diff --git "a/data/dm_maths/full_data/2335_11255.jsonl" "b/data/dm_maths/full_data/2335_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2335_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) - (sqrt(162) - (sqrt(162) + 4*sqrt(162) + sqrt(162)))) - sqrt(72)*-5)**2 + 3 + 0.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 + 3*p**5 + 16*p**6 + p**6 + 20*p - 16*p - 4*p**2 wrt p.\nAnswer: 1800*p**3 + 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 - 87. Suppose -47 = -2*q - 13. Let g = m - q. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 503513*j**4 + j + 12355 wrt j.\nAnswer: 6042156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1744647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i - 8. Let q be x(4). Suppose 3*p - 2*k - 179 = -68, 3*p - k - 108 = q. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 422011612 and 4322.\nAnswer: 422015934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z. Let h(b) be the first derivative of -1 + 4*b - 1\/2*b**3 + 0*b**2. Let j(n) be the first derivative of h(n). What is j(u(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 25390*p + 6208800.\nAnswer: -2*(p - 240)*(p + 12935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 1136 - 6. Let t = -151 + k. Let o = t + -52. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h**6)\/(h**(-3)\/h**(-2\/9)) assuming h is positive.\nAnswer: h**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1041, 996.\nAnswer: -1041, 2, 996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 203, 190, 189, 206, 247, 318, 425, 574?\n\"Answer: c**3 - 20*c + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 (base 12) in base 6?\nAnswer: 13213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.54 and -3.027997.\nAnswer: -3.567997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 767 divided by -3\nAnswer: -767\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518 = -5*w - 38. Let h be (3 - 4)*-3*4. Calculate the greatest common factor of h and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + 435\/(-441). Let j = 194\/147 + v. Factor 2*r + 2\/3 + j*r**2.\nAnswer: 2*(r + 1)*(2*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*s - 22, 0*g - g = 4. Is s bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from kkoikkiinokknkkok.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((2\/(-9))\/(20\/120)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/5, 4, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -74a49a?\nAnswer: 74a506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 403482.8 litres?\nAnswer: 403482800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n - 2*n)*(3*n**3 + 2*n**3 - 2*n**3)*(-21*n + 14*n - 9*n).\nAnswer: 192*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -257318*n**2 - 23158622*n - 176. Determine f(-90).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*y + 295, -4*s + 117 + 179 = 4*y. Suppose -5*m + 23 = x, 3*m + 8 = 7*m. Calculate the remainder when s is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:48 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21120 (base 3) to base 16\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28121 + 21*j + 28121.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4891880.\nAnswer: 2, 5, 7, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2586 and 3471274?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**7\/2520 - s**6\/120 + s**5\/30 + 13*s**4\/24 + s**2 - 121*s. Let l(q) be the third derivative of z(q). Calculate l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -0.1353, -5, -2\/7?\nAnswer: -0.1353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(4\/(-16)*-1) + 1. Sort m, 0, 4 in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 17. Let u(b) = b - 2*b**2 + b**2 + 2*b - 2*b**2. Determine u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 8:14 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 1.8. Which is the closest to -3? (a) 1 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + (-63)\/(-14). Suppose d + h*k = -13 - 0, -2*k = -4*d + 36. Suppose -128 + d = -j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*v + 2 = g, g - 5*v = -12. Let o(p) = -p**2 + 2*p - 1. Give o(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**5\/12 + 33*k**2\/2 + 58. Let m(u) be the second derivative of y(u). Let z(o) = 15*o**2. Determine m(z(c)).\nAnswer: 1125*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 3*y + 1 + y + 0*y - 3. Calculate k(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2\/13, 4, 0.1 in decreasing order.\nAnswer: 4, 2\/13, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7063.451km?\nAnswer: 7063451000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2466740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*s + 3731 = -456, -2525 = -3*u - 4*s. List the prime factors of u.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = 4*y + 58, a - 4*y = -69. Let o = a - -61. What is the highest common factor of 156 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, -1.3, -0.4, -0.2, -10, 254, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/42) - 14\/35*15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 12*a + 9. Let l be 10*(-2)\/2*1. Calculate the remainder when b(l) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (212\/24 - 18) + 2\/12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:42 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6845642 and 3049972.\nAnswer: 6718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 991*d + 4983. Let a = 187 + 110. Calculate the remainder when a is divided by j(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 + 68 = 3*p, 3*d + 81 = 5*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/10959448 and -71\/506340?\nAnswer: 493175160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*q**2 - 885846*g**2*q + 2*g*q - 48*g - 15*q**2 + 129*q - 3 wrt g?\nAnswer: -2*q**2 - 1771692*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l = -794*l + 34137 + 7753 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2094030 and 57236820.\nAnswer: 171710460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200030210 (base 4) to base 16.\nAnswer: e0324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.68 and -1584.1.\nAnswer: -1584.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58aa1 (base 13) to base 3.\nAnswer: -22020111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105952*v**3 - 315 + 42 + 106325*v**3 with respect to v.\nAnswer: 1119*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16*g + 3. Give m(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10*h + 15. Suppose h*g + 6 = 5*g. Suppose -s = -g*s - 2. Are s and 1\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602609.3 centimeters to kilometers.\nAnswer: 6.026093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**2 + 29*a + 101. Calculate m(-6).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)\/(10\/(-15)). Suppose 0*n = -k*n. Is n less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*q = -609*q + 180. Suppose 0 = 43*v - q*v + 1746. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 41714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.9 - -102.1. Let z = o + -115.9. Let w = -2\/101 - -117\/808. What is the smallest value in 3\/8, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmkkmmkkmmmk. What is prob of sequence mm?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2535 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.659 - 3.569. Let i = 0.09 - l. Is 0.1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810247296.\nAnswer: 2, 3, 2110019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 406 - 3166. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7468971.\nAnswer: 3, 43, 57899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43046 rounded to the nearest 100?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3273, -5477, -7657, -9801, -11897?\nAnswer: -13933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-273)\/26*510\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10860 - -11097. Solve 3*t + 213 = x for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0415740406 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(-301))\/((-3)\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123*-30.\nAnswer: -3690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**(-7))*c)**(-43) assuming c is positive.\nAnswer: c**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44*(-72)\/1584 - (-3)\/(-2)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35552121 to the power of 1\/2, to the nearest integer?\nAnswer: 5963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 100 = -q. Let l = q + -10. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1403, 499, -1031, -3205, -6041, -9557?\nAnswer: -13771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 84, 72, 60?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*a - 16. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -55?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3011 + 3846*m**4 - 14126*m**4 + 2169 - 1350*m**4 - 12065 wrt m.\nAnswer: -46520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhzqqqqhhhhqqzhhh. Give prob of sequence hh.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(242) + -3 - sqrt(242) - sqrt(242) - sqrt(242) - sqrt(242) - sqrt(242) - sqrt(242)) + sqrt(242) + 2)**2.\nAnswer: 440*sqrt(2) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 237104?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -75*l**2 - 15*l. Let j(x) = 76*x**2 + 14*x. Let r(s) = -2*j(s) - 3*v(s). What is the second derivative of r(a) wrt a?