letters picked without replacement from yrybrrsrsrrrbsrryrr?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 0, 14, -257, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4\/7 + 1980*n**3\/7 + 5976*n**2\/7 + 16*n\/7 - 7968\/7 = 0.\nAnswer: -2, 1, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -14431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003332 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:51 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*p + 10*p. Suppose 0 = -2*w + 4*d + 8 - 28, -14 = -w - 4*d. Let k = p - w. Which is the closest to 0.1? (a) 2 (b) 1\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/49 - 4\/(-14). What is the units digit of -1*(-16 - (g + 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/13992030 and 35\/234?\nAnswer: 13992030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14165\/28 + 155983\/308. Determine p, given that -2\/11*p**3 + 10\/11*p**2 - o*p - 18\/11 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 1 + f**2 - 4*f**2 + (f - 3 + 3 - 2*f + 2*f - f + (-3 + 0 + 2)*(2*f + f - 2*f) - 5*f + 2*f + f + f - 2 + 2)*(3*f + 43 - 43).\nAnswer: -10*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26087, -52182, -78279, -104378, -130479?\nAnswer: -156582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*c - 3 = 20, 0 = 4*x + 5*c - 11. Suppose x = -2*t + 6. Let r be (20004 + -4)*(-79 - t). Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1158 = 3*w + 12642, 2*w = -3*q - 9200. Round w to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0439739 - -0.044. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -39. What is the closest to 0.1 in -0.1, b, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(42\/8)\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 432*q**5\/5 + q**4\/12 - 433*q**3\/3 + 764*q. What is the third derivative of g(o) wrt o?\nAnswer: 10368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(36)*-2)\/sqrt(3)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -760 = -761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (185\/9 - -5)\/(1\/(-15)). Let d = u - -18277\/48. What is the common denominator of d and 4\/10 - 924\/(-1040)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 7*n - 6. Let a be s(-4). Let b = 13 + 12. Solve -5*m - b = 0, 4*i - m = m - a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 4. Let f be k(2). Suppose f = 3*i + 4 - 1. Put -4, i, -5 in increasing order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 56759832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)*y*y*y**(7\/3))\/(y**7*(y**(4\/7)*y)\/y*y) assuming y is positive.\nAnswer: y**(-572\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(19\/3))\/(v*v\/v**(4\/5)*v) assuming v is positive.\nAnswer: v**(-113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 44 = -110 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -45*r**4 + 1080*r**3 + 1190*r**2 - 1600*r - 625 = 0.\nAnswer: -5\/3, -1\/3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/855*-9)\/((-3 - 135\/25) + 2).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:58 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * 66.\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.4 and -27.\nAnswer: 469.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3881918218?\nAnswer: 2, 709, 1327, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.8. Let u = -263 + 199. Let f = u - -68. What is the closest to 0 in b, f, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 0, 0*n - n = -5*k - 164. Suppose y + 19 = -f - 4*f, 4*y - 2*f = -n. Let a = y - -76. What is the common denominator of 8\/3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**3 + 77*i - 76*i + 0*i**2 + 2*i**2. What is d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82.7 - 178.9. Let i = x - -96. Put -2\/3, 5, 2\/3, i in decreasing order.\nAnswer: 5, 2\/3, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 0.035 (c) -256\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a + 23*a + 9*a)*((2*a - 3*a + 2*a)*(-2 - 6 + 4) + (3*a + 3*a - a)*(-3 + 2 + 2)).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -75?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 59*n**2 + 855*n + 448. What is c(-14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/147 and 8\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 385 - 387. Let p be (n + -1)\/(-3) + -34. Put p, 2, 1 in ascending order.\nAnswer: p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 157443755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*d = -3*d + 7, 31 = -2*w + 5*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 758, 3036, 6832, 12122, 18882, 27088, 36716, 47742?\n\"Answer: -4*o**3 + 783*o**2 - 43*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/4*30\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + i = -2*a - 150, 4*i = -a - 45. Let l = a + 93. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1085256 + -1615256. What is f rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 1596300*q + 11174296.\nAnswer: -4*(q - 7)*(q + 399082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 3. What is s(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/131 and -34\/811.\nAnswer: 106241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 184 + -86. Let j(f) = -2 - 196*f + g*f + 101*f. Give j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 25. Suppose f*q + 4*r - 19 = 2*q, 2*q + r = 7. Solve -q*g = 0, 0 = -x + g + 2*g + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951762 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 2*f**2 + 0*f**2 + 3*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2009630 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (247\/2 + -1)*(679 - 677) is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*4*-4)\/(6*sqrt(50)\/sqrt(5))*-3.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from gpuuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 203373096 and 156266.\nAnswer: 2237104056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 5}. Give prob of picking 3 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 515558009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 9423*c + 9418*c + 50 + 5, 3*w + 0 = 3*c - 33 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/792 and -5\/302016?\nAnswer: 906048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0188 take away -503185.25?\nAnswer: 503185.2688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677239 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlqqgglhghlhghg. What is prob of sequence glq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 2 q when four letters picked without replacement from {e: 1, k: 1, g: 2, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m - 3. Let n be l(2). Let j(r) = r**3 + 12*r**2 + 22*r + 12. Let v be j(-10). Let b = v + n. Solve b*p + h + 4 = -0, -4*h + 9 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7626802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.32 (b) 3 (c) -2\/93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -22.3. Let w = j - 21.4. Which is the third biggest value? (a) -6 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -5 - (3 - -36). What is t rounded to 0 decimal places?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26600 and 769120?\nAnswer: 26919200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 5:20 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 - 2*m**2 - m + 2. Let s be (0 + 1)*(-50)\/(-2). Let b(h) = 27*h - 33*h + 11 - s*h**3 - 10*h**2 - h**2 + 9*h**3. What is -2*b(f) + 11*l(f)?\nAnswer: -f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*r = 24, -3*r + 273 = -3*f + 270 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {g: 8, a: 2, d: 1, s: 1, l: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 351121 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 156, 284, 444, 636, 860, 1116?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 - 222. Let v be (16\/(-25))\/((-2)\/(-20)). Does k = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 12*a - 19. Suppose 72 = 13*q - 9*q. Is u(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 (9 - (1 - -2)) + 5 + (-33 - (-8 + 27))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219803 + 1169468\/5. Let z = m + -13983. Let p = 108 - z. Which is the biggest value? (a) p (b) -1\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4125*q + 4097*q = 616 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + 116*g**2 + 513*g - 441. Determine f(62).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -1 (c) 43 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111322 (base 4) to base 11.\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127856, -127889, -127918, -127943, -127964, -127981?\n\"Answer: 2*f**2 - 39*f - 127819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.999986 - -29. What is i rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6104*i + 6100*i + 4*o + 4, 2*i + 7*o - 20 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7631*p + 3739211. What is z(490)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrlryrnnnerrnlnyynl. What is prob of sequence yyr?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Suppose 2*r - 4*r = -4. Suppose r*t - 5*t + 3 = 0. Is t at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113\/2 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 3*d**4 - 4*d**4)*(2 - 2 + d) + 1164*d**5 - d**4 - 15*d**3 + 2*d**3 - 1160*d**5 + 2*d**5 - 4*d**5 + 5*d**5.\nAnswer: 5*d**5 - d**4 - 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 15. What is the tens digit of b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -343, -796, -1411, -2182, -3103?\n\"Answer: m**3 - 90*m**2 - 22*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3, w - 6*w = 5*g. Suppose -g*y + 587 = 56. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 69*w**2 + 1167*w - 237. Calculate v(29).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 take away -518?\nAnswer: 518.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c = 7*c + 238 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1 - -2) + 0. Suppose y = x*q - 3*y - 24, -2*y = 4*q - 10. Which is the smallest value? (a) 2\/3 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08723 - -7\nAnswer: 7.08723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110465 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329195*m + 57 = -329193*m + 3*b, -4*m = -5*b + 117 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112100 (base 3) in base 9?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from fuykuyflykfyuluk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*j - 1779*d**2*q - d*j*q + 3*j*q - 1072*j - 5*q wrt d?\nAnswer: 4*d*j - 3558*d*q - j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 232741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -7, -5, 49\/6, 4\/9, 77 in ascending order.\nAnswer: -7, -5, -1, 4\/9, 5, 49\/6, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 v, and 1 t when four letters picked without replacement from kvjktvsskttt?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321102103 (base 4) to base 7.\nAnswer: 1665043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4. Let y(o) = -5 + 4 + 1 + o - 4. Let u(b) = 4*p(b) + 3*y(b). Find the first derivative of u(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 43, 2, 4 in descending order.\nAnswer: 43, 4, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 5. Let k be t(4). Suppose 2*c + 5*w = -31, 0 = 3*w + 15. Let j be c\/(4\/(4\/(-1))). Sort j, k, -7.\nAnswer: -7, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97904.8 days in nanoseconds?\nAnswer: 8458974720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**4 - 1. Let p(n) = 12*n**4 - 8*n**3 + n**2 + 2*n + 7. Let h(m) = -4*p(m) - 28*v(m). Factor h(r).\nAnswer: -4*r*(r - 1)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 64 = 13. Suppose -4*y - h + 35 = 0. Solve -q = -y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00616424 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 120. Let x(f) be the first derivative of 2*f**3 - 2*f + 1 - 1\/4*f**4 - 3\/2*f**2. Determine x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58953, 235804, 530577, 943284, 1473937, 2122548?\nAnswer: 2889129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -801, -848, -893, -936?\n\"Answer: n**2 - 50*n - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0287 + -1.0287. Suppose -2*o + 7 = 51. Let k = -21 - o. What is the nearest to q in k, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 16*u - 61. Suppose -38 = -2*y - 28. Is g(y) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 2*s**2. Suppose 3*p - 2 = -3*d + p, -4*p - 4 = 2*d. Let q be d\/(-3 - 7\/(-3)). What is i(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 161 = -i + 1089, 3*i - 3707 = -4*s. List the prime factors of s.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27035 at most as big as 440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**5 - 65*r**4 - 320*r**3 - 340*r**2.\nAnswer: 5*r**2*(r - 17)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkkmkzmzkmkkkkkkk. What is prob of picking 1 k and 1 z?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 11*l**5\/20 + 2*l**2. Let k(a) = a - 2. Let r(u) = 2*u - 5. Let b(g) = 5*k(g) - 2*r(g). Calculate b(i(z)).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**9\/3024 - h**5\/30 + h**3\/3 - 1. Let k(l) be the third derivative of v(l). Find the second derivative of k(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -817, -1547, -2179, -2707, -3125, -3427, -3607?\nAnswer: -3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - d + 30. Let m(c) = -c**3 + 9*c**2 - 12*c + 19. Let b be m(8). Is o(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -6*h + 2*h, 2*u = -h + 10. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6291 and 169.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 714034, 1428069, 2142104?\nAnswer: 2856139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lltg when four letters picked without replacement from {l: 2, t: 4, g: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1274007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.8 + -80. Let m = l + 6.2. Let o = 0.04 + 0. Is m < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -69\/8 (b) 51 (c) 5 (d) 4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h**4 - 10*h**2 - 12*h - 50. Let f(v) = -v**4 - 2*v**2 - 2*v + 1. Let i(k) = 6*f(k) - u(k). Differentiate i(l) with respect to l.\nAnswer: -68*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39196352 and 9799088?\nAnswer: 39196352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -487\/4. Let w = -3.03 - -0.03. Let l = -3.4 - w. What is the third biggest value in k, 2, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2169.093 rounded to the nearest integer?\nAnswer: -2169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 292506886 to the power of 1\/2, to the nearest integer?\nAnswer: 17103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401230.4 seconds in hours?\nAnswer: 1222.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 411148126 a multiple of 1483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 20 = 2*d, d = 2*v - 455 + 445 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43622 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 35828353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 3*m + 4*m + 42*m + 96 - 96 + (4 + 0 - 2)*(-m + 3*m - 4*m) - 3 + 3 + m + 2*m + 0*m - 3*m + 13*m + 5*m - 64*m to f + x*m and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-18) + (-807)\/(-27). Let r = -27 + n. Solve -v + 0 = r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/2, 2, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(450)*2)\/(sqrt(18)\/(sqrt(2) - sqrt(2)*2)*6)*-6)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -4.09. Let a = b - -4.5. Let l = -0.42000053 + a. Round l to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5799*z**3 + 3*z - 2. Suppose 2*k = 5*f + 3, 4*f + 3 = 3*f + k. Let o be r(f). Suppose 16*l = 20*l + o. What is l rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 38 = 4*v + 178, -360 = -5*g + 4*v. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b - 6. Suppose 0 = -2*r - 3*r + 140. Suppose 1 = -4*h + 5*k, -2*h - h = 2*k - r. Let c(a) = -6*a - 7. Let m = 106 + -113. What is h*c(d) + m*t(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvllyuyutuulytluvl. What is prob of picking 1 t and 2 u?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556, -1388, -2844, -5302, -9140, -14736, -22468, -32714?\nAnswer: -45852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 5*l - 6. Let o be r(-5). Let i be 3 + (o - (-6 + 3)). Suppose 4*n - f + 6 = 5*n, 5*n - f = i. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2342 from 4342760417.\nAnswer: 4342758075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -207, -456, -805, -1254, -1803?\nAnswer: -2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) + 10\/(-15) + 0. Is -2\/361 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - 26\/(-4). Suppose -2*y = -0*y - o. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.6 * -708.\nAnswer: -11752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stssgsttjssgstss. Give prob of sequence gtgs.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1550723879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*u + 4*o, -u - 3*u = -2*o. Calculate the least common multiple of 20 and (0 + 1 + 23)*u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010001010111110100110010 + -1?\nAnswer: -111010001010111110100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*n = 18, -d + 883*n - 885*n - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - v - 24. Let y(m) = -8*m**2 - 2*m - 72. Give -11*x(p) + 4*y(p).\nAnswer: p**2 + 3*p - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716598.5 rounded to the nearest 10000?\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i - 12. Let c = 4 + i. Let t(s) = 8200*s**2 - s + 1. Let f be t(c). Round f to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 1386 = -0*n. Let d = 235 + n. Sort 3, -3, d in decreasing order.\nAnswer: d, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t + 96. Let l = t - 20. Calculate the highest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7466246929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5267+-1\nAnswer: 5266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 968 (base 16) to base 5\nAnswer: 34113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. Suppose 5*l + 29 = 3*s, 7*s = m*s + l + 19. Suppose -5*d = -0*k + s*k + 2880, -3840 = 4*k - 5*d. What is k rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 equal to -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = -11*y + 1260. Let d be -1*y\/(-42)*(-7)\/(-8). Which is the closest to 0? (a) -0.6 (b) -6\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 67*y**2 - 3*y + 81. Let j be v(16). Is j + (-7 - -9)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 17. Let j = -90 + 119. Suppose 4*l + u + j = -4*u, 14 = -3*l + 4*u. Let a be i(l). Solve -a*w + 2 = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20119 + -5492477\/273. What is the common denominator of 62\/637 and c?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 172307, 172310, 172315, 172322, 172331?\n\"Answer: j**2 + 172306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 244427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/5)\/n*n*n)*n**(-5))\/(n\/(n**1\/n)*n)**(-46) assuming n is positive.\nAnswer: n**(428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 7:05 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10 + 3905\/(-550))\/(15\/(-36)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26833.\nAnswer: 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -26, -9, -24931 in decreasing order.\nAnswer: -3, -9, -26, -24931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 57*i + 143. Calculate a(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-7)\/70).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i = -324*i + 1742 + 1268 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 77839 + 4*g - 4*g + 77839.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -416430, -3331426, -11243556, -26651388, -52053490, -89948430?\n\"Answer: -416428*c**3 + c**2 - 3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2 + 4. Sort a, 0.1, -4.\nAnswer: -4, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqrrrrrrrzrqrrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 5*c - 8. Let k be s(-5). Let x be 4\/k + (-42)\/(-12). Suppose 5\/4*y**4 - 5\/4*y - 5\/4*y**2 + 0 + 5\/4*y**x = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336987 minus -1362?\nAnswer: -335625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/20 + 3*d**4\/8 - d**3\/6 + 34*d**2. Let u(c) = -5*c**2 - 14*c + 2. Give 8*h(y) + 5*u(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*r - 19, 4*r = 2*g - g - 3. Let k be (23\/(-3))\/(g\/90). Suppose -q - q + k = 0. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 6*y**2 + y - 6. Let u(f) = f**2 - 21*f - 20. Let v be u(22). Suppose 10*r + 72 = -v*r. Calculate a(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 28*f**4\/5 - 31284*f**3\/5 + 133704*f**2\/5 - 160304*f\/5 + 35616\/5 = 0?\nAnswer: 2\/7, 2, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*h**2 + 9*h - 3 + 18*h + 13*h - 40*h.\nAnswer: -38*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0 - 5 + 4)*(-4*l - 2*l + 4*l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 9*i**2 - 17*i - 1. Let h be t(5). Suppose 28 + h = -2*v. Let y = 56 + v. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -282*u + 288*u. Suppose 0 = u*p + 4*j - 1120, 7*p - 11*p + 2*j + 1486 = 0. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52554843?\nAnswer: 3, 11, 530857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 4*p**2 + 8*p - 118. Let w(j) = -2*j**2 + 2*j. Calculate s(i) - 4*w(i).\nAnswer: 2*i**3 + 12*i**2 - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/126 and 65\/462.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbbbbddlbdbldb. What is prob of picking 2 d and 2 b?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Factor 0*n + 0*n - n**f.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 72*h + 1044. Let w be c(-8). Calculate the highest common factor of w and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9471)\/28)\/(((-3)\/(-10))\/((-8)\/5)). Calculate the greatest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 399*n - 4810. Calculate k(12).\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 16133190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 125*s + 1300 = -42*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 0, -b - 34 = 3*r - 11. Let m be (-25)\/9 - (-2)\/r. Is m at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11814 and 11645740?\nAnswer: 384309420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13756 and 19?\nAnswer: 13756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126392.7 litres in millilitres?\nAnswer: 126392700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -165288493892 and 809.\nAnswer: -165288493083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.075 - 0.075. Let d = -5 - 0. Put t, d, 0.3 in increasing order.\nAnswer: d, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -418 (c) -4 (d) 7 (e) -1 (f) 0.11 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 - 5*n**3 - 2*n**3)*(-5 + 5 - 1 + (-4 - 1 + 6)*(1 - 2 + 2) - 2 + 2 - 1 + 1 - 3 + 1 - 9 - 3 + 7).\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215823594.\nAnswer: 2, 3, 7, 5138657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 455580107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 14.8. Let k = 13.4 - r. Let n = 0.72 - -0.28. Which is the second smallest value? (a) n (b) 1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -26*o**3 + 5*o**2 - 6*o + 12. Let t(m) = -m**3 - m**2 + m - 2. Calculate -g(x) - 6*t(x).\nAnswer: 32*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205890 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -11, -7, -2, 15 in descending order.\nAnswer: 15, 3, -2, -4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/3 (c) 1\/7 (d) 244557 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = -5*x. Solve -x*c = -9*f + 4*f + 11, -1 = f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185 by -37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 19 - (-2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441840077 and 4269.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s**2 + 3. What is the tens digit of i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 7, a: 3}. What is prob of picking 1 a and 2 k?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3348 less than -3350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(1372) + sqrt(1372) - 6*sqrt(1372)*-2) + -5 + -3*(sqrt(56)\/sqrt(2) + 2).\nAnswer: -14 + 204*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196.243759 + -82.\nAnswer: -278.243759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 6*f**3 - f**3)*(-2 + 1 + 0) - 2 + 2 + f**3 + (f - f - f**2)*(-1 - f + 1).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/4 of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 12*d**2 + 42*d - 184. Is i(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -974*-6.1228.\nAnswer: 5963.6072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkkv when four letters picked without replacement from {v: 5, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 12. Suppose 4*z - 3*b = 15, -3*z = 3*b - 4 - 23. Determine o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5)\/(5\/492))\/(0 - (-7)\/(-203))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - -1.5. Is k smaller than -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 338.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470322817 minus 56?\nAnswer: -1470322873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmhh when four letters picked without replacement from mmmmhmmmmmmmmmmmhmhm.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6 - -3 - 9) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*w + 219 + 89, 5*w = -z - 376. Let g = w - -182. Calculate the remainder when g is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*a + a**2 - a**3 + 38*a - 123*a + 2 in the form u*a**3 + t*a**2 + j + b*a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 189\/(-504) + 198\/16. Solve i + 8 - o = 4*g, 5*i - g - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2538?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d**3 + 6*d**3 - 2*d**3 + 6*d wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25013245 + 0?\nAnswer: -25013245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541 divided by -4.\nAnswer: 541\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3\/4 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 8.4 (b) 2\/5 (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335839.2 millennia to years.\nAnswer: 335839200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -53, 9, 2 in descending order.\nAnswer: 9, 2, -2, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*s**4 + 8*s**3 - 36*s**2 - 8*s.\nAnswer: 4*s*(s - 1)*(s + 1)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2 - 511950*y - 50702652 = 0.\nAnswer: -99, 256074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -13591 and -13590 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = c + 2*c, -c - 4*p = -2. Solve 5*b - 15 = c*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 3, -2 in increasing order.\nAnswer: -8, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 284079331 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**2 - 13*a + 28. Let w(f) = -6*f**2 - 12*f + 27. Let q(n) = 5*i(n) - 6*w(n). Let b be q(-9). What is the third smallest value in b, -0.3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 21, 130, 345, 702, 1237, 1986?\nAnswer: 2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from mxuuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 129174420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {n: 1, x: 1, d: 2, o: 4, i: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 53. Let m be f(-4). What are the prime factors of (6 + m\/(-5))\/(6\/(-526))?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11805035 is divided by 197.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3497109.\nAnswer: 3497109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (15 - 2) - -18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(343)*2*6 - (-1*sqrt(343) + 4))*-1 + -2)**2.\nAnswer: -364*sqrt(7) + 57971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/1080 + 16*q**5\/45 - 512*q**4\/9 - 34*q**3\/3 + 2*q**2 + 22. Let n(a) be the first derivative of r(a). Factor n(u).\nAnswer: -(u - 64)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (-1*sqrt(78) + sqrt(78))*-6)\/sqrt(6))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1033794 and -23\/2908?\nAnswer: 2067588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 97 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152710.317000332 + -152710.35. Let r = 0.033 + u. What is r rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w - 7. Determine b(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 11*k - 5. Let x be d(-13). Let r be 6\/21 + 15\/x. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12900 and 180?\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3603007048802*s**4\/5 + 32427058070414*s**3\/5 + 72060092656806*s**2\/5 - 107376062*s\/5 + 8 = 0. Calculate s.\nAnswer: -5, -4, 1\/1342201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -487660524 by 12.\nAnswer: -40638377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -11*d**4\/6 - d**3\/6 - 6*d**2. Is w(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/146 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 5. Let s be o(5). Suppose -5*x + 4*x = -s. Let k = x - 8. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2*o**5\/5 - 31*o**4\/2 - 183*o**3 - 568. What is the third derivative of g(y) wrt y?\nAnswer: 48*y - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 6*x + 1. What is the remainder when 17 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.256 in -2, 4, 0, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5*g + 2*a = 131, 0 = g + a - 42. Let c = -11 + g. Let x = c - -50. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from pdpdlppl.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-32)*(-8)\/6. Let h = -5.84 - 0.16. Let z = h + 1. Which is the second smallest value? (a) r (b) z (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.4, 43, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(119) - sqrt(119)*-2)\/sqrt(7).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*i + 139*i - 408*i = -11397 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/15 - 906\/(-30)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/30 + y**2. Let f(j) = 3*j**2 - 3*j + 3. Let k(z) = -3*z**2 + 4*z - 4. Let n(l) = 4*f(l) + 3*k(l). Determine n(m(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**4 - 25*m**3 - 15*m**4 - 25*m**3 + 2*m**2 + 48*m**3 to f*m**2 + h*m**4 + w*m**3 + p + q*m and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -115 - 49. Let y = 3 - -1. Suppose -138 = -y*a + g. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1, 0.2, -18\/7, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k. Let w be (-2 - 20) + (2 - k). Let j be (w\/(-6))\/((-6)\/(-9)). Solve 2*t + 2*i = -4, 0 = -2*t - t + j*i + 34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (68\/(-10))\/(-6*3\/45). Suppose -3*n = -j + 5 + 7, 0 = 2*j + 2*n + 8. Solve 4*x - k = 5*l, -2*l + j*x + 4*x - 14 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 29 = 24*k - 2*r, -87*r - 589 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21640 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 17, 32, 53, 80, 113, 152?