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 7 = -17*v + 4*z, 0 = 2*z - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -2*z - z**2 - 1\/6*z**3 - 2. Factor o(j).\nAnswer: -(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7*11843\/455)\/(1\/5) is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305\/7 - 44. Which is the closest to -0.04? (a) -4 (b) q (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(6) + sqrt(6))\/sqrt(2)*5)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1089450254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.649 + -0.749. Which is the nearest to g? (a) -18 (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 2*k**2 - k. Let d(q) = 4*q**3 - 18*q - 159*q + 10*q**2 + q**2 + q**2. Let z(a) = -d(a) - 6*s(a). Find the second derivative of z(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 - 13*o + 16*o + 124*o**2 - 5*o as m + d*o + s*o**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113\/(26103\/2178)*42\/(-15)*(-15)\/(-9).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8959 divided by 31\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-3 - -13) + 871\/(-174)*2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let f(a) = 7*a + 4. Let l(d) = -d - 1. Let m(y) = -y**2 - 3*y - 3. Let w be m(-2). Let s(h) = w*f(h) - 4*l(h). What is s(c(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 16*k - 7. Let n be w(-7). Suppose -n + 3 = -p. Which is the closest to 0.1? (a) p (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 195 - 195. Suppose -5*k + 2161 + 34 = b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 14. Let a = u - 1. Let v = -9 + 11. Solve 0 = -v*m + 3 - a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-11 - -5 - -13 - 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 19*y. Let b(f) = -6*f**2 - 81*f - 32. Calculate the remainder when c(1) is divided by b(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79739 + 138939. Suppose -5*y = -7*y + h. Round y to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 8*p - 399 + 469, 5*p = 2*i + 37 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4334 (base 6) to base 15.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.3, 0.2, -2\/27, -2\/7, 8?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11558 + 1589. List the prime factors of r.\nAnswer: 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(175))*6.\nAnswer: 24 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (3 + 3\/(-1)). Let -l**4 + 2*l**4 + 0*l**3 - i*l + 3*l - 1 + 2*l**3 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (0 + sqrt(6)\/sqrt(3)) - sqrt(6)\/(-1*sqrt(3)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 17. Suppose 2*n - 3*z - 4 = 0, -23 = -4*n - 3*z + 3. Suppose g - 3*g - 44 = -n*l, -l + g + 7 = 0. Calculate the remainder when l is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:18 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12789916 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11865 times -5?\nAnswer: -59325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m + 10*m + 18 = -14*m + z, 5*m = 4*z + 135 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9583 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-20)*-28)\/((-6)\/(-30))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75199319*g**3 + 384213531*g**2?\nAnswer: -451195914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -27. Sort 81, x, 3 in ascending order.\nAnswer: x, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/25*5)\/((-2)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 + 5*y**4 + 0*y**4)*(y + 5*y - 3*y) - y**5 - 3*y**5 + 3*y**5 + 5*y**5 - 2*y**5 - y**5 + (y**4 + y**4 + y**4)*(-7*y + 13 - 13).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 - 96*n**4 - 465*n**3 + 96*n**2 + 468*n = 0. Calculate n.\nAnswer: -26, -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110551946 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.18, -2\/9, 2.2649, 3\/4, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -3, -20 in decreasing order.\nAnswer: 1, 0.1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -21. Let b(h) = 43 + 2*h**3 + 8*h**2 + 3*h**2 + 10*h + 6*h**2 - 24. Let k be b(-8). Solve 15 = -2*x - k*c, 0*c = -4*x - v*c - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-38454)\/136)\/(-87)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -10) + -3 + (0 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267*f**2 - 749*f + 749*f)*(2*f**3 + 5*f**3 - 3*f**3).\nAnswer: 1068*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 269368605 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*11\/((-495)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:40 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f + 110*f + 136. Suppose 4*y + 4 + 8 = 0. Let s = y - f. Put s, 8, 1, 3 in descending order.\nAnswer: 8, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4215.228 decades?\nAnswer: 42.15228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1053631 or 1053630?\nAnswer: 1053630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 35. Let w(v) = -c + 3 + 28*v + 14 + 16. Is w(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d90 + 4?\nAnswer: -2d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 999588*w**2 + 3998304*w.\nAnswer: 3*w*(w - 333192)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1.4, 2\/49, -133, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.32 + 0.68. Let l = n - 2. Which is the second biggest value? (a) -4 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.52 - -0.31. Let w = 0.19 - z. Let s be 1\/(-2) + 14\/20. Which is the second biggest value? (a) w (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {p: 8, f: 3, j: 3, y: 1, o: 2, w: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -m + 6 - 12, -2*z - m + 3 = 0. What is the third smallest value in z, -6\/7, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -178, -395, -742, -1243, -1922, -2803, -3910?\nAnswer: -5267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:36 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2674485711.\nAnswer: 3, 743, 399953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1446, -1429, -1410, -1389?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 3*b - b)*(-2 - 1 + 4) + 4*b + 0*b - 3*b + 17 - 6*b - 17 + (3 - 3 - 2*b)*(-87 - 103 - 22) to the form v*b + w and give v.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrskttrkr. What is prob of picking 1 k and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33211, 265737, 896885, 2125969, 4152303?\n\"Answer: 33219*i**3 - 3*i**2 + 2*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, h: 1, o: 11}. What is prob of sequence ww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = u + 1, 4*q + u = -0*u + 14. Suppose 7 = -l + 5*d, -5*l - 2*d + 13 = -q*d. Suppose a + 31 = l*n + 3*a, 2*a + 32 = 4*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4593 is divided by 209.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1272*d - 246. Calculate the remainder when b(4) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 9. Let w(a) = -a**3 - 7*a**2 + 8*a - 14. Let s be w(-8). Let c be s\/(-4)*(-26 - -24). Give k(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3 - 1\/2*n - 1\/2*n**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/105)\/(1*10\/(-25)*-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - -4.69. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2)*d)\/d**(-5\/2))\/(d*d**1)**8*(d**13\/((d\/(d**6\/d))\/d))**33 assuming d is positive.\nAnswer: d**(1169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 1. Let c = g + -5.4. Sort 2\/15, c, 0 in decreasing order.\nAnswer: 2\/15, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*h, -5*h + 10*h - 25 = 3*s. Put 0.5, s, 4 in ascending order.\nAnswer: s, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6. Let n(u) = -u + 5. Let d(l) = -5*n(l) - 4*t(l). Is 7 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/24 - 303*f**3\/4 + 455*f**2\/2 - 200*f. Factor r(w).\nAnswer: -(w - 1)*(w + 910)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1786.6.\nAnswer: -357.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1416535608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 147*d**2 - 606*d + 306. Calculate s(151).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 25 = 5*g, -2*g + 26*q = 27*q - 10. What is the closest to 8 in 1\/3, -5, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1)*-1*2. Suppose -16 - n = -3*f. Suppose f + 8 = 2*p. What is the highest common divisor of 24 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21098, -42226, -63384, -84578, -105814?\nAnswer: -127098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 - 5*y**3 - y + 3*y**3 - 2*y**4 - y**3 as t*y**3 + j*y**4 + n*y + u*y**2 + k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 + 8 + (1 - 0). Suppose -4*z + 62 = -z - x, -16 = -4*x. Calculate the remainder when ((-82)\/4)\/(n\/16) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244131 + -11?\nAnswer: -244142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14965\/12 + 1240. Find the common denominator of c and -6*(484\/30 - (-86)\/(-645))\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3490835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1) + (9 - (27 + 2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*j**3 - 34*j**3 + 2*j**2 + 2 + 65*j**3 to q*j**2 + m + t*j**3 + d*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 87629706 and 9582.2.\nAnswer: 87639288.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 310*c - 309*c - 2. Solve -5*m = -m - 2*p - c, 0 = -5*p - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 32 + 4. Suppose q*s - 9 = s. Suppose -2*t + 1115 = s*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 4*j - 4*l + 28, -10*j - 11*l + 12*l = -4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350606243 by -2.\nAnswer: 350606243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -44, -59, -80, -107, -140, -179?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:45 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.057 and 145.424 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Let g = t - -4. What is the remainder when 15 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 83*h = 85*h - 48, 0 = 11*u + 4*h - 104 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -897581.\nAnswer: -1\/897581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -i + 20*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4643, 18578, 41803, 74318, 116123?\nAnswer: 167218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y - 36. Let q = 12 - y. Let w be (q\/(-60))\/((-2)\/110). Solve 2*x = 4*o + 20, -3*o + 8*x - w = 3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -3*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 = -5*u - 54, 4*d - 16 = 0. Let b(w) = -6*w - 20. Let h be b(-8). Let o = h + u. Calculate the greatest common divisor of o and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 2*k + 12.\nAnswer: 2*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 916, 1834, 2750, 3664, 4576, 5486?\n\"Answer: -r**2 + 921*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 197*x**3 - 381*x**3 + 209*x**3.\nAnswer: 25*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 518 - 517. Let t(r) = -r**3 - r - 1. Let k(c) = 8*c + 5*c + 2*c**2 + 3*c**3 + 9 - 2*c**2 - 4*c. What is b*k(f) + 9*t(f)?\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 8. Let i be u(9). Suppose o - i + 5 = 0. Calculate the remainder when 53 is divided by 2\/o - 74\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*b + 9, 3*b + 4*x = 7 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -31. Let c(q) = -m - q + 28. Let i(h) = -h. Give -4*c(y) + 5*i(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(50) - (sqrt(2) - ((sqrt(288) + 0)**2 - sqrt(2)) - sqrt(2) - sqrt(2)).\nAnswer: 5*sqrt(2) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20096 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:10 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2775 = -4*m + 16457, 3*m - 5*v - 10270 = 0. Round m to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18640 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1\/2 + 175\/50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*g + 2*k, 117*g + k = 116*g - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 45699*b - 274177. Calculate a(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 6*p + 4*p**2 + 0*p**2 - 2*p**2 - 4*p + 14*p.\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -755995, -1512080, -2268165?\n\"Answer: -756085*p + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118182?\nAnswer: 2, 3, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*j, -122 = 10*t + 4*j - 78 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4854, -4835, -4790, -4707, -4574, -4379, -4110?\n\"Answer: 2*q**3 + q**2 + 2*q - 4859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 88 = -8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 21 - 15. Suppose -z*t = -5*i - 0*i + 4, 5*i = t + 8. Suppose 0 = -t*u - 3 - 11. Let k(p) = -4*p - 6. Calculate k(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*o + 2*b**2*z**3 - 3*b**2*z**2 + 7*b*o*z**2 - b*o + 2*b*z**3 + 2*o wrt b?\nAnswer: -8*o + 4*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1343 - -1411. Is 45 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.10000062 + 0.1. What is b rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3682 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23388 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 58*o + 21. Calculate a(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(4\/7)*a*a**(1\/29)*a*a)**(-22))**(1\/2))**(-9\/11) assuming a is positive.\nAnswer: a**(6588\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = 4*v, -f + 2*f - 3*v = -5. Let g = -71 - -74. What is the units digit of (f\/(-6) - -2)*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8079 by -1.\nAnswer: 8079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*o = -13, -2*t = t - 2*o. Let w(b) = -b + 3. Suppose 0*h - 5 = h, 0 = 2*m - 3*h - 15. Let n be w(m). Solve 0 = -t*y - n*y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by -14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 - 97. Let u be 2 - (-14)\/(-2) - -1. Put -0.5, r, u in descending order.\nAnswer: r, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -953 = 3*h - 4*h + 5*k, -3*h + 5*k + 2859 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*z - 11569822 + 11551232 for z.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01074421144 to 4 decimal places.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/41))**(-2\/23) assuming j is positive.\nAnswer: j**(-78\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-357509 + (2 - -1))\/(1 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10324*v**2 - 9712*v**2 - v + v.\nAnswer: 612*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176735 - 176776.9876. Let w = 42 + k. Round w to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 2\/47, -2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*w = -7, -2*w - 3*w - 15 = -5*d. Suppose d = m + 12. Is 2\/m + (-7022)\/(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 13*b**2 + 2*b - 18. Let q be d(13). Calculate the greatest common factor of 72 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4360*p**2. Let l(d) = 4*d + 7. What is r(l(f))?\nAnswer: 69760*f**2 + 244160*f + 213640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 - 163. Let s be z + 7\/7 + -7. What is the highest common factor of 114 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 16) to base 7\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/23)\/j*j**(-4\/7)\/j*(j**15)**(-8))**(-41) assuming j is positive.\nAnswer: j**(808233\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/210 and 22\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17607897 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: Let y = 454 + -454.4. Which is the closest to -1? (a) 2 (b) y (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*p = -44, -3*p - 54 = 4*x + x. Let h(w) = -4*w - 41. Let u be h(x). Is (742\/(-4))\/((21\/(-6))\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*d + 32, 0 = -j - 0*j + 4*d + 18. Let h(f) = f**2 - 2*f + 7. Let t be h(-3). Let k = t + j. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 1\/18*d**6 + 0*d**2 - 1\/12*d**4 - 1\/15*d**5 - 2 + 0*d + 1\/9*d**3. Find s such that m(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o*o*o**(-1\/4))**9 assuming o is positive.\nAnswer: o**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:38 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1579 and 5423.\nAnswer: 8562917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -69 (b) -0.31 (c) -4.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 6*q - 2*q + 5*q - 2 to j + r*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 6.1. Let v = h - 11. Let z = v + 5. Put 2, z, 3 in decreasing order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -3 (c) -10\/31 (d) -1\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -9 + -1)\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224737567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128651 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 divided by -1675?\nAnswer: -444\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -790 - -3130. Is (-1)\/(-2) + s\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s. Suppose -7*l + 2*l = -325. Suppose -3*u = 2*u - l. Let i(q) = -13*q + u*q - q**2. What is k(i(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3*g**5\/35 - 24*g**4\/7 + 116*g**3\/7 - 24*g**2 - 114. Let f(a) = 0. What is a?\nAnswer: 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 8*r - 16. Let c be g(-6). Let h(j) = j + 1. Let z(x) = -3*x - 2 + x + 0. Let y(s) = -3*h(s) - 2*z(s). Determine y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 10649746.5631?\nAnswer: 10649746.6631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 452125325 to the power of 1\/2, to the nearest integer?\nAnswer: 21263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2 and ((-70)\/(-18))\/1 - 13\/26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 <= 3306\/491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-5)\/c)*(c\/((c*c**0\/c*c*c)\/c)*c)\/c*((c\/c**(-2\/15))\/c)\/(c**(1\/7)*c) assuming c is positive.\nAnswer: c**(629\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 855. Suppose -n + h = 4*n. What is the remainder when n is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, d: 1, j: 4, m: 5}. Give prob of picking 2 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -852 - -864. Suppose -787 + 5251 = j*v. What are the prime factors of v?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 115*r**2 - 8*r + 7. Let m = 13 - 12. Let z be s(m). Let i = z - 2. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -39*j**3 - 3*j**2 - 2*j. Calculate g(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209*a**4 - 2*a**2*o**3 + a*o**3 + 322*a*o**2 wrt a?\nAnswer: -2508*a**2 - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + 99*v - 99*v + (-6*v**2 + 2*v**2 + 2*v**2)*(-v**3 - 1 + 1) - 2*v - 1 - 28*v**5 + 31*v**5 - 1.\nAnswer: 9*v**5 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -55*(-10)\/10200 - (-1)\/(-4). Let j be (-11)\/22*(3 + -1). Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Which is the nearest to 0? (a) 7 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 27*i**2. Let n(u) = 48 - 18 + 11*u**2 - 30. Calculate m(n(w)).\nAnswer: 3267*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*z**3 - 3*z**3 + 11753*z + 21*z**5 - 11265*z - 2 wrt z?\nAnswer: 420*z**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-297*u - 14 - 355*u + 30 - 16)*(-3*u + 7*u + 2*u) as a + q*u**2 + v*u and give q.\nAnswer: -3912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(24\/(-32)). Suppose -r - r = 6, -4*r = 2*q - x. Let w(u) = -4*u + 4. Let o(f) = 3 + 7*f + 8*f - 24*f + 8*f - 2*f. Determine q*o(s) - 5*w(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**13)**(3\/25)\/((q*q**(-27)\/q*q)\/(q\/(q\/q**(-1\/43))*q)) assuming q is positive.\nAnswer: q**(27452\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2122\/1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, q: 5}. What is prob of sequence mmqq?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 o, and 1 t when four letters picked without replacement from xstottthhxox?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1101224 <= -1101315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 734, 1344, 1958?\nAnswer: 2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**0*b*b)\/b**6*b**3\/b**(-4) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/63 and -12\/5.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 - 4*j - 12. Let z be c(6). Suppose -2*w + 4 = -z. Find k, given that 0*k**w + 0 - 3\/7*k**4 + 1\/7*k**3 + 0*k = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(0 - -3) - -1. Let p = -134\/3 - -45. Find the common denominator of p and 2 - (154\/4 - y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.585 rounded to 2 decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - -60) + -2 + 1 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 27*o**2 - 1626*o + 41885. Calculate k(25).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 4*l**2 - 3*l + 15. What is a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3 - 1) + -4 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134*1917\/18 + 14\/(56\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15316 + 57*d**2 - 15316)*(0*d**3 - d**3 + 2*d**3)*(-3 - 33 + 5).\nAnswer: -1767*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-1\/11)\/x)\/x)*(x**2*x*x)\/x*x**8*x**(1\/5))**(-48) assuming x is positive.\nAnswer: x**(-37728\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -37*r**2 - 727*r - 1290. Calculate p(-13).\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(3 - (-10)\/(-4)). Suppose b + 3*q = -t*q + 18, 44 = 4*b - 2*q. Suppose 3*a + b = 7*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 6. Let x be d(6). Let g be (x - 12)*(-2)\/4. Solve 5*t + 20 = -g*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 0.6\nAnswer: 19.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607510 is divided by 790.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010003102 (base 4) to base 2.\nAnswer: -101000100000011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by -20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 6*c - 3. Let r be (4\/10)\/((-2)\/(-10)). Calculate i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzh when three letters picked without replacement from {g: 1, h: 1, v: 1, z: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 796344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28263.\nAnswer: 3, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6 - 7560*m + 7559*m - 28*m**3 + 30*m**3. Give j(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 10*r - 11*r**2 + 2*r**2 + r + 8. Let i be f(9). Let z be i\/2*(3 - 1). Round z to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191.3 times 0.094\nAnswer: 17.9822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 456*t**2 - 43919*t - 127680.\nAnswer: -(t + 3)*(t + 133)*(t + 320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.8 from 1603.681521022.\nAnswer: 1575.881521022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -358, -364, -372, -382?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.24*22\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-8))\/(g*g\/(g\/g**(-6)))*((g*g*g\/((g\/(g*(g**(-3)*g)\/g))\/g*g*g)*g)\/g)\/g*(g\/g**(-8))\/g assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4158 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b + 191*b**2 - 13*b - 419*b**2 + 17 - 897*b**2.\nAnswer: -1125*b**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23525100 (base 6) in base 9?\nAnswer: -1351370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k. Let t(i) be the third derivative of 0 + 9*i**2 + 0*i + 0*i**3 - 1\/24*i**4. Calculate t(b(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 2*k**3 - 2*k**3)*(0 + 4 - 3)*(9 - 7 + 13)*(0 - 3 - 2)*(2*k - 3*k + 0*k).\nAnswer: -75*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(250\/15)\/(-5). Determine s, given that 2*s**2 + 3*s**2 - 3 + 13 + v - 25*s = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. What are the prime factors of 3*((0 - h) + 8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1126, -2252, -3378, -4504, -5630?\nAnswer: -6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448939.\nAnswer: 3, 307, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 6*y**3 + 2*y**3 + (2*y + y + 0*y)*(821*y**2 - 728*y**2 - 613*y**2) + y**3 + 0*y**3 + y**3 - y.\nAnswer: -1560*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 4*h + 2*h + 3*h**2. Let y(u) = -17*u - 190. Let s be y(-14). Let q(z) = s*z**2 - 20*z**2 - 27*z**2. Calculate n(q(j)).\nAnswer: 3*j**4 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -21*o + 11*o. Calculate the remainder when 102 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 52\/10)\/((-4)\/(-10)). Let u be (-165904)\/(-2400) - b\/5. Let q = 1694\/25 - u. Find the common denominator of 31\/33 and q.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let n(o) be the third derivative of 17*o**5\/120 - 7*o**3\/6 + 3*o**2. Let f(r) be the first derivative of n(r). What is c(f(l))?\nAnswer: 289*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 417 + 1?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*x + 47 = 62, -2*x + 37 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*m*z**6 - 4*m*z**4 - 2*m*z**3 - 7*m*z**2 + 5*m - 2*z**2 wrt z.\nAnswer: -1680*m*z**3 - 96*m*z - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10174594?\nAnswer: 2, 73, 227, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 3 = 19*w. Put w, 0, 3 in increasing order.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 11*b - 15*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 + 4*x - 3. Let r be y(2). Suppose -4*t - r = -2*z + 215, -6 = 3*t. What is the highest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271387.3739 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.44160246 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Let h be i\/1 + 83 + 12. Suppose -5*d - h = -10*d. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207429*a + 267134*a - 2086814*a.\nAnswer: -2027109*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + sqrt(33)\/sqrt(3))*-5*6 - (-5*3*(sqrt(11) - (sqrt(11) + (sqrt(264)\/sqrt(6))\/sqrt(4))))**2*-5.\nAnswer: -30*sqrt(11) + 12285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3427771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 11. Let k = l + 8.5. Let w = -4 - k. What is the closest to -2\/5 in -1\/4, -1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -188*m - 118. Calculate the remainder when n(-10) is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186766354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -35619 <= -35629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + 1.98. Let v = 1.6 - f. Let t = -187\/4 - -48. Which is the biggest value? (a) t (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 2*39\/(-54) and 13*(3 - 1 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151685620 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -681*l - 4 - 180*l - 4665*l**2 + 4663*l**2 as m*l + y + r*l**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + k + 82, -h + k - 3*k + 23 = 0. Let w = 29 - 42. Let r = h + w. Solve 4*d + 4*s = 32, -d - 12 - r = -5*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 8 + 10. Suppose z + 0 = x*g + 12, g + 18 = 5*z. Suppose 4*q + 5 = 13. Solve -z*k - q*k - 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.5 + -29. Let w be (-15)\/(-5) - 17\/6. Let h = 4.4 - 4. Sort h, j, w in decreasing order.\nAnswer: j, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314352 + -314333.2569. What is w rounded to 1 decimal place?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2)\/((-2)\/(-22)). Let r = 22 + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - (-6 + 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 5*y**7\/7 + y**4\/24 - 151*y**3\/3 + 44*y**2. Differentiate q(t) wrt t.\nAnswer: 600*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + -5*(5 + (-6*-3*sqrt(1700)*2)**2) + -5).\nAnswer: 66096150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 142 = 2*c, -4*c + 221 = -c - a. Let u(z) = -70*z + 150*z - c*z - 5. What are the prime factors of u(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.992 + -2.092. Let b = 0.6 + -1. Let o = -15 - -16. What is the closest to l in b, 5, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - i**3 - i**3)*(2*i - i - 2*i) + (-2 - 1 + 5)*(4*i**4 + 7*i**2 - 7*i**2) + (i**2 - 2 + 2)*(2*i**2 - i + i).