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 783941.8 years in months?\nAnswer: 9407301.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 21. Suppose 2*o + 15 = r*o. Suppose 0 = -m - 3 + o. Solve -a + g - 3*g = 4, -m*a + 5*g + 19 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s**2 + 0*s)*(0 - 2*s**3 + 0) - 4*s**5 + s**5 + s**5 + (-4*s**3 + s**3 + s**3)*(0*s**2 - s**2 + 2*s**2).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*f = -20, -4*n - 14*f = -9*f - 25. Solve n*l + 2*l + 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b2616 (base 13) in base 12?\nAnswer: 2939a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 - 378. Let b = -137 - o. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -0.02 (b) -3\/14 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/8)\/(3\/6). Let l be 18 - (-2 + 1 + f). Let o = 28 - l. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*h - 4*t, 8 = -1827*t + 1823*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8498482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3, -144778, -5 in decreasing order.\nAnswer: 3, -0.04, -5, -144778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10077 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-32)*(-80)\/(-30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - r = 7992, -6400 = -4*m + 63*r - 59*r. What are the prime factors of m?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-2 + 21 - -15) - 22\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/13 + 13301438*t**2\/13 + 1701218364336*t - 49336193070216 = 0 for t.\nAnswer: -3325374, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 + 125*r**3 + 2*r**2 + r**2 + 4*r**2 in the form v*r**2 + t + g*r + a*r**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 578*y. Let p(a) = 80*a + 14. Calculate p(t(j)).\nAnswer: 46240*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1203.492 - -1207. Let x = s - -0.492. What is the closest to 2 in 5, x, -30?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1139)\/3417)\/((-7)\/(-1281))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-5))\/4*(-25)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5\/5 - 3111*z**4\/5 - 150636*z**3 - 440124*z**2 + 7513488*z\/5 + 17853696\/5 = 0.\nAnswer: -656, -378, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174439?\nAnswer: 19, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8521 = -5*v + 3*a, -2*a = 3*v + a - 5103. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/9, 6\/11, 0.4 in increasing order.\nAnswer: 1\/9, 0.4, 6\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 23*n**3 - 112*n**2 + 14*n - 3. Let h(b) = 17*b**3 - 84*b**2 + 10*b - 2. Calculate 8*c(u) - 11*h(u).\nAnswer: -3*u**3 + 28*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-351)\/(-96))\/((-2258)\/6104). Let l = 10\/1129 + a. Calculate the common denominator of l and (((-215)\/2)\/5)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(7) + (sqrt(7) + sqrt(28))**2).\nAnswer: 6*sqrt(7) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 1, a: 10, u: 2, i: 3, j: 2}. What is prob of picking 1 k, 1 i, and 1 n?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45515022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p - 3*p + 4*p)*(3*p**2 - 3*p**2 + 6*p**2) to h*p**2 + n*p + q + x*p**3 and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45512 (base 12) to base 7.\nAnswer: -533102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 7163 - 40201 + 7489 = -723*q for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31207, 31903, 33063, 34687, 36775, 39327?\n\"Answer: 232*a**2 + 30975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5465738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 40 = 7*m - 5*z, 0 = 5*m + z + 50. Let p be 1*m\/((-6)\/3). Let x(w) = 7*w**3 - 5*w**2 + w. Let n(q) = -10*q**3 + 7*q**2 - q. Give p*n(l) + 7*x(l).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316646.\nAnswer: 2, 11, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 10*j + 9. Let x(z) = z**3 - 5*z**2 + 4*z + 5. Let f be x(4). Suppose -f*n - 13 = -53. What are the prime factors of a(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.0000384 - 45. What is n rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 9*q - 7. Give f(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*i**2 + 0*i + 1\/3 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28021758.\nAnswer: 2, 3, 4670293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476615.\nAnswer: 5, 19, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -206.1 - -190.1. Let v be (5 - 5) + (-9)\/(-21). Sort v, -3, a in ascending order.\nAnswer: a, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822*r - 112 = 818*r. Let m be ((-42)\/36)\/(r\/(-6)). Let n = -6.13 + 6. Are m and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-1 + -2)\/9. Let t be -2 + (k + 1 - -2). Suppose 0 = 2*r - t*r - 4. Solve -5*n - c + 7 = -16, 20 = r*n + 4*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**2 + 9*b + 26. Is y(-12) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 + o**2 - 8*o + 8. Let j be m(1). Let u(x) = -36*x - 76. Give u(j).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 180401\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2. Let x(g) = -2*g - 2544 + 5090 - 2546. Let n(d) = -9*d. Let j be (-1)\/4 + (-90)\/(-8). Let z(f) = j*x(f) - 2*n(f). Determine z(a(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 1, l: 1, y: 2, a: 1, f: 2}. Give prob of sequence fl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 9:37 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-9))**(-5\/13) assuming s is positive.\nAnswer: s**(40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17367*l - 627 + 627.\nAnswer: 17367*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 147331*j - 2357303. What is d(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -898*n - 84039 - 6346*n + 84039 - 146*n to k*n + q and give k.\nAnswer: -7390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 716, 167, -1550, -4435, -8488?\nAnswer: -13709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611.3343l to millilitres.\nAnswer: 611334.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w = -8, 4*p + 2*w = 0. Which is bigger: p or 1\/262?\nAnswer: 1\/262","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -822269244.06 and -0.5.\nAnswer: -822269244.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-30 + (-4 - -21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 19*j + 30. Determine a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 4. Let v(s) = -s**2 + 3. Determine -3*t(g) + 4*v(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3\/(-6) + 1). Is (1259 + 35)*((-3)\/j)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 827, 568, 309, 50, -209, -468?\n\"Answer: -259*x + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1 (c) -1.1 (d) 7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107328113.9999939 - 107328127. Let r = -1.6 + -11.4. Let d = j - r. What is d rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 1}. Give prob of sequence iy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*f - 440*f - 48*f - 17088 = 0 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -529*b**3 + 5*b**2 + 18*b - 13. Is g(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 884*o**3 - 975*o**3 + 6*o**2 + 21*o**2 wrt o.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 596\/27 - 50\/675. What is the greatest common factor of 77 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 11*u = -700. Suppose -u*f + 753 = -3522. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/30 + 19*y**4\/6 + 55*y**3 - 5*y**2 - 350. Factor w(u).\nAnswer: 2*(u + 5)*(u + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397779 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -204, -231, -258?\n\"Answer: -27*p - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/3 - 94*j**4 - 11428*j**3\/3 - 127552*j**2\/3 + 155648*j - 327680\/3 = 0?\nAnswer: -80, -32, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 3534.8991?\nAnswer: 3534.8991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 + a**5\/20 - a**4\/12 + 7*a**3\/6 - 2*a**2 + 2314*a. Let h(z) = -z**3 + 2*z**2 - 2*z + 6. What is -4*h(w) + 3*l(w)?\nAnswer: w**3 + w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 7627206.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640*b**5 - 2836*b**4 - 472*b**3 + 2804*b**2 + 1112*b + 32 = 0. What is b?\nAnswer: -4, -1, -2\/5, -1\/32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a millennium?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18234000 rounded to the nearest 100000?\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**5\/60 + c**4\/4 - 167*c**3\/3 - 17. Let x(s) be the third derivative of h(s). Give x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 296 and 404521?\nAnswer: 3236168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 11*i + 4*i)*(294*i - 293*i**3 - 294*i).\nAnswer: 3223*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (744\/44)\/((-4)\/(-1)) and (-132)\/(-220) - (-626)\/140.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431 + -284. Let b = v - 1909\/13. Let z = 0.3 - 0.1. What is the third smallest value in b, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4 - 1\/4. Let i = 1331129 + -1331127. Sort -31, -3, i, m.\nAnswer: -31, -3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, 1\/3, 0, 2\/16911, 0.4, 120?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 736*f - 45. What are the prime factors of l(-52)?\nAnswer: 37, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - -34 - (-2 + -14 - 8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + 5*i**2 - 2*i**3 - 2*i**2 - 4*i**2 to j*i**2 + h*i**3 + y + b*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135136007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-250)\/1375)\/((-2)\/22) and 710.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 6*l**5\/11 - 30*l**4\/11 + 18*l**3\/11 + 30*l**2\/11 - 24*l\/11 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2662380 is divided by 283?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (2 + 1 + 14 - ((130 - -4) + -132))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0 + 8\/3*f**2 - 8\/9*f**4 - 2\/9*f**5 + 4\/9*f**3 - 2*f = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -877*w**3 + 2*w**2 + 33 wrt w?\nAnswer: -5262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125\/4 - -31. Let m = -3 - -2. Which is the second smallest value? (a) 4 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -681 or -692?\nAnswer: -681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18.7 * 293.53\nAnswer: -5489.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 - 11856*m**4 + 16*m**3 + 17580*m**2 - 239*m?\nAnswer: -120*m**2 - 284544*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*1)\/(sqrt(48)*1 + sqrt(48)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:22 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 134, 127, 108, 71, 10?\n\"Answer: -r**3 + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8984*z**6 + 10053*z**2?\nAnswer: -1078080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5\/5 - 107*m**4\/5 + 99758*m**3\/5 - 12599372*m**2\/5 + 449417528*m\/5 + 2005670944\/5 = 0.\nAnswer: -421, -4, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6. Let t be w(5). Suppose -2 + 3 = -d, 3*z + t = 2*d. Let b(q) = -q**3 - 12*q**2 - 16*q + 3. Is b(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) 0.86 (d) 14 (e) -3\/4 (f) -2\/3 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/60 + 112*l**2. Let v(w) = 6*w**2 - 72*w + 432. Let z(g) = 3*s(g) - v(g). Factor z(n).\nAnswer: -3*(n - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1432 - 1354.1. Let w = -78 + p. Which is the closest to w? (a) 0.05 (b) 1\/10 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26 + 5 = 0. Let i = n + -21. Suppose -14 = -3*l + i. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -2)*(-7)\/2 - -7. Solve 12 = 4*t - 17*d + 13*d, y = -5*t + 2*d + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i**2 - 9*i + 1. Let d(j) = -9*j**2 - 6*j + 1. Calculate -5*c(t) + 7*d(t).\nAnswer: 2*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 14*v + 34. Calculate j(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7029 + 7037.266. What is d rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 17*p - 63. Give m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26554087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*b - 170*b + 1620 - 1076 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 3 (b) -117 (c) 0.26 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1449 = 5*c - 500, -5*c + 1951 = 2*g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 79 - s)*(-2 - 1 + 1) + (-3*s + 0*s + 0*s)*(-1 - 2 + 0) - 5*s + 6*s - 7*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 + 3*h - 6. Let n(z) be the first derivative of z**2\/2 + z + 5. Let p(a) = -3*n(a) - r(a). Factor p(y).\nAnswer: 3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/3 - 4\/21. Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 15*f**2 - 29*f + 11. Let v be (-1)\/(-3)*(-507)\/13. Let w be i(v). Let a = -1\/10 + -3\/20. Do a and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l**3 + 11*l**3 + 0*l**2 + 8 + 17*l + 17*l**2. Let f be x(-16). Let y be -1*(3 + 1*f). Solve -j = y*t + 2*j + 3, j - 10 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:22 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1778 (base 12) to base 8.\nAnswer: -5414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(2016)*-1)\/(-3*(sqrt(112) - sqrt(7)) + 2*sqrt(112)))**2 + 1.\nAnswer: 41473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.167 - -5.167. Sort t, -0.1, -3, -2\/23 in increasing order.\nAnswer: -3, -0.1, -2\/23, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 103*v**4\/2 + 591*v. Let b(n) be the second derivative of n**3\/6 + 79*n. Determine c(b(z)).\nAnswer: 618*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:18 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3215 + 16076\/5. Which is the closest to 2\/93? (a) z (b) -0.01 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263 + 261. Let x = -59\/30 - -9\/5. What is the biggest value in p, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -11001?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 17 - (2 + 0 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 12*y + 17. Let c be l(13). Suppose 0 = -k + c*z + 138 + 67, -4*z = -20. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/81*6)\/((-3867)\/297 - -13)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 2\/9, -4, 505, -0.4, -106, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 3 - 6*b + 5*b. What is the least common multiple of (-4)\/(-6)*(-162)\/(-12) and r(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -5)*(-2 + 1). Let y = -3 + z. Solve -r - a - 8 = y, -2*a = 5*r - 0*a + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 2) + -1 + 3. Let n = q + 2. Let s = -4 + n. What is the nearest to 1\/4 in s, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.784 plus -19173?\nAnswer: -18966.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 896 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmckkmmdvc. Give prob of picking 1 k and 2 c.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*g - 5 + 12)*(2*g + 3*g - 3*g).\nAnswer: 4*g**2 + 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13332\/2828*(-5)\/((-25)\/35)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05305667 - 10365.\nAnswer: -10365.05305667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -14. Suppose 0 = 3*g + 2*f + s*f + 112, -4*f = g + 40. Let y = g - -189. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 100690672*a - 7603958570858688.