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 + -52. Let f be (-1221)\/t + 2\/(-7). Find the second derivative of 12*n**5 + 18*n**f - 88*n**2 + 88*n**2 - 40*n wrt n.\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4 - 3 + 2. Let t(j) = -j - 1. Let z be (2\/2)\/(36\/324). Let x be 3\/z*(3 - (0 + 0)). Give x*o(n) - 3*t(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 14440.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 7 - (-3 - ((17 - (2 + 7)) + -7))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, u: 1, d: 2, x: 1, h: 3, m: 2}. Give prob of picking 1 u, 1 x, and 2 d.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = n - 5*u - 23, 0 = 5*n - 4*u - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3143039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = f - 900, -4*z = 3*f - 555 - 353. Is 64\/z + 70822\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*a**6 + 260*a**2?\nAnswer: -6120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76079*t**2 - 352972*t.\nAnswer: 152158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -47212?\nAnswer: -188848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(5) + sqrt(5))*4 - (sqrt(5) - sqrt(25)\/sqrt(45)))*4.\nAnswer: 184*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (318*3\/30)\/((-2)\/(-10)). Suppose z*k = 157*k + 32. Let d(x) = -x**2 + 17*x - 13. What is d(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 682978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234643 is divided by 95.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000)*6)\/(sqrt(4)*3*-2 - sqrt(4)))**2.\nAnswer: 18000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*j**3 + 220*j**3 + 154*j**3.\nAnswer: 293*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(102)\/((sqrt(60) + sqrt(300)\/sqrt(5))\/sqrt(10)) + -1 + -3).\nAnswer: -45 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28905828 divided by 5?\nAnswer: 28905828\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 10726628.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/54 in 0.1, 3\/7, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -207? (a) 5 (b) 1.8686 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + 0 + -3 - sqrt(468) - -3*(3 + sqrt(468) + sqrt(468))**2.\nAnswer: 216*sqrt(13) + 5640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19\/q*q*q**(3\/2))\/(q**15*q)**1 assuming q is positive.\nAnswer: q**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.136 and 3.751.\nAnswer: 3.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 + 2?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(2*d**3 - 7*d**3 + 10*d**3).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*i**2 + 0 - 3\/5*i**3 - 3\/5*i.\nAnswer: -3*i*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 w when four letters picked without replacement from zwwwpzzpppzzzww?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 5*f**2 + 2*f + 4. Let v(z) = -2*z + 10. Let i be v(5). Suppose -8 = -2*a - u, 2*a + i*u = 3*u. What are the prime factors of q(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 13*z**2 + 81*z - 49. Calculate b(18).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n - 4. Let p(f) = 4*f + 4. Let z(j) = 5*d(j) + 6*p(j). Calculate the remainder when 1 is divided by z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/27)\/(n**(-1\/7)*n)*((n*n**(-3\/2))\/n*n)**(-4\/23) assuming n is positive.\nAnswer: n**(-3670\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hddhhhdhhh?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, s: 1, m: 6, a: 2, l: 1}. Give prob of sequence sadm.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 9*g**5 + 303*g**4 + 1713*g**3 - 16011*g**2 - 14934*g + 43320 = 0?\nAnswer: -19, -2, 4\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49\/24 - 293\/120. Which is the nearest to 2? (a) n (b) -0.07 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 14 = 2*t - 4*g, 3*t - 4*g = 19. Suppose 79 = t*n - 41. Suppose -n*w + 23*w = -258. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 8\/5*q**3 + 6\/5*q - 19\/5*q**2 + 0.\nAnswer: q*(q - 1)*(q + 3)*(5*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39932 and 25492.\nAnswer: 254486636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + 49*z**2 - 193*z + 1318. Give n(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/35*10*(6538\/(-70) - -23). Solve -128\/7*w**5 - 1472\/7*w**3 - 1440\/7*w**2 - n*w**4 - 648\/7*w - 108\/7 = 0.\nAnswer: -3\/2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 107850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = r - 1, -3*b - 22 = -12*r + 7*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -5 (c) -21\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 380\/(-532) - (-4)\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Suppose q = 2*x - 2*m, 0 = -x + 4*x - 4*m. Suppose -13 = 4*r - 5*u, 0 = 5*r - 2*u + 5*u + 7. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or 59?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1313323 (base 5) to base 8.\nAnswer: -62750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8979318 - 14.\nAnswer: -8979332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 4 - 1, 154*o - 7*a = -155*o + 316*o - 161 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:55 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:21 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-30))\/((-4)\/24). Let j(s) = 36*s**2 + 4*s + 30. What is the tens digit of j(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.21, -2\/193, -3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from {w: 4, v: 3, u: 4, g: 2, e: 2, m: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 0*y + 0*y + 2*y)*((-1 - 3 + 3)*(-3 + 1 + 0) + 0 - 3 + 2 - 3 + 6 - 2 - 3 - 2 + 3 + 6 + 2 + 0).\nAnswer: 16*y - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7)**(-7\/3))**26 assuming q is positive.\nAnswer: q**(-1274\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 57*b = 53*b - 244009, -5*b = w - 81330. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*w - 5*w + 5*c, 4*c + 14 = -3*w. Solve 5*f = 2*a + 19, -a + 3 = w*a + 3*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:42 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134956 or 134587?\nAnswer: 134956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104740719 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8730.62 rounded to the nearest 100?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (129\/(-645))\/((-8)\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1835 divide 5063501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1274 divided by -637.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5\/3 - 436916*f**4 - 214756229174*f**3\/3 + 143174751708*f**2 + 1073786388928*f\/3 - 429517701376 = 0.\nAnswer: -327688, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 593*n**2 - 2*n - 6. Give w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-144)*-2)\/(18\/4)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4+1192707\nAnswer: 1192711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35192 or 1090995\/31?\nAnswer: 1090995\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-705)\/(-6)*(-598 - 10). Round m to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 - 16. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208 or -142214?\nAnswer: -142214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467104\/9 + (-16)\/40*(-30)\/(-27).\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 1. Let j be a(-2). Let f(x) = -x**2 - x. Let r be f(-1). Solve 3*i = -6, -i - 2 = -j*u - r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -13.9. Let j = -2.9 + a. Let g = -29 + 59\/2. What is the third smallest value in j, 4\/7, g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ippippiwiippwipwy. What is prob of sequence yiwi?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1032 - 1023. What is the remainder when 97 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*w - 9 = 0, -88759 = -3*j - 3*w - 88741 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, -15.107, 0.5 in descending order.\nAnswer: 0.5, -2.4, -15.107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -5) + (-3)\/3. Suppose -5*y + m*y = -16. What is the greatest common divisor of y and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14056384 divided by 4673?\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/299? (a) 4\/3 (b) 0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = -2*v, -5*v + 0*v = -4*b + 13. Solve -8 = -b*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 6*j**2 + j - 12. Let a be u(6). What is the remainder when 24 is divided by 1 - 1 - (a - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/f**(-9\/5) assuming f is positive.\nAnswer: f**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179637 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21040, 2\/17, 39\/7 in increasing order.\nAnswer: 2\/17, 2, 39\/7, 21040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -903189220 - -903188773.000871. Let r = s + 447. Round r to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160309 is divided by 120?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 0.29828.\nAnswer: 1.78968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Suppose 0 = -4*o + 20 - 4. Which is the second biggest value? (a) o (b) 1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from rltxr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1052733 to the nearest ten thousand.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 8*g**2 + 7*g + 5. Let n be 2\/(-7) + 102\/14. Let f be p(n). Solve -4*i + 12 = 0, -5*u - 9 = -f*i + 2*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {h: 1, q: 3, i: 1, b: 1, g: 3, l: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 14*t**2 + 12*t + 16. Let o be a(13). Suppose -o*l + 6*l = -12. Let y = l - -9. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(sqrt(12)*-1 + sqrt(12)))\/(-5*sqrt(24)))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 10*u + 7. Let a be h(-6). Let i(o) = -8 - 11*o + 8 + a*o. Let v(m) = -2*m**2. Determine i(v(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 4*x + 3*x)*(3*x**4 + 0*x**4 - x**4 + 4*x**4 - x**4 + 2*x**4 + (6*x - x + 0*x)*(-4*x**3 + x**3 + x**3)).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**4\/12 - i**3\/2 - 2*i. Suppose -a - 28 = 6*a. Determine w(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 688 and 0.1.\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 779, -569 in ascending order.\nAnswer: -569, -4, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1532518, 3065044, 4597576, 6130120, 7662682, 9195268?\nAnswer: 10727884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-14)\/(-63)))\/1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + j + 10 = 4*j, 0 = -5*f + 3*j + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1154652902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.48 - -3.2. Let g = 8.1 - 9.42. Let u = g - v. Is u < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 4. Suppose 12*c - 11*c = -4. What is u(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*g*h*z**3 + 24*g*h*z - 31*g*h - g - h*o*z + 5*h*o - 2*h + 11*o wrt z.\nAnswer: 123*g*h*z**2 + 24*g*h - h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1042 + 484. Round o to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from evkceuu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, m: 2, w: 2, r: 2, i: 4, n: 3}. What is prob of picking 2 m?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0.1 (b) 3\/58 (c) -6.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 - r**5 + (2*r**5 - 5*r**5 - r**5)*(-2 + 0 + 1).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 57 + 43. Let s(y) = -6 + y + 3*y - a*y. Let o = -4 - 1. Calculate s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 161. Let u = -6 - p. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-10))\/2)\/((-117)\/(-65))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.489733 grams to milligrams.\nAnswer: 5489.733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946787298?\nAnswer: 2, 23, 6221, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a factor of 5545444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 59 + (1 - -2 - -7) - (-3 - -16).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 7. Let j(i) = 2539*i. Calculate j(g(h)).\nAnswer: 5078*h - 17773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 1280708.\nAnswer: 1280708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/3 + (5 - 17\/3). Suppose j*z = 27*z - 125. Solve -p + 7 = 4*o + o, 13 = 3*o + z*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 33. Let n be f(16). Let p be (-54)\/(-243) - (-8)\/(-90). What is the nearest to 2 in n, 4\/5, p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6061 (b) 5\/6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 213 + 6?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 23*h + 160. Let j(n) = -36*n - 241. Calculate -5*j(l) - 8*r(l).\nAnswer: -4*l - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6928376 * 1.\nAnswer: 6928376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f - 4. Let a(d) = -9*d + 7. Let s(o) = o**3 - 4*o**2 + o - 2. Let c be s(4). Suppose 11 = 5*u - p + 47, -c*u + 4*p = 18. Determine u*g(k) - 4*a(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:13 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9489011l?\nAnswer: 948.9011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 10. Let v be y(2). Let t be (-39720)\/135 - (-1)\/(9\/v). Let o = t + 442. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -36, -40, -44, -48, -52?\n\"Answer: -4*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3664.703 and -0.15.\nAnswer: 549.70545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191 + -191. Let o(u) be the second derivative of -4*u + 1\/42*u**4 + s + 1\/35*u**5 + 0*u**3 + 0*u**2 + 1\/105*u**6. Find c, given that o(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + 2. Let k = -3.98 - o. Which is the nearest to -0.1? (a) -5 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*p + 31011 - 26961 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(2646\/(-36))*(-7)\/6*57.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**2 - 2776388*h - 189259032?\nAnswer: 6*h - 2776388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69252 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*w - 300, 0 = w + b - 5*b - 125. Calculate the remainder when w is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-5) + 6\/15. Let v(t) = t - k*t + t. Let z(u) = -u**2. What is z(v(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:07 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02941 rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - c26c3?\nAnswer: -c26c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1326*r - 3968. Determine b(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 611805148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50100273 - -26.7?\nAnswer: -50100246.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.08, 6\/7, -2\/13, -1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 46. Which is the closest to f? (a) -4 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c + 13. Suppose -7*m + 20 = -3*m. Let q(d) = 1 + m - 7*d - 1 + 1. Let o(j) = -6*b(j) + 13*q(j). Let n(a) = -a**2. Determine o(n(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - f + 257. Is k(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 65 = 79. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -13, -44, -87, -142, -209, -288?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 2*v - 97 + 10 + 47.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 204, 321, 446, 579?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 685, 671, 649, 619, 581, 535, 481?\n\"Answer: -4*r**2 - 2*r + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 5*r - r. Let s = 226 - r. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41912 and 13205504.\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4)\/(-10))\/(4631\/(-4210)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2)\/((-6)\/2). Suppose -2*s + x = -8. Let w be (-22)\/s + 15 + -11. Which is the biggest value? (a) 4 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307393 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + 34. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**8\/1512 + y**7\/315 + y**6\/180 + y**5\/270 + 3*y**2\/2 + 2. Let q(n) be the second derivative of h(n). Factor q(l).\nAnswer: 2*l**2*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25500 times 0.031?\nAnswer: -790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6205 and 115.\nAnswer: 142715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/36 - -4 - (-10512)\/648.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 0 (c) -1 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 0, -2*r - 5*t - 34 - 80 = 0. Let c = -23 - r. What is the highest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2613442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r**2 + 37*r**2 - r - 12*r**2 - 4*r**4 + 3*r**4 + 9*r**3 - 10*r**2 to the form p*r**4 + t + l*r + w*r**3 + v*r**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v\/v**(2\/3))\/v*v)\/v*v)**(-18)*(v**0)**(2\/145))\/((v\/(v**(2\/7)\/v*v))**(-1)\/(v**(-5)\/(v*v**(-3)\/v))) assuming v is positive.\nAnswer: v**(-177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 23*x + 23. Let c(z) = 3*z**2 + 21*z + 22. Let p(y) = -7*c(y) + 6*q(y). Calculate the remainder when 165 is divided by p(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/3))\/(((b**3*b)\/b)\/b))**(3\/46)*(b*b**2*b**6)**(32\/7) assuming b is positive.\nAnswer: b**(6610\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = -7. Let b be (5 + x)*(-2 + 0). Suppose 6 = b*v - 0*v. Solve -4*n + 8 = -2*d, v*d + 3*n + 2*n = 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0484 - 18.6484. Let u = g - -27.6. Put u, -0.5, -2\/21, -3 in ascending order.\nAnswer: -3, -0.5, -2\/21, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104 or -314\/3?\nAnswer: -314\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2731 = -0*d - 5*r, 3*r + 1364 = d. Let t(u) = 2740*u**2 + 4 - 1371*u**2 - d*u**2. Let p(h) = -5*h**2. Give t(p(n)).\nAnswer: -100*n**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l. Let p(q) = 11*q. What is 5*k(t) + 6*p(t)?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2470730 + 2471038 = -11*d for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 + 95486693311?\nAnswer: 95486693312.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 667496025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4828 + 21186. Calculate the remainder when r is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1777 times 2\nAnswer: -3554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmui. What is prob of sequence wm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**3\/3 + 5*u**2\/2 - 6*u - 7. Let a be x(2). Solve -5*o - 4*p - 5 = a, 0 = -3*o - 0*o + p - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-342677)\/(-74495)*(-1)\/(-391).\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 108 + 9 = 0. Let w(k) = 38 - 71 + n - k**2. Let i(m) = -17*m**2. What is w(i(h))?