\nAnswer: -(a - 151036008)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108369.24542 - 394.20842. Let t = 108061 - p. Let k = t - 86. Round k to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*i**4 - 2110*i**3 + 11352*i**2 + 35896*i + 9280 = 0. Calculate i.\nAnswer: -2, -2\/7, 8, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.667 - 0.333. What is the nearest to -12 in 2\/3, 2, l, 11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-239834)\/(-111))\/((-8)\/12). Is h at most -3240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caf when three letters picked without replacement from {u: 2, g: 3, a: 2, b: 3, f: 1, c: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/(d**(3\/7)\/d))**(7\/4) assuming d is positive.\nAnswer: d**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 171*v - 18. Let k be r(-1). Let j = 194 + k. Suppose 2*p = -2*p + 48. Solve 0 = -2*l + 5*l - 4*s - 3, j*l + p = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2357 - 2343 = -4*v, -4*v = 5*r + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2493, 2\/5 in decreasing order.\nAnswer: 2\/5, -4, -2493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 59 = 205*t - 1280 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + v**2 - 15*v - 7. Let f(g) = g**3 + g**2 - 8*g - 3. Let u(s) = 5*f(s) - 2*y(s). Is u(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1543\nAnswer: -6172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/5 + 6*k**3 - 267*k**2\/5 - 126*k.\nAnswer: 3*k*(k - 7)*(k + 2)*(k + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23879117323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(343) - 3*(-1 + sqrt(343) + sqrt(343) + sqrt(343))))**2*-3.\nAnswer: -65868 - 672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -344.861 - 0.13808\nAnswer: -344.99908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496987?\nAnswer: 163, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -9*q + 282. Let t = -82 - q. Calculate the lowest common multiple of t and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 8. Let h be (c + (0 - 3))*-90. Calculate the greatest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2086428689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -3. Suppose -4*h = -5*h - k. Is h greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 8. Let o be k(-11). Let m be 3 + -2 + o - -4. Suppose 0 = m*n - 7*n + 300. What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = 4*b, 2*b + a + 1 = -0*a. Let c = -3 + b. Let m = 117 - c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20035 (base 14) to base 10\nAnswer: -76879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96768 divided by -4032.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/216 and -31\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -147980 + -1.17?\nAnswer: -147981.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 199?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 33. Let s(p) be the second derivative of 0 - 1\/2*p**3 - l*p + 5\/2*p**2. Determine s(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11111110?\nAnswer: -100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/7 + 10*k**4 + 416*k**3\/7 - 3368*k**2\/7 + 6080*k\/7 - 3200\/7 = 0 for k.\nAnswer: -20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12223280.4 and -1646.696.\nAnswer: -12224927.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -19.8. Put j, 4, -2 in decreasing order.\nAnswer: 4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d - 18. Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -3\/2?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/19419 + 576101\/38838. Calculate the common denominator of y and (-133)\/(-6)*(-1)\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77572511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1431 + -545213\/381. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665509 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 6*l - 6. Is l <= 11\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.93 - 0.07. Let f = -79.4 + 68. Let q = f - -11. What is the closest to -2\/5 in q, x, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 2 (c) -2\/3 (d) -0.2 (e) -13.75 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 73 = 3. What is the highest common divisor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (26 + -7 + -9 + -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121915 is divided by 17415.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4026\/7 + -39833\/70. Find the common denominator of 13\/4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 51 = -o + 58, -18 = 3*o - 4*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2973 divided by -2973\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -11*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, 17 in decreasing order.\nAnswer: 17, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*b + 380 = 6*b + 138. Solve -3*z - b*o = -6*o - 27, -2*z = -4*o - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1.64\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11380995 and 63?\nAnswer: 79666965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0231 + -1585261.3.\nAnswer: -1585261.3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyhyyyyyyyyyyyh. Give prob of picking 1 y and 1 h.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 14 = -2*d. Let h be -4*(-6)\/40*10\/d. Solve -h*l = -6*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**5\/80 - r**4\/48 - r**3\/4 + 42*r - 38. Let p(j) be the first derivative of t(j). What is q in p(q) = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -21 - (-10 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 4384*m**2\/11 + 2428520*m\/11 + 28514400\/11.\nAnswer: 2*(m + 12)*(m + 1090)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6938 - 97025\/14. Find the common denominator of r and 13\/(-3*(-16)\/3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 16*w**2 + 45*w + 34. Calculate y(18).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2097*o + 5008*o + 7733*o - 352*o.\nAnswer: 10292*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urruurrmrmuurmmmuxm. What is prob of picking 1 r and 1 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 15) to base 12\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 10) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24255 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 5*w + 5, 3*c + 8*w = 12*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84455.\nAnswer: 5, 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from rvyvby?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.785 and 0.054.\nAnswer: -0.09639","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 8662 (base 11) to base 8\nAnswer: 26262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 36*g + 371. Let h be x(-44). Solve -3*l - h*l + 88 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36134783 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 466*b + 2421*b - 181*b + 3581*b - 630*b as k*b + p and give k.\nAnswer: 5657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -31, 10, 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/6 - 14*s**3\/3 + 74*s**2\/3 + 160*s - 1152.\nAnswer: (s - 18)*(s - 8)**2*(s + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20026 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9163\/10 + 918. Let j = 493579\/499278 - 9\/6401. Let o = j + -106\/13. Calculate the common denominator of i and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 + 11*z + 32. Let k be q(-5). Suppose -2*d + 5798 = 4*f - 26780, -k*d + 32584 = 2*f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 2122308*g + 1126047811716.\nAnswer: (g + 1061154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/44 and -23\/524?\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s + 5*s)*(-5*s**2 + 5*s**2 - s**2 + 1) + 6*s**3 - 4*s**3 + 4*s**2 - 2*s**2.\nAnswer: -2*s**3 + 2*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 281 + 41 = 0. Is 40 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 12*j + 17. Let l be a(-10). Let g = -91 - l. What is the greatest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20944588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43002 and 4981065?\nAnswer: 29886390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4, 4*q + 985 = 2*u - 413. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -94, -165, -264, -397, -570, -789?\n\"Answer: -m**3 - 5*m**2 - 27*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 11:00 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27841 is divided by 4232.\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 41*j**2 - 117*j + 10. Let d(h) = -19*h**2 + 54*h - 5. Let z(s) = 13*d(s) + 6*g(s). Determine z(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {q: 2, l: 2, g: 1, w: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.630967261 rounded to three decimal places?\nAnswer: -0.631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3302 = 10*j + 152. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.2 + -23. Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93977 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 11. Is (-10)\/35 + 583\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 1) + 2\/2. Let s = -879 + 881. Which is the nearest to 2\/3? (a) m (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198 + 19*u - 198)*(5 + 8 + 8)*(-2 - u + 2).\nAnswer: -399*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8946?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/(-10))\/((-2 - -6) + -3). Which is the fourth biggest value? (a) -0.1 (b) -4 (c) 0 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2332578 from -0.041515.\nAnswer: 2332577.958485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/11 or -2243?\nAnswer: -2243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.82 and -2.\nAnswer: 29.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 10, 30, 72, 142, 246, 390?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -563*l**4\/2 - 820*l**3\/3 + 630. Find the third derivative of s(x) wrt x.\nAnswer: -6756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-10))\/(12\/(-8070)). Let m = c - 3760\/7. Solve 8\/7*g**3 - 4\/7*g**4 + 0 - 2\/7*g + 4\/7*g**2 - m*g**5 = 0 for g.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**7\/1260 - z**4\/12 + z**2. Let c(l) be the second derivative of x(l). Let i(u) = u. Give i(c(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 3. Let q be k(8). Let u = -8 + q. Let n(d) = 4*d**2 + d**2 + d + u*d**2. What is n(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-69))\/((-3340)\/(-441715))\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311 + 645. Calculate the remainder when z is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*a - 651*a + 22*r - 78 = 0, -a + 2*r - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5 + 58191*n**4 - 58176*n**3 - 232764*n**2 + 232752*n = 0.\nAnswer: -2, 0, 1, 2, 19396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssrrwwssss. Give prob of picking 1 w and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 60 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27774982.33 rounded to the nearest 1000?\nAnswer: 27775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3. Let h(g) = 2. Determine h(n) - 3*p(n).\nAnswer: 3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1725.5 - 1726. Let i = -7 - -7.06. What is the fourth smallest value in -4, l, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -1\/6, -3, 4 in descending order.\nAnswer: 4, 0.03, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -105. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*x + 30, 4*j = -4*x - 0*x + 88. Let m = j - 16. Suppose 0 = -3*a + 2*s + 781, -3*a + 0*s + 761 = m*s. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 238929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(22)\/sqrt(2))*-5 + 5.\nAnswer: -5*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 1. Let w be 2 - (3 - 5\/(-5)). Let r be h(w). Solve r*d = 2 + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*o - 680 = 0, 5*n - 811 = -3*o + 39. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 0*n. Suppose n = -16*m + 10*m + 240. Let q = -41 + m. Which is bigger: -2\/17 or q?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146964602.\nAnswer: 2, 73482301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 15692.1927649?\nAnswer: -15688.1927649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 19. Let l(j) = -2*j + 10. Suppose 0 = -3*d - 5*r - 10, r + 2*r = -3*d. Let k(m) = d*l(m) + 3*o(m). What are the prime factors of k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 19. Let n be (-12)\/(-18) - (-350)\/6. Suppose q = -4*o + 140, 2*o + q - n = 13. Calculate the remainder when o is divided by w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226811 (base 9) to base 8.\nAnswer: 412074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 16*w - 8 = 18*w, 4*y - 2*w + 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2133.7, 132, -1 in descending order.\nAnswer: 2133.7, 132, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*c + 45 = 0, -38 = -v - 3*v + 2*c. Let q = -33 + v. Let z = 143 + q. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:26 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 3*v. Let q(f) = f**2 + 2*f. Let p(n) = 5*q(n) + 6*t(n). Let g(z) = -z. Let b(j) = 12*g(j) - 3*p(j). Factor b(k).\nAnswer: 3*k*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243736 minus 4889?\nAnswer: 238847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let k(a) be the first derivative of -37*a**3 + a**2 - 5*a - 259. Let r(s) = 3*s**2 - s + 2. Let z(u) = k(u) + 2*r(u). Determine h(z(v)).\nAnswer: -105*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 356302.3ng in tonnes?\nAnswer: 0.0000000003563023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 11 + 10 + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 8. Let p be l(7). Let s be -1 - ((-4)\/14 - p). Let j = 9\/8 + -11\/8. What is the closest to s in 2, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1929 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/60 - 2*m**5\/15 - m**4\/12 + m**3 - m**2. Let i be t(7). Let j = i + -137. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 7*d + 5. Determine l(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jnjjjjnjjjjjj.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2282 divided by -163\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 6874161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5701*p - 19861*p + 6900*p - 17963*p.\nAnswer: -25223*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 + -1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + z**2 - 2*z - 4. Calculate the remainder when y(-2) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 1 = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -121 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 - 149.2. Let p = 25 + k. Which is the third biggest value? (a) p (b) 3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -442406*d**3*w**3 - 2*d**2*w**3 - 131*d*w - 4761*d - 4*w**3 wrt d.\nAnswer: -2654436*d*w**3 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (-14 - (3 - 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**5\/5 - t**4 - 14*t**3\/3 + 20*t**2 - 24*t + 2758. Factor s(n).\nAnswer: 2*(n - 2)**2*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234 + 87. Let z = 147.0159 + y. What is z rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1c2?\nAnswer: 1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 180965 * -915.\nAnswer: -165582975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(68))**2*-4 - (5 + 3*(sqrt(17) + sqrt(17)*-1)).\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2\/7, -0.29, -0.09, -3 in ascending order.\nAnswer: -3, -0.29, -1\/5, -0.09, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*j**4 - 4*j**3 - 52*j**2 + 40*j.\nAnswer: 4*j*(j - 1)*(j + 2)*(4*j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8456.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {l: 2, n: 13, a: 3}?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 66 = 42. Suppose d = t*d + 225000. Round d to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.97 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 - 8*d + 7. Let i(p) = -5*p**2 - 7*p + 6. Let g(h) = -5*a(h) + 6*i(h). Give g(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65994 divided by -102\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1545*c + 52*c**3 - 1545*c)*(4 - 4 + 2*c)*(-3*c + c + c).\nAnswer: -104*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 4. Let d(q) = -2*q. Let l be d(3). Let u be k(l). Suppose -4*n = -u*x - 64, -5*x + 0 = 5*n - 50. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -16*p**3 - 8*p**2. Let a(c) = 15*c**3 + 8*c**2. Let z(v) = -3*a(v) - 2*x(v). Find the third derivative of z(h) wrt h.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*n - 25 = 0, 2*f = -5*n + 78 - 105 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713072363?\nAnswer: 139, 5130017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12 - 76\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 425 in -3, -23, -2\/7, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6)*8 - -161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -21*p**4 - 74088*p**2 + 15*p - 1 + 1\/10*p**5 + 1764*p**3. Solve k(h) = 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 16. Give m(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**3 - 17*j**4 + 0*j - 11*j**2 - 17*j**2 + 20*j**4 + 30*j**2 - j as d*j**2 + n + f*j**3 + t*j + l*j**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 2*n - 2, -3*d - 356*n = -358*n + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 9*n - 6. Let w(t) = -t**3 - 2*t - 1. Give -v(x) + 4*w(x).\nAnswer: -2*x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 3*q - 2*q + (-4 + 3 - 1)*(-106*q - 4738 + 4738) as v + x*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 700 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(10\/(-22))\/5*(-4 - -3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*p = -2729, -6*p = r - 3*p - 535. Does 148 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/30 + 6*h**2. Let l(w) = -57*w. What is f(l(x))?\nAnswer: 6498*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1573 = 56*c - 1461. What is the nearest to 0 in -4, 0.313, c?\nAnswer: 0.313","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 369422237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.212, 3\/8, -20\/47, 1, 1\/5?\nAnswer: -20\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, -1\/3, 1\/4, 7.83.\nAnswer: -1\/3, 1\/4, 4, 7.83, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 10*c**2 - 8*c + 23. Let o be 279\/31 + 0\/(-2) + 2. Calculate the remainder when h(o) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3356*c - 3181*c + 2328*c + 29463 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 8:01 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 + 14*h + 5. Let m be z(8). Calculate the common denominator of 69\/8 and ((-1)\/10)\/((-7)\/m).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 3. Let r(g) = 19 + 4*g - 3 + g. Determine -11*a(h) + 2*r(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t*w**3 - 8996*t - 26056*w**3 wrt t?\nAnswer: -w**3 - 8996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 165.36 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2866807 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2146 and 4?\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32050)\/200)\/(2*(-1)\/(-8)). Is (d - 0)\/(0 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*30\/(-4). Let u(x) = -4*x - x**2 + 4*x + t*x. Suppose 0 = 4*z + 5*c - 26, -4*c + 7 = -z + 3. Determine u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 460*(28\/24)\/(-7). Let i = v + 76. Sort -2, 2\/3, i in decreasing order.\nAnswer: 2\/3, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 157050 and 17450.\nAnswer: 157050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -100673588 equal to -100673588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/47802779 and 59\/11627703.\nAnswer: 430225011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9024 - 26830\/3. Let i = z + -80. Let b be -3 - 2\/(-2) - -2. What is the nearest to b in i, 5, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -433 - -445. Suppose t - c + 2 = -5*c, 0 = -4*t - 3*c - 8. Let f be (11 - 1)*(t + 8). Calculate the highest common factor of q and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 98576, 112829, 136584, 169841, 212600?\n\"Answer: 4751*u**2 + 93825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13910, -13933, -13992, -14105, -14290, -14565, -14948?\n\"Answer: -3*t**3 - 2*t - 13905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 182*a + 1867. Calculate v(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -2\/3 (c) -0.03 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 78*k**2 + 2. Let l(x) = -x + 60. Let p(v) = -2*v + 200. Let m(q) = -10*l(q) + 3*p(q). Give o(m(s)).\nAnswer: 1248*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scqqqvsqcqvqqvqsqqcc. Give prob of picking 2 s.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**6\/10 - w**4\/4 - 7*w. Find the third derivative of u(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64683831?\nAnswer: 3, 21561277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -137, -442, -1035, -2012, -3469?\n\"Answer: -16*g**3 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826588.7g to kilograms.\nAnswer: 826.5887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 2*a. What is o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 976602 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10658 is divided by 2131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0 + 60\/12. What are the prime factors of g\/10*(-10)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -17 (c) -1 (d) 1\/9 (e) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/7, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 9. Let a be d(9). Let h(y) = 4*y + 2*y**2 - 12*y**3 - 5*y + 4*y + 1. Let n be h(-2). Calculate the greatest common factor of n and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32 = -4*p, -5*l - 4*p = -3*p - 28. Suppose -3*z - 9*m - 3 = -4*m, -4*z + l*m + 31 = 0. Solve 0 = 4*a - z*s - 32, 0*a - 5*s + 10 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 - 71*u + 4. Let l(j) = -5*j**2 + 69*j - 3. Let f(y) = 4*l(y) + 3*p(y). Let b(r) = -4*r. What is f(b(c))?\nAnswer: -32*c**2 - 252*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 - 4*g**3 + g**3 + (-2*g + 5*g - g)*(0*g - 2*g**2 + 0*g) + 2*g**3 - 4*g**3 + g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*y**4 + 3 - 7*y**4 - 5*y**4 - 5*y**4 + 820*y**3 - 8*y**2 + 27*y**4 wrt y.\nAnswer: -24*y + 4920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p + 70*p = 5. Suppose 2*u = 2*w - 2*u - 10, -u - 20 = -4*w. Solve -w*x = 6 - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152\/5 - 436\/15. Let m*a**3 - 2\/3 + 4\/3*a**2 - 2\/3*a**4 - 2\/3*a - 2\/3*a**5 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5132 - -2509. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 9*v.\nAnswer: v*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 117*m**2 - 4596*m + 206. Calculate s(31).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49279, 197495, 444523, 790363, 1235015, 1778479, 2420755?\nAnswer: 3161843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(1\/((-9)\/(-1))). Let m = -3 + v. Let j be (-52)\/7 + m\/(-42). Is -8 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 10. Let k(y) = -y**2 - 8*y + 7. Let r be k(p). Suppose 40 = r*f - 3*f. What is the remainder when 28 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1284, 2712, 4138, 5562, 6984, 8404, 9822?\n\"Answer: -w**2 + 1431*w - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 6. Let t be m(5). Let j be (t\/(-2))\/((-3)\/(-2)). Let q = 12 - 11.5. Which is the closest to j? (a) -1\/9 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882.351 rounded to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:08 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(4\/3)*n*n*n*n))\/(((n*(n*(n*n*n**1*n)\/n)\/n)\/n)\/n*n*n))**(-16\/7)\/((n**(-2\/3))**(-18))**(-2\/21) assuming n is positive.\nAnswer: n**(424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2922353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 59982 = 3*x, 0 = -5*h + 7*h + 3*x - 23997. Let o = h + -6868. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90149871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*k = -30, -105*k + 100*k = -5*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2\/3, 3, 36\/5, -4?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 9 = 3*r. Let p be 1 - r\/(-1) - -4. Sort p, -1\/7, 2\/9.\nAnswer: -1\/7, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y + 2. What is the units digit of l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -161 - 3?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-28)*p**(-7) assuming p is positive.\nAnswer: p**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13912*1\nAnswer: 13912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 4\/7 (b) -4\/7 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2356659299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15 = -3*w + 2*m, w - 3*m + 10 = 0. Suppose 4*p + 3*z - 158 = 0, 3*p - 116 = -w*z - 3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -13.5. Let j = i - -2. Let f = -70\/3 + 356\/15. Which is the third biggest value? (a) -2 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 2*g - 9. Let z(c) = 17*c**3 + c**2 - 8*c - 36. What is 9*p(b) - 2*z(b)?\nAnswer: 2*b**3 - 2*b**2 - 2*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 120, 178, 236?\n\"Answer: 58*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 29. Let c(j) = -j**3 - 3*j**2 - 3*j + 7. Let b be c(l). Let s = 66 + b. Calculate the lowest common multiple of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3985012*j - 24. Let i be l(-2). Round i to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b*q**4 - 6373*b*q**3 + 4444*b*q**2 + 162*b*q + 3*q**4 wrt q.\nAnswer: -120*b*q - 38238*b + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-8) + -2)*2. Suppose 19 = 4*r + n. Solve 5*c = 2*c - 4*h - 16, r*c + 20 = -5*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -380*m**3 + 34*m**2 + 80*m + 39. What is the units digit of s(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 - 5*k - 2. Let p(f) = 9*f**2 + 11*f + 5. Let v = -15 + 12. Give v*p(n) - 7*l(n).\nAnswer: n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1302\/179, 2\/5, -2\/9, 2, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131914, 527658, 1187234, 2110642?\nAnswer: 3297882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + 0.3. Let g = 65\/12 - 17\/3. Which is the smallest value? (a) -1\/5 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w**3 - 4*w**2 + 14. Let t = -89 + 92. Let o(x) = 3 - 5*x**2 + 4*x**2 + 0*x**3 - 5*x**3 + t*x**3. Let c(i) = 28*o(i) - 6*v(i). Factor c(a).\nAnswer: 4*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4.98. Let u = o - 1.02. Which is the nearest to u? (a) -3 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - x + 326 = 4*j, -5*j + 3*x + 534 = 0. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6}. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2195 + 10011. What are the prime factors of h?\nAnswer: 2, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2146 and -53\/9?\nAnswer: 19314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x. Suppose k - 3 = -x. Solve 0 = 5*j + k*s - 4*s + 13, 0 = -5*j + 2*s - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loolploolopol. Give prob of sequence ll.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 6:43 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-1*sqrt(12)))**2 - -3*(-1 + sqrt(5)).\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -242, -364?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 66 = -6*i, -5*i = -5*g - 63 - 12. Solve 61*f = 64*f - i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.02, 0.05, -6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 + 9250*s**4 + 74046*s**3 + 166628*s**2 + 148123*s + 46290.\nAnswer: -(s - 9258)*(s + 1)**3*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1*y)**14\/(y*y**(1\/8)*y*y**(-3)))\/(y**(-4\/3)\/y**(3\/4))**28 assuming y is positive.\nAnswer: y**(2429\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 7*i**2 - 2*i - 3. What is b(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 - 138. Let l be 3*(3 - (-130)\/f). Let w = -3.24 + 0.24. Which is the second biggest value? (a) l (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbs when four letters picked without replacement from nlbtblsbnb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125836*t = 125939*t + 412 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 2. Let j = -9 + i. Which is the smallest value? (a) 2 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3561276 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17827*m**3 - 5974*m**2?\nAnswer: 106962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/110 + 600\/33. Let j be 1\/3 + w\/(-54). Factor 1 + j + 2*p**3 - 5 - 6*p.\nAnswer: 2*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -55. Find the common denominator of -51\/4 and (6\/f)\/(4\/(-339)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 8*f**2 - 18*f - 10. What are the prime factors of k(8)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 72*y + 72*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3832*g**2 + 2388*g wrt g.\nAnswer: 7664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/10749? (a) -2 (b) 16 (c) -728 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c - 205*c + 12386 = 201*c + 205*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -19 - 77. Suppose -x + 12 = -7. Let j = x - 7. Calculate the smallest common multiple of j and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:26 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(21\/6)\/(-7). Differentiate f - 6*f + 4*f + w + 2 with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, -155, -248, -371, -536, -755, -1040, -1403?\n\"Answer: -2*l**3 + 3*l**2 - 70*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**11*s)\/s)\/(s**10\/s))**28)**(-6\/7) assuming s is positive.\nAnswer: s**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -17\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -27*a**2\/2 + 77*a\/2 + 6 = 0?\nAnswer: -4\/27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (13 + (2 - (-5 + 6))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33232 + -3?\nAnswer: -33235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 2*t - 6, -4*c + 3*t = -0*t - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 + 891 = -99*c - 1151. Sort c, -2, 5, 7\/5, -1\/5.\nAnswer: c, -2, -1\/5, 7\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 1311 + 481 = 0. What is the remainder when 102 is divided by (3\/((-36)\/39))\/((-8)\/l)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by ((-1)\/(-4)*6)\/((-2)\/(-36))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3073 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 80\/(-360) - 344\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - -1)\/((3774\/(-136))\/(-111))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 160*p**3 + 3*p**2 + p + 27. What is the tens digit of c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((28\/468)\/7)\/(5\/(-450)*-10)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7*d = -2*d + 35, 0 = -5*d - 25. Let r be 0\/j + 2\/(4 - 2). What is the closest to 0 in 3, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 173*r**2 + 6224*r + 162. Calculate x(-122).