\nAnswer: -289*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*k + 3288 = -638 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:42 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -421, 4, -1\/3 in descending order.\nAnswer: 34, 4, -1\/3, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -68*g + 93. Give d(4).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895916.\nAnswer: 2, 3, 11, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76)*1 - sqrt(76))*-1)\/(sqrt(16)\/(sqrt(8)\/(sqrt(2) + sqrt(18) + sqrt(2)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c28 - -4?\nAnswer: -5c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 divided by 1?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/12 + (-89)\/(-3). Let z = -4577 + 5766. What is the greatest common divisor of z and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*b**2 - 38*b**2 - 42*b**2 - 10*b**3 wrt b?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1911145.\nAnswer: 5, 382229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 11*o = -1145. Suppose 1 + 3 = 2*f. Suppose -f*y = -2*k - k + o, -2*k - 3*y + 157 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2618 and 162554.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - h = -l - 5*l + 3*h - 12, 4*h = 33*l + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12))\/(-5 - (-1910)\/380) - -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2134, -8060, -17936, -31762?\nAnswer: -49538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 138.3. Let q = i + -0.3. Let n = q - -7. Which is the third smallest value? (a) 0.1 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4309*z**2 - 4305*z**2 + 2*z**4 + 3 + 8669*z**2)*(-17 + 6 - 15) to o + i*z**2 + n*z**4 + a*z**3 + q*z and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) 62 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-5))\/(2\/5). Suppose 3*s + 58 = -5*f + 188, 4*f + z*s - 104 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 + 7 = r, 2*l - 4*r = -16. Let i = 281 + -270. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/5 + -1\/20. Let r(z) = z**3 + 8*z**2 + 5*z - 10. Suppose 2*d + 17 = l, 0*l = -3*l + 9. Let g be r(d). What is the nearest to -2 in 0, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168)*2)\/(sqrt(162) - (sqrt(162) + -1*sqrt(162)) - sqrt(2)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 508259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4 + 3)*1)\/((-6)\/24). Let a(f) = -1. Let h(n) = -n + 1. Determine o*h(b) + 4*a(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q - 32. What is s(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 30 = -2*h. Let r(b) = -b**3 - 7*b**2 - 5*b - 1. Let c be r(h). Let u(q) = q + 9. What is the units digit of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + (-19 - (46 + -74))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*4)\/((sqrt(4) + sqrt(12)\/sqrt(3))*5 - sqrt(4)).\nAnswer: 8*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvwwwwwvwww. What is prob of picking 2 v and 1 w?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -52. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 3. Let m be i(-3). Let r be m + 9\/(-6 + 3). What is the second derivative of -2*w + 2*w + w + w**3 + 2*w**r wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421656 (base 7) to base 10.\nAnswer: 72708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -0.1. Let p = 16 + -12. Sort p, -0.5, g in descending order.\nAnswer: p, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 408*s - 28139. Give d(-319).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4467*k + 42877 - 144464 = 153032 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -21\/17 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19472 + 1752427\/90. Calculate the common denominator of u and -35\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j**3 - 15*j**2 + 25*j - 11. What is the thousands digit of u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.04, -3\/2, -1\/3, -3\/5, -429?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -10. Let c(q) = -4*q - r + 3*q**2 + q - 2*q + 3*q. What is the units digit of c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 224*s - 1344. Determine q(-2).\nAnswer: -1792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 5. Let a be i(-6). Suppose a*n + 76 = 9*n. What is the remainder when n is divided by 4*-5*(-2)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3591 = 4*n - 13*n. What are the prime factors of n?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 8118.\nAnswer: -47\/8118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 11*v**2 - 48*v - 24. Let n be x(-14). Suppose 0 = -0*a - 2*a + 12. What is the greatest common divisor of n and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41786 divided by 2\nAnswer: 20893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852826 is divided by 730.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*g + 2*g. Suppose 2*z = -g*p + 262, -2*p - 74 = -z - 211. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11445 divided by 7\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1263\/5 + -253. Suppose -42 = 3*m - 27. What is the closest to 0.2 in d, m, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + (-2)\/4. Let p(u) = 27*u + 5. Let h = 1772 + -1778. Let t(n) = -23*n - 7. Let k(w) = h*p(w) - 7*t(w). What is k(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*b = -160, d - 2216 + 2203 = 4*b for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/3 + 11\/3. Is i greater than or equal to 6\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**4 - 13415*c**3 - 337660*c**2 - 2274000*c - 1949760 = 0.\nAnswer: -12, -1, 2708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0*p)**(-5\/4)\/(p**(2\/5)\/(p\/(p*p**(-2)*p*p)))*(p**1)**(-31\/3)*(p**1)**(-5\/12) assuming p is positive.\nAnswer: p**(-273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1. Let f(k) = -14*k - 6. Let n(m) = f(m) - 6*u(m). Let x(v) = 6*v**2 - 8*v. Let h(a) = -4*a**2 + 5*a. Let p(t) = -8*h(t) - 5*x(t). What is p(n(j))?\nAnswer: 392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42034*k**6 - 215*k**2 - 14*k wrt k.\nAnswer: -5044080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 843 - 1743 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 8*s**2 + 8*s + 9. Suppose 0*t + 2*b = 2*t + 10, -4*t = -5*b + 18. Determine i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 347959903 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.08711 + -0.00461. What is s rounded to one decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + -229. Let h = 474 + g. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(40) + sqrt(280)\/sqrt(7))*-5 + sqrt(40))\/(sqrt(88)\/(sqrt(11)*-2) - sqrt(8)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(10\/(-4) + 2). Suppose p*o = -0*o - 80000. Round o to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*n - 8042 - 54580 = 0. Solve -12*v = -n + 210 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -78946776.\nAnswer: 1\/39473388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) -0.35 (c) 0.04 (d) -5 (e) 3124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-306*d**3 - 7994 + 7994) + (3 - 3 - d)*(0*d**2 - 2*d**2 + 0*d**2).\nAnswer: -304*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*f = -4, 5*w + 5*f - 12 - 18 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -420\/121 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*t - 41, 0*i + 3*t - 164 = -4*i. Suppose 2*l + 0*l = 158. What is the remainder when l is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-63)\/189.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506690 is divided by 150?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -915845.24 rounded to the nearest 100?\nAnswer: -915800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-256)\/(-640))\/((-1)\/40))\/(-1) - 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, a: 8}. What is prob of picking 1 a and 1 m?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/24*5 + -6*(-34)\/153. Determine v, given that 2*v**3 - 2*v + 3\/2 - i*v**4 - v**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56 and -24.\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from sssww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -15)*(3\/2 - 2). Let v = 33 + y. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3584.\nAnswer: -3\/3584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-two fifths of a century?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/403 - 373\/1209. Let t = -0.2 - -0.1. What is the closest to -0.04 in 0.3, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-27)\/(-6))*(-27)\/(-42)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.7 - 7.2. What is h rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15558452?\nAnswer: 2, 7, 13, 42743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5414306.\nAnswer: 2, 47, 239, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1075 rounded to 2 decimal places?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 936 = 2*r + 954, -u = 4*r + 26. Let z(o) = -13*o**2 - 7*o + 4. Let n(q) = 4*q**2 + 2*q - 1. Determine r*n(f) - 2*z(f).\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h, 3*c + 2*h - 4*h = 3. Let i = c + 3. Let z(v) = v**3 - 3*v**2 - 8*v + 2. What is the tens digit of z(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 4. Let d(j) = 3*j + 7. Let x(t) = -2*d(t) + 5*n(t). What is the units digit of x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56.49 and -5277190026.\nAnswer: -5277190082.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3, g + 2*j = 4*g - 6. Let d be 6 - (3 - (g + -3)). Solve 6*y - 7 = -3*o + d*y, 0 = -o + 3*y + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18))**1\/((p\/((p**(10\/11)\/p)\/p))\/p**(-1\/39)) assuming p is positive.