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-9)\/(-2))\/(1\/2). Solve d*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (22 - 0) - (119 + -130)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-q + q - q)*(-17*q + 14*q + 9*q).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -19. Suppose -5*k = a - 6 - 9, 5*a + 5*k = 115. Suppose -3*l = -8*l - a. Is m not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**36\/(m\/(m*m*m**(1\/2)*m))**(-14\/9))**(1\/21) assuming m is positive.\nAnswer: m**(289\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:14 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-103 - -108) + (12 - -8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(143) - (sqrt(143)*-2 + sqrt(143) + sqrt(143))) - sqrt(143) - sqrt(143))\/((sqrt(264)\/sqrt(6))\/sqrt(4) + sqrt(11))*-5.\nAnswer: 35*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*b - 3)*(-2*b + 5*b - 4*b)*(25 - 17 - 19).\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/4 + 14*r**3\/3 + 33*r**2\/2 + 4*r + 55. Let c be m(-11). Sort c, 1\/4, 3 in decreasing order.\nAnswer: c, 3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2554 = 3*r + 4*u + 903, 5*r + 3*u = 2748. List the prime factors of r.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*b - 88*b + 30 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2, 1, 1.84?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309860, -619711, -929552, -1239377, -1549180, -1858955, -2168696, -2478397?\nAnswer: -2788052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, n: 4, i: 6}. Give prob of sequence bb.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z - 1. Let k(q) = -10*q**2 + 10*q - 8. Let y(o) = 18*j(o) - 2*k(o). Let d be y(2). Suppose 4 = d*x - 2. Solve 0 = u - x - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 + 18*i + 43. Let l be c(0). Calculate the greatest common factor of 54 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukj when three letters picked without replacement from {k: 5, f: 1, u: 1, c: 1, j: 4, t: 1}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 2 + -9 + 1. Let y(h) = h + 8. Let c be y(x). Let j be -3*(3 - 4\/1). Solve c*o + 5 = j*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 237, -2\/9, -6, 4, -0.689 in ascending order.\nAnswer: -6, -0.689, -2\/9, 0.4, 4, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493029440 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*r + 8 = -5, -3*r = -3*f + 3. Suppose 23 + f = 4*n. Is 7 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (-141)\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 181, 363, 545?\n\"Answer: 182*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -1 - (13 + -8 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-2 + 1\/3*9)\/(5\/4095)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -59.1. Let g = -10.3 - n. Let y = 5 + g. Which is smaller: -1\/4 or y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/3 + 4*q\/3 - 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (3 - -3 - 28) - (-2 + 14 + -64)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/60 + 2*x**3\/3 + 2*x. Let b(u) be the second derivative of n(u). Let h(s) = -4*s. What is h(b(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (242\/(-1694))\/((-41)\/42 - (5 + 44\/(-8)))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 90 = -2*f + 124, 0 = 3*f + 4*d + 68 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/14 + 6\/21. Suppose b - y = 2. Calculate the smallest common multiple of 6 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -6. Suppose 5*m + j = -5, -l*m - 7*j - 20 = -3*j. Suppose m = -0*y + 3*y - 12. Solve y + 0 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -19957*x**2 + 19*x. Let w(s) = -24947*s**2 + 24*s. Give -14*q(y) + 11*w(y).\nAnswer: 4981*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196611 is divided by 204?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -415*w + 151. Does 139 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96502, 94087, 91672?\nAnswer: 89257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 1 - 3 - 6*i to the form s + m*i and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(((n**(3\/2)*n)\/n)\/n)*n)\/n)\/n)\/n)**(-12\/11)*((n\/(n\/n**(-2\/15)))\/n*n*n*n*n*n)\/n*n**(2\/11))**13 assuming n is positive.\nAnswer: n**(10049\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 3 - 3) + (-4 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207\/418 - -12\/19. Let n(k) = 133*k**3 + k**2 - 4*k - 5. Let o be n(-5). Let u = o - -298679\/18. What is the common denominator of i and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from {z: 2, i: 1, l: 6, n: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66440\/(-6795) + 4\/(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 + 2.39989. Round y to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -i, 3*r + 0*r - i = 0. Suppose -5*m - 23 + 3 = r. Put m, 4, 2 in decreasing order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 22*d + 1\/2*d**3 + 0 + 12*d**2 = 0.\nAnswer: -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(539)*1)**2 + sqrt(11) - sqrt(11) - sqrt(11) - sqrt(11) - (1 + sqrt(539))) + 0.\nAnswer: -9*sqrt(11) + 534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9290, -36193, -81040, -143837, -224590?\nAnswer: -323305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 421802935 and -4.\nAnswer: -1687211740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-121)*-2)\/(16\/(-22)*(-99)\/(-132))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -63. Let r = 54 + w. Calculate the remainder when 150 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*g**3 + g**2 - 17*g**3 - g**2.\nAnswer: 71*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686295780.\nAnswer: 2, 3, 5, 17, 659, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*a - 236, 2*a + 0*a = -3*c + 364. Let y = c + -85. Let s = 320 - 40. What is the greatest common factor of s and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3129520 to the power of 1\/2, to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/28 + 2*t**3\/7 + 9*t**2\/14 - 22*t. Find f such that h(f) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 938 - 936. What is the closest to -1\/6 in -1.1, u, 0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14798 + -14793. Solve -31 + 36 = -c*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2\/3*w**2 + 0 + 0*w - 1\/3*w**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(84)\/sqrt(108) + ((sqrt(336)*-1)\/sqrt(8))\/sqrt(6).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7782, -7078, -5916, -4296, -2218, 318, 3312?\n\"Answer: 229*n**2 + 17*n - 8028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-151 + 138 - (-3 + -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f - 1. Let g(u) = 7*u**3 - 5*u - 8. Let c(l) = -l + 2. Let b be c(-8). Suppose 2*j = b - 18. Let h be j - -2 - 9\/3. Give h*m(q) + g(q).\nAnswer: 2*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12155, 24313, 36467, 48617?\n\"Answer: -2*l**2 + 12164*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 101*z - 2. Let o be u(6). Suppose -o = -4*i - 2*j + 5*j, 758 = 5*i - 3*j. Let r = -613\/4 + i. Is 0 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2800 and 87\/230?\nAnswer: 64400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220129539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1094148?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**5\/60 + k**4\/8 + k**3 + 41*k**2. Calculate g(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 2*h**3 - 5*h + h**3 + h - h + (1 - 5 + 2)*(2*h**2 - 2*h**2 + h**3) + 2*h**3 + 13*h - 5*h**3 + 4*h**3.\nAnswer: -2*h**3 + 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 10*y - 9*y + y**3 + 0*y to q*y + c + l*y**2 + f*y**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36091141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150628?\nAnswer: 2, 37657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49815 and 3075.\nAnswer: 249075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -35209.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 8 - 4 = -2*f + 3, f + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-90)\/(-420))\/((-9)\/(-12)))\/(4\/70). Solve 115 = -18*s - w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from zrwrmrmrrrrz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*t - 9 = 0. Suppose -g = -1 - 1. Solve -t*i - 15 = g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -0*g. What is the derivative of -g + c - 3*c + 6 + 5*c wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(27) + (1 + sqrt(243))**2 - (-5*sqrt(168)\/sqrt(7))\/sqrt(8).\nAnswer: 29*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 62. Suppose -4*s - 148 = -b, 289 = h*b - 4*s - 195. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36, -57, -100, -171, -276?\n\"Answer: -h**3 - 5*h**2 + h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3136*c - 7517*c**2 + 3136*c + 7515*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/50*(6\/(-4))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -42, -50?\n\"Answer: -8*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19993*p = 20511*p + 2072 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p + 140. What is x(-23)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408315 and 7.\nAnswer: 2858205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128.037 - -0.037. Let r = l - -157.4. Let q = r + -29. Which is the third biggest value? (a) q (b) -1 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(10)*5 + sqrt(10)*-1*1)\/(sqrt(18) - ((sqrt(450) + 2*sqrt(450) - sqrt(450) - sqrt(450)) + sqrt(450) + sqrt(450) + sqrt(18))) + -5)**2.\nAnswer: -4*sqrt(5)\/3 + 1129\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1896 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/5 + -3 + 0. Sort -0.06, w, -0.3 in ascending order.\nAnswer: -0.3, -0.06, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 0.1 (b) 2\/171 (c) 1 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3313241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 7*h - 5. Suppose 2 = z - 1. Suppose z*y = -2*y + 30. Let a be v(y). Solve 4*s = 2*j + 6, 6*j + 4*s - a = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 9*g + 14. Determine l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 32*c - 31*c - 483 = -465, 2*c = 3*z + 31 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11452*j - 67. Is 9 a factor of z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5\/((-15)\/(-14)))\/(118\/4425) and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/2 + 2197*i**2\/2 - 5378*i - 223584 = 0 for i.\nAnswer: -12, 17, 2192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 75. Let j(l) = -4*l - 3. Is j(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1326658 and 2.96687.\nAnswer: 1326660.96687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/9 + 52\/63. Let a = -1762\/91 - -93295\/4823. Calculate the common denominator of r and a.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 5. What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-420)\/(-280))\/((-18)\/8). Sort -23, b, 2, 0 in descending order.\nAnswer: 2, 0, b, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 3*r - 29. Let d = -24 - r. Let n = 13 + d. What is the remainder when n is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 18 = -413*d + 414*d, -x - 10 = 5*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 6. Let i(q) be the third derivative of -q**5\/12 + q**4\/8 + 3921*q**2. What is p(i(u))?\nAnswer: 20*u**2 - 12*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {w: 4, f: 8, x: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36124.02 and -0.82.\nAnswer: 29621.6964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -78 and 17594?\nAnswer: 17672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (6 + -4 - -3) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/20 and 238\/112 - (5 - (2 + -1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 65186402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from eeheegeegegegh.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 783 + -787. What is the nearest to 16 in 0.2, -0.2, -2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 2. Let s be c(-3). Suppose s*u + 5 = -5. Put -3, 5, u in descending order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34873*m + 17437*m - 206*m**2 + 17436*m - 22 as t*m + f*m**2 + i and give f.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 41 + 15 = 3*x, x - 6 = -2*o. Suppose -o*q + 49 = -99. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 1 - -24 - (8 - -13) - 6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 4314 - 2952. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/9 - 32\/(-6). Suppose 5*s - 3*j = j + 62, -5*j = 2*s - u. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 536666777 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = 3*o - 869, 2*t + 293 = o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1049059\/100 + 221616\/25. Let u = j + 1625. Find the common denominator of 67\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92587.2349 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, -3, -1\/2, 26 in descending order.\nAnswer: 26, 0.2, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/76 and -19\/18.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 2*a)*(-5 + 4 + 2) + 2*a + a + a + (92 - 55*a - 92)*(-2 + 4 - 4) - 2*a + 1 - 1.\nAnswer: 113*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*a = -23, -2*m - 17 = 444*a - 441*a for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f - 713 + 713 - 5*f**2.\nAnswer: -5*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -14*k. Let s(g) = -6*g**2 - 4*g. Calculate q(s(v)).\nAnswer: 84*v**2 + 56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**2. Let n(q) = -6*q + 4. Let p(b) = -13*b + 9. Let o(z) = -9*n(z) + 4*p(z). Calculate k(o(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -6. Find the first derivative of 0*z**4 - 13 + n*z**4 + 14 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.255 less than 164253959?\nAnswer: 164253944.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 565780 and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d = 96*d + 3, 20 = k + 2*d. Let i(r) = 2*r**3 - 27*r**2 - 12*r - 26. Give i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 10:10 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2. Suppose -21*s + 27*s + 12 = 0. Let g(d) = 6*d**3 - 14. Give s*g(q) + 14*k(q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1. Let h = -9 - -14. Suppose h*x + 20 = 0, x + 7 - 23 = -4*r. What is the second biggest value in r, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 3*(-52)\/(-6). Let j = -3 + 6. Suppose -3*d = -j - o. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-1)\/c)\/c*(c\/(c\/(c*c**(-2\/9))))\/c*(((c\/c**(2\/9))\/c)\/c)\/c**(-6))\/((c*c**(-1\/4))**(-2\/31))**(5\/2) assuming c is positive.\nAnswer: c**(4103\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 26*s - 1373. Let r be c(53). Solve 84*o - u - 6 = 81*o, r*u = -2*o - 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/3, 20, 2\/11 in decreasing order.\nAnswer: 20, 2\/11, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 10*q**2 + 2*q + 54. Let x be f(9). What is the remainder when 21 is divided by x\/12 + 395\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4016324 - -234?\nAnswer: -4016070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Let l(x) = -x**2 - 4*x + 7. Let g be l(-5). Determine v so that -v**g - v + b - 3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5650 and 41450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -107*m**6\/720 + 17*m**5\/20 + 11*m**4 + 128*m - 2. Let v(n) be the third derivative of d(n). Differentiate v(o) wrt o.\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (6*((sqrt(77) - (sqrt(77) - (sqrt(77)*-1*-3 - sqrt(77))))*2)\/(sqrt(891) + ((sqrt(891) - sqrt(891)*-1) + sqrt(891))*6))**2)*-1.\nAnswer: -448\/3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-5)*11 - 0. Let t = 35 + m. Suppose 1356 = -18*x + t*x. Is x a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4561 rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275912.\nAnswer: 2, 7, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 80 (b) -5 (c) 3\/4 (d) 3 (e) 2\/9 (f) 20082\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauuandudaa. What is prob of sequence da?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lble when four letters picked without replacement from ccelclcbblbclc?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -491 - -497. Let g(z) = -z**3 + 6*z**2 - 12. Give g(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 - 7*o + 5447. What is the ten thousands digit of j(70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2 - 7. Suppose 3*o - 3*x - 6 = 0, o - v*x + 2 = 2*o. Calculate the lowest common multiple of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1289 - -2285. Suppose -32*o + r = -924. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2917, 7.\nAnswer: -1, 7, 2917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13) + -3 - sqrt(52)\/(sqrt(4) + sqrt(8)\/sqrt(2))) + (-1 + sqrt(65)\/sqrt(500))**2.\nAnswer: -187\/100 + 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.82 + 1.82000094. Round z to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -129, -195?\n\"Answer: -66*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.38 - -17.28. What is the smallest value in 2\/11, -11, j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(3\/(-24)). Let u(p) = -2*p - p + c*p. Let q(z) = 2 - 47*z**2 + 14*z**2 - 2 + 25*z**2. What is u(q(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/((-42)\/39) + 3 + 0. Let o(m) = 10*m**2 + 35*m - 13. What is the units digit of o(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 3700*x - 36844. What is n(10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 47?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1443*c + 3801*c + 7723 - 205795 for c.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56904768 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*i**3 - 129*b**2*i*o + 17*b*i**3*o + 6*b*i**2 - 3*b*o wrt b?\nAnswer: -4*i**3 - 258*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106\/3 + 1172\/33. Let n = -23 - -7. Let x = n - -17. What is the closest to -5 in -2, x, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2. Let f(l) = -l - 2. Let c be f(-5). Let o(q) = -2*q + 6*q - c*q + q. Calculate b(o(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4923)\/547*((6\/(-1))\/6)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/42*(-551 + 547). Let s = -0.07 - 0.06. Let t = s - 4.87. What is the second smallest value in t, -3\/2, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313033 (base 4) to base 14.\nAnswer: -1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.7 (b) -0.1 (c) -4.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5bb97498 + 2?\nAnswer: 5bb9749a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (1125 - 1092)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55880 and 880?\nAnswer: 111760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 11. Determine r(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2. Let g(z) = 360*z**2. Give k(g(c)).\nAnswer: 259200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-30))\/(44\/22).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 72223.888 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*z - v - 2*v, 0 = -3*z - 5*v + 51. What is the greatest common divisor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -316. Suppose -x = -2*d + n + 76, 5*d = -x + 554. Suppose 3*t + 2*m = 5*m + d, 3*t + 5*m = 119. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -652.8 * -17317\nAnswer: 11304537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - (-20 - -10 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122021212111 (base 3) in base 4?\nAnswer: -1103011330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyyeyy. What is prob of picking 1 e and 1 y?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 111.84. Let g = c + -3.83747. Round g to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76164931, 76164925, 76164917, 76164907, 76164895, 76164881, 76164865?\nAnswer: 76164847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (18\/35)\/((79182\/1484)\/249)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27859 - 882*t**4 - 27859)*(-2 - 2 + 5)*(-2 - 1 + 4).\nAnswer: -882*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 1, c: 3, y: 5}. Give prob of sequence hc.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4)*3.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83489.\nAnswer: 7, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 18. What is j(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -0.3 (c) 0.1 (d) -2 (e) 0.15 (f) 1\/784\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46241408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1670, -6680, -15032, -26726, -41762, -60140?\n\"Answer: -1671*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + (22 - -13) - 19) + -16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.45 times -0.273161?\nAnswer: -1.21556645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -31*r**3 + 3*r**2 - 4*r + 4. Let w(s) = s**3 - s + 1. Determine d(y) - 4*w(y).\nAnswer: -35*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117729886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (119 + -118)\/(2\/10). Solve 0 = -j*v - 4*t + 28, 0 = -4*v + 83*t - 85*t + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/3)*q*q)**39)**(-17) assuming q is positive.\nAnswer: q**(-1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7610\/400 + 1 - 20.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1189*l - 30971. Give h(26).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 18*y - 46. Let d(l) = l**2 + 9*l + 23. Let n(k) = -5*d(k) - 3*v(k). Let r(b) = 6*b - 12. Let c be r(0). What is the units digit of n(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 583, 1309, 2325, 3631?\nAnswer: 5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4117276, 4117274, 4117272, 4117270?\n\"Answer: -2*q + 4117278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-4)\/2 - -1. Suppose 2*q = -o*q - g + 13, 4*q + 4 = 4*g. Solve 0 = q*m - m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56*i**4 + 1969 + 61*i**4 + 2*i**4 + 59*i**4 + 4239 wrt i?\nAnswer: 712*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 234\/624 - (-1413)\/8. Let a(o) = 392*o**2 - 2*o - 1. Let j be a(-1). Let s = j - y. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4338808 and 976.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + d + 2. Let z be i(-2). Suppose -z*a + 2*u = -20 - 108, 0 = 4*a + u - 128. Suppose -4*w + a + 92 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1, -3, 0 in ascending order.\nAnswer: -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1542235, 3084468, 4626701, 6168934?\n\"Answer: 1542233*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339 + 338.9998104. Round a to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*w**3 - 18*w**2 - 49*w**3 + 92*w**3 in the form k + q*w + m*w**2 + r*w**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6 - 2. Solve 2*v + k = -0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - 2*x**2 + 2*x**2)*(-683 - 9*x - 670 + 1337).\nAnswer: -54*x**3 - 96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/5 - 597*z**3\/5 + 95753*z**2\/5 - 788751*z + 47896758\/5 = 0. What is z?\nAnswer: 27, 182, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4 - 4)*(6*t**2 - 4*t**2 - t**2) + 53*t**3 + 92*t**3 - 35*t**3.\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2559 and 485357?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4768*n**3 + 447*n. Let o(t) = 159*t**3 + 15*t. Determine 149*o(i) - 5*w(i).\nAnswer: -149*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.82 to zero dps.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295*k**2 - 4852*k wrt k?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153512 + 244728 = 38*a. List the prime factors of a.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-15)\/12375*15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 8*s**2 + s + 14. Suppose 159*v + 234 = 198*v. What is o(v)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 310*k**2 - 58*k + 31. Is o(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 5. Let z be w(4). Suppose 6 = 3*g + 3*t, g - 5*g + 12 = 2*t. Sort z, 0, g in descending order.\nAnswer: g, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:23 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8 - (111 - 106)) + -28 + -1 + 8\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2214?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/581 - -2953\/27888. Let t(r) be the second derivative of -5\/16*r**5 + w*r**4 + 2\/3*r**3 + 1\/2*r**2 + 12*r + 0. Find u such that t(u) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49601 and 268656.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-60)*6\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3926*c**3 - 10*c**2 + 18*c - 4. Let n be b(-18). Round n to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + 2*o**2)*(-9*o**2 - 6*o**2 + 10*o**2).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719868.6mm to meters.\nAnswer: 719.8686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 952 * 0.7\nAnswer: 666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4127 (base 8) to base 10\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3685 divided by -5?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -20*s**2 + s. What is c(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23922624 and 12?\nAnswer: 23922624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 2*d**7\/105 - 3*d**5\/100 + d**4\/60 - 2*d - 3. Let r(m) be the first derivative of g(m). Let r(o) = 0. Calculate o.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 0.4, -1\/6, -3 in ascending order.\nAnswer: -3, -1\/6, 0.3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 4*y**3 - 2*y**3 + 73*y**2 - 73*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z - 15 = -5*c, 9 = 3*c + 4*z. Solve 3*y - 6 = -g, 4*g + 2 = c*y + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -2*p**6\/5 + 5*p**5\/12 + 7*p**2 + 6. Find the third derivative of l(c) wrt c.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:39 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -227\/285 - -34\/57. Which is the biggest value? (a) -1.4 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 55 + 56 + 5*b - 9*b + (67 - 9*b - 67)*(3*b + 0*b - 2*b).\nAnswer: -8*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5176 + 5176 + 332*f**2 in the form d*f + l + q*f**2 and give q.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1667640669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1227*a**4 + 24*a - 3.\nAnswer: -14724*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 4, 324552, -3.\nAnswer: -3, 4, 104, 324552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 17 = -5*t + 12, 0 = 2*t - 4*f + 4. Let w(k) = -4*k**3 - 3*k**2 + 3*k. Let y be w(2). Let h be y\/(-4) + (-3)\/6. Solve 0 = -c + t*c - h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-15) - 2\/(-2). What is the closest to 2 in h, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.3, -3.54, 0.1, 2, 6\/7, -2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*r + 4783, 11 - 7 = -4*a. List the prime factors of r.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0964 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/9))\/((d*d**(3\/7)\/d)\/d*d)*(d**(2\/3))**(-20) assuming d is positive.\nAnswer: d**(-790\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1269 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 1. Let q(a) = -44986*a - 539838. Let k be q(-12). Sort 4, k, -1\/7, d in descending order.\nAnswer: 4, d, -1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17695 and 2.15?\nAnswer: 38044.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82826429729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3090475 to the nearest integer?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 28 = -4*z, -5*y - 10 = 27*z - 22*z. Let q be (1 + 1)\/(10\/10). Solve -q = h - z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.5922 kilograms in nanograms?\nAnswer: 445592200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1058, -2118, -3180, -4244?\n\"Answer: -p**2 - 1057*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5))\/sqrt(6) + -3*sqrt(15)\/sqrt(5) - ((1*sqrt(363) - sqrt(363)) + sqrt(363) + sqrt(96)\/sqrt(2) + sqrt(48) + sqrt(3)).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52783133 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 17. Let q be p(3). Let a(w) = 5*w**3 - 6*w**2 + 2*w - 4. Let r(g) = g**3 - g**2 + g - 1. Let f(b) = q*r(b) - a(b). Determine f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -0.02.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 11*o**2 - 4*o - 2. Let x be f(9). Let s = -387 + x. Let b = 491 + s. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + (-22)\/4 + (-9)\/(-2). Suppose -f + 5 = 0, n*k - 112 - 3 = f. Solve -4*d - 4 + k = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 92. Suppose 0 = 4*t + 5*v - z, -4*t - v = -2*t - 26. Let f = t - 6. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 13092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 k when four letters picked without replacement from {p: 3, k: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 416 = -5*y, 0 = y + 5*g - 7 - 72. Let h(o) = y*o - 117*o + 50*o. Let j(p) = -3*p**2. Determine h(j(k)).\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u - 45. Calculate q(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23532 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*k + 82 = -73, 2*u - 4*k + 58 = u - 2*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10341.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3))**(3\/8) assuming q is positive.\nAnswer: q**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32338237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 304024 (base 5) to base 8\nAnswer: 23241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h = -15*h - 15870. Suppose 3*z - h = -2*a + 67, 1014 = 4*z + 5*a. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + 20 + -27 + 0 + -27.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naha when four letters picked without replacement from hanahaaan?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7136 and 223.\nAnswer: 7136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-385)\/66*((-23)\/(-115))\/(-5 + 6)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**4\/12 + 4*p**2. Let z(i) = 12*i**2 + 11*i - 11. Let w(g) = g**2 + g - 1. Let c(u) = 22*w(u) - 2*z(u). Determine l(c(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 7*p = 4*q + 207, 0*q - 7*q + 2*p = -3*q - 56 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x - 27*x = r - 68, 7*r + 3*r + 2*x - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/9 + (-1)\/3. Let r(h) = -h**3 - 4*h**2 + 3*h + 10. Let b be r(-4). Sort x, 0, b, 5.\nAnswer: x, b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350)*1)\/sqrt(7) + (sqrt(50) - sqrt(50)*-2*-4))\/(sqrt(10) - (sqrt(10) - sqrt(160)*6) - sqrt(50)\/(-3*sqrt(5))).\nAnswer: -18*sqrt(5)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, c: 2, r: 3}. Give prob of picking 4 g.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/111 and -58\/549.\nAnswer: 20313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 14*g + 66. Let i = -20 - g. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**3\/3 - 252892*o**2\/3 + 21481370*o\/3 = 0.\nAnswer: 0, 85, 126361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2 - 0) + -14 + ((-6834)\/(-493))\/1?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**3 + l**2 + 2*l - 3. What are the prime factors of z(2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204913047.\nAnswer: 41, 53778367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4717375480 to the power of 1\/4, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82381?\nAnswer: 13, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 5*h + 7. Give l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/14384 and 79\/13833.\nAnswer: 6861168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*i**5 + 0*i**5 + 0*i**5 + (i**3 - i**2 + i**2)*(2*i**2 - 2*i**2 - i**2) - 2*i**5 + 2*i**3 - 2*i**3.\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {m: 5, z: 1, h: 7}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*r + 26240 = -251*r - 4*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + -4 + 0 + sqrt(18) + 0.\nAnswer: 3*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -14 - 10. Is (-3)\/(9\/3) - d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-7)*2)\/((-184)\/644). Suppose -3*z + 9*i = 10*i + 12, -a*z = -3*i + 19. Let v = -0.7 + 8.7. Put z, 1\/4, 0, v in decreasing order.\nAnswer: v, 1\/4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 14145840.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 6 - (7 - -3 - 3)) + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(72) + sqrt(72) + sqrt(72) - sqrt(72))\/sqrt(12)*6)\/((1*sqrt(2)*6 - (sqrt(2) - 2*sqrt(242)))*-2).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21763.85 millilitres in litres?\nAnswer: 21.76385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3780 is divided by 172.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*a - 0*a + q, -a + 4*q + 12 = 0. Let d be 8216\/6*a\/(-12). Let c = -912 - d. Calculate the common denominator of c and 39\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 3*b - 21, 0 = -5*d - 73*b + 72*b - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.92 - -7.92. What is the nearest to -0.1 in 2\/7, w, 1\/5, -17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.154 - -0.3983. What is a rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 15*x**2 - 8*x + 3. Let h be f(8). Suppose -h*b - y = -973, 0 = 5*b - 2*y + 275 - 1893. Is 38 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1406 (base 13) to base 9\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*q = -29, -q + 16 = 2*s - 5*q. Let p(i) = -19*i**3 - 2*i**2 + 2*i. Let n(h) = 153*h**3 + 17*h**2 - 17*h. Give s*n(r) - 17*p(r).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**3 - 18*i**2 - 6*i + 13. Let h(p) = -2*p**3 - 2*p**2 + p + 1. Let s(d) = -f(d) + 5*h(d). Give s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -108*p - 2. Is m(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-5 - 20\/(-5)). Let h(t) = 113*t**2 + 2*t. What is the tens digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37586, -161728, -372430, -669698, -1053538, -1523956?\nAnswer: -2080958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9378200 divided by -520?\nAnswer: -18035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*n - 1728, 2*n + 3*n - 6962 = 4*z. Let i be z*(3 - (-6)\/(-3)). Let b = i + 17339\/10. Calculate the common denominator of b and -91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 7*j**2 - 11*j + 80. Suppose -l + 34 = 2*g + 3*g, 2*g = -l + 13. Let s be h(g). Solve 2 = -s*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040 (base 8) to base 16.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(3) - (1 + sqrt(12)).\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90269 (base 10) in base 16?\nAnswer: -1609d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Suppose -l*b + 1 + 3 = 0. Find the first derivative of -q**4 + b - 5*q + 5*q wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*v**4 - 3484*v**3 - 32*v - 13278082 wrt v?\nAnswer: -144*v**3 - 10452*v**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12166\/231 + -46)\/((-10)\/36)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111763\/274 < -409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/10 - 8*k**2\/5 - 26*k\/5 - 24\/5.\nAnswer: -(k + 2)**2*(k + 12)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/11 - 12234*j**4\/11 + 18604340*j**3\/11 + 320323500*j**2\/11 - 770632822*j\/11 - 1072339746\/11 = 0.\nAnswer: -19, -1, 3, 3067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 17. Let s(a) be the third derivative of -a**4\/12 + 20*a**2. What is c(s(l))?\nAnswer: 6*l + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8866 and -197\/58740?\nAnswer: 23672220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-378) + (7\/189)\/(2\/(-6)). Let f = 1 + -2. Which is the nearest to -0.7? (a) q (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 7*i**2 + 6*i. Let d be u(-4). Let w be (51*(-8)\/(-9))\/(-2). Let s = w + d. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -442?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-35))\/(6\/21). Which is the nearest to 0? (a) -0.2 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*l - 140*l - 144*l - 165*l**3.\nAnswer: -165*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000010 (base 2) to base 5.\nAnswer: -3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 116125610 (base 7) to base 16\nAnswer: 6fa967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/12 - (-1)\/(-2). Does 7 divide 32 + z*(1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1045629513 rounded to five dps?\nAnswer: -0.10456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1869\/147)\/(12\/14) and 4263\/(-396) + (-2)\/(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/2))**(-21))**40*(x**(-4)\/(x\/(x*x*x*x\/(x*x**(-1\/5)*x*x))*x))\/(x**0)**(-4\/13) assuming x is positive.\nAnswer: x**(6276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 71962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -24. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-88)\/(-660))\/(2\/10) - (-14)\/6. Calculate the greatest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*x + 97*x = -1207. Sort -4, 4, x in descending order.\nAnswer: 4, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 3*o + 1. Let z be u(10). Find the first derivative of 179*g - 76*g - 91 - z*g wrt g.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in -3, -18, 4\/9?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - -127) + (-216 - (-122 + -79))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1137*m + 192*m - 335*m to the form v*m + u and give v.\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 44, 75, 112, 155, 204?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let k = n - 1. Let g = k - -0.003. What is g rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25964213, -25964229, -25964247, -25964267, -25964289?\n\"Answer: -p**2 - 13*p - 25964199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 4*v + 1. What are the prime factors of p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-16)\/12) + -1. Suppose -4*z + 4 = -4*x, -5*z - 4 = 3*x - 33. Suppose 13*o + 17 + 3 + 3*o - z + 4*o**a = 0. Calculate o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose 0 = 3*t - 0*t - 6. Suppose -t*j = 5*z - 10, 2*j + 2*z = -2*z + 14. Solve -c - 2*c + j = n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -3.3. Let j = 0.5 + c. Let q = j + 2.095. What is q rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - 4*y + (1 + 0 - 3)*(y + 1 - 1))*(-1 - 1 + y**3 + 1).\nAnswer: -4*y**4 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -597 less than 1.655?\nAnswer: 598.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -529158 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336\/30)\/(-14) + ((-27)\/(-5) - 4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515682 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 1181, 1776, 2371?\nAnswer: 2966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24415 - 24372. Solve -d*p - 352 = -137 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266 and 20?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/21 + 16 + -18.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -522664*h - 1567994. Determine f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/((-1)\/12). Suppose 2*j = -2*s, 3*j + 3*s - 7*s - 14 = 0. Let a = j - w. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 20, -7, -46?\n\"Answer: -6*y**2 + 3*y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 192.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3377393 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 45 = 5*o, -7*h + 5*h = -5*o + 30. Let y(i) = 3*i + 17. What is y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 34*q - 20 = 5*w, -2*q + 17 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -854*j + 861*j - 56 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**4 + 1211619*i**3 - 31*i**2 + 2*i + 79556 wrt i?\nAnswer: -96*i + 7269714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2323*r**2 + 13953*r + 89. Calculate v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 13*r + r + 11*r - 6*r - 19 - 27*r.\nAnswer: -8*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/((-264)\/55) - 78\/40)*-15. Solve 0 = -6*s - 12 + p for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2198 - -2387. Sort f, 1, 2\/17, 1\/8, -0.1 in ascending order.\nAnswer: -0.1, 2\/17, 1\/8, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21560 - -36080. What is c rounded to the nearest 100?\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -34 + 20 + (1 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 89*i**2 - 1560*i - 11. Give k(65).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -57 * -4\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 - ((2 - (4 + -3)) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 12\/9 - 200\/(-165).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - 5) + 14 - 0) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.16 or 113?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 20. Calculate l(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 19*d**2 + 9*d + 270. Let u(v) = 10*v**2 + 5*v + 150. Let x(o) = -5*f(o) + 9*u(o). Let w(k) = -130*k. Calculate x(w(j)).\nAnswer: -84500*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa53 - -7?\nAnswer: aa5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 - -2 - (-4 + 6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 20.07 (b) 4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -946, -952, -968, -1000, -1054, -1136?\n\"Answer: -r**3 + r**2 - 2*r - 944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 3*h**2 + h + 0*h. Let a be (-2 + 0)\/(-1 - 0). List the prime factors of q(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n - 141. Suppose 19 = 4*b - 1. Let p be w(b). Solve 3*g + 10 = 5*i, p*g = 8*g - i + 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1159\/(-665)*(-32)\/(-12)*(-30)\/8?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1091 + -1088. Solve 0 = -3*d - 5*v - 15, 2*d - 5*v + y*v = -10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/(-6))\/(14\/(-21)). Let k be (-8)\/d*(-5)\/2. What is the derivative of -2*o - 3*o**k - 2 + 2*o wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Suppose d + 2*d = -5*h + 100, -4*h + d + 80 = 0. Suppose -2*p = 3*p - h. Solve p*c + 8 = 3*v, -4*c = -5*v + i*v + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, 62, 79, 112, 167, 250, 367, 524?\n\"Answer: z**3 - z**2 + 3*z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -4\/3, 1102, -2, 4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-53.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*v = 69*v - 185 - 499. Let a(n) be the second derivative of 2\/5*n**v + 25*n + 18\/5*n**2 + 0 + 1\/60*n**4. Solve a(o) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423251 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: What is the least common multiple of 2 and 2958283?\nAnswer: 5916566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -25*t - 41. Let h(j) = 13*j + 20. Let l(s) = -7*h(s) - 3*v(s). What is the units digit of l(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.76 - -2.5229. Round z to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4947?\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4905, -1\/8, -1127 in ascending order.\nAnswer: -4905, -1127, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 179601*j + 179603*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 3*v**5 - v**5 + (-12*v**2 + 12*v**2 + 5*v**4)*(0*v + 7*v - 2*v) - 3*v**5 + 3*v**5 + v**5.\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -673150*x**2 + 380004*x?\nAnswer: -1346300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738776 is divided by 369381?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 653267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1185*a + 7261. Is 2 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:04 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 32. Let a(m) = -32 + 15 + m + 4*m - 2*m. Is a(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/16, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 2. Let j(u) = u + 5. Let w(l) = 5*a(l) - 2*j(l). Let p(d) = 1 - 6 - 3*d**2 + 3 + 2. Calculate w(p(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2 + 0 + -3 + sqrt(209)\/(sqrt(891)*4).\nAnswer: -71*sqrt(19)\/36 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most as big as -2139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4783580 and 57\/478358.\nAnswer: 4783580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = -44*n + 34*n - 528 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 - 6724*b**3 + 2808892*b**2 + 14186004*b + 11370384 = 0.\nAnswer: -4, -1, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 - -120. Let s be (-1 - j\/(-12))*-4. Suppose -329 - 1048 = -9*q. Calculate the greatest common factor of s and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 102636.3 decades?\nAnswer: 10263.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693332.1 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 13*t**2 - 8*t**2 + 21*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a - 3. What is the units digit of h(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84.55 and 0.8?\nAnswer: 67.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 38*m**2 + 12*m + 3. What is k(5)?\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-9)\/((-36)\/8). Suppose 5*y - p*y + 12 = 0, -5*f + 641 = -4*y. What is the highest common factor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let a be 46\/2 + (0 - -2)\/(-2). Suppose -2 - a = -4*m. Calculate the least common multiple of o(5) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10855 divided by 26982\nAnswer: 10855\/26982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.68161 + 0.397021517.\nAnswer: 2.078631517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2016) + sqrt(154)\/(sqrt(11)*-2))\/(-3*sqrt(567) + (sqrt(7) - sqrt(140)\/sqrt(5))))**2.\nAnswer: 529\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 54. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -425, 25 in decreasing order.\nAnswer: 25, 5, 0, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(j - j + 2*j) + (2*j - 7*j + 74*j)*(1 - 1 + 2)*(1 + 0 + 1)*(3 + 0 - 2).\nAnswer: 280*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Suppose 0*p - 5 = p - t, -3*p - t + 5 = 0. What is the units digit of i + -1 - -5 - p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -90208, -90281, -90358, -90439, -90524, -90613?\n\"Answer: -2*a**2 - 67*a - 90139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.4 + 9. Let q be 1 - ((-7)\/5 + 2). Which is the closest to -1? (a) -4 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}