\nAnswer: p**(-8630\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11199, 34, -10 in decreasing order.\nAnswer: 11199, 34, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3258*y + 4407*y + 1 + 6753*y.\nAnswer: 7902*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.15 + -0.15. Let y = -1 - -1. Which is the third smallest value? (a) 0.4 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -0*x - 15*x. Is 6 a factor of (-3)\/((-1748)\/(-584) - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:55 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -50.02. Let k = -0.5858 - -0.0858. What is the closest to -2 in 0, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 divided by 4?\nAnswer: 955\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12968, -3, -425 in descending order.\nAnswer: -3, -425, -12968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1591188 by 8202.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:32 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*v - 890*v + 0*v**2 + 353*v - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60917 is divided by 20250?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 81*z - 24. Let y(s) = -23*s + 7. Let a(b) = 5*n(b) + 18*y(b). Let f be 10\/45 + 364\/63. Let i(q) = 8*q - 5. Give f*i(c) + 5*a(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -6. Suppose 2*y + q*y - 8 = 0. Let b be (5 - 3)*(-30)\/y. What is b rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - 63*a + 58. Calculate the smallest common multiple of 299 and p(17).\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n - 40*n + 100 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/72 - r**5\/12 - 5*r**4\/24 + r**3\/3 - 13*r**2. Let v(k) be the first derivative of c(k). Factor v(i).\nAnswer: -5*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 + -52868.\nAnswer: -52727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 20*g + 2. Suppose 0 = -6*q + 3*q + 12. What is the smallest common multiple of d(1) and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + -35. Let v = -191 - u. Let y be (v\/(-15))\/(6\/(-1750000)). Round y to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18237 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 22473696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 4256.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26018 divided by -1?\nAnswer: 26018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukyq when four letters picked without replacement from aykyukkkykqkau?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1964, 4018, 6084, 8162, 10252?\nAnswer: 12354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 7410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:56 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/3 (b) 459 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -330530418, 1, -3 in decreasing order.\nAnswer: 1, -3, -330530418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 788147 and 788145 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*v**3 + 4\/5*v**2 + 6\/5*v.\nAnswer: -2*v*(v - 3)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-525)\/(-84)*-8). Let c(b) be the third derivative of 0 + i*b**5 + 0*b + 3\/40*b**4 - 2\/5*b**3 + 30*b**2. Factor c(h).\nAnswer: 3*(h - 1)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 148108250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 4, -7, -12, -5, 20?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224\/(-24)*2188530\/(-120) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8964\/(-1743)*(-2)\/(-8)*-42\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 237*l**3\/8 - 1635*l**2\/8 - 34923*l\/4 - 882 = 0.\nAnswer: -14, -8\/79, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 23 = -t, -3*m - 4*t + 20 = -0*m. Is 141*2*4\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 84*a + 9. Is 55 a factor of o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -28*j**3\/3 - 2522. Let q(f) = -9*f**2 + 3. What is o(q(n))?\nAnswer: -2268*n**4 + 1512*n**2 - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 222*(-2)\/(-6)*-3. Let v = -152 - a. Calculate the common denominator of -2 - (145\/v)\/1 and -51\/92.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 1896?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1240\/(-7378) - 4\/34.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (168\/(-7))\/8*(-4)\/2. What is the third derivative of 2*f + 16*f**2 - 11*f**2 - 2*f**k - 3*f**4 - 3*f**2 wrt f?\nAnswer: -240*f**3 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1076 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6 and ((-66)\/16)\/(276\/(-80)).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 172 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -9, -0.1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let a be i\/(-1 + (-4)\/(-6)). Suppose a*f + f = 56. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 2*j**2 - 3*j + 2. Let u(p) = -p**3. Let y(x) = c(x) - 2*u(x). What is the tens digit of y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (41 - 14) + -38 + -135.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -556, -456, -346, -220, -72, 104, 314?\n\"Answer: h**3 - h**2 + 96*h - 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 492, 1898, 4262, 7698, 12320, 18242, 25578?\nAnswer: 34442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (127 - 3)*1\/(-2). Let n = k + 78. What is the highest common divisor of 128 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006047 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52278833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 10. Let r be ((-26)\/1)\/2*-1. Suppose -5*h = -7 - r. What is the remainder when d(16) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 2, f: 4, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -40*k**3 + 4*k**2 - 3*k. Suppose -g + 3 = 3*g + q, g + 2*q = -8. Let a be o(g). Round a to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251336 is divided by 3988.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9542*a - 543900. Calculate m(-57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2450, -15, -1.\nAnswer: -2450, -15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -42. Calculate the highest common factor of s and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 2*p**2 + 2*p. Let l = 4 + -6. What is the smallest common multiple of (6\/(-48))\/((-2)\/16) and y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 455\/28 - 9 - (-2)\/(-8) - (33 - 3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(56)\/sqrt(7) + sqrt(288) + sqrt(32).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (0 + -16)) + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -619 (base 10) to base 5.\nAnswer: -4434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 192722400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -29*p**3\/3 + 11. Let j(x) = x**2. Calculate r(j(i)).\nAnswer: -29*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 - -221.84. Let q = 2.160125 + f. What is q rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5 + 4*4*(-1 + sqrt(175)))*6)**2 + -2.\nAnswer: -120960*sqrt(7) + 1628674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 7*j**2 - 242. Let q(x) = 9*x. Give 5*l(g) - 7*q(g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*s + 3*v, -4*v - 36 - 35 = -s + 14 - 120 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-846*30\/1080?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 23*l + 23*l**2 + 9*l + 0*l - l**3 - 1. Is c(24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*z + 4*c = -663*z + 3, 0 = -5*z - c - 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*p - 10 = -p, 0 = 2*i + 4*p - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5379 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**5 + 7*g**4 - 7*g**4 + (-8 + 2 - 1)*(2*g**5 - 2*g**5 + g**5).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121227953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 12*v**6\/5 + 233*v**3\/6 + 2*v**2 + 7*v. Differentiate w(q) wrt q.\nAnswer: 864*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (8\/5 + -2). Which is the closest to p? (a) 1\/2 (b) 0 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4000292 - -1048762. What is s rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39636 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23335523 (base 7) to base 9\nAnswer: -3778252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4 - 21910*b**3 + 197117*b**2 - 175208*b = 0?\nAnswer: 0, 1, 8, 21901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 3, g: 12, w: 3}. Give prob of sequence yyb.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -2*n - 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222628 is divided by 72845?\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71784, 574323, 1938364, 4594659, 8973960?\nAnswer: 15507019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (0 - -4) + -4. Let v be 2\/((13\/(-1))\/s). What is the closest to 2 in 0.2, v, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:20 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75138613 by 3.\nAnswer: -75138613\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*b - 5, 3*i + b = i + 13. Suppose 4*x - 6 = 3*q + 20, 4*q - 8 = 0. Solve i*s = x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124225?\nAnswer: 5, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1811b4 (base 12) to base 4.\nAnswer: -1211233120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.4 - 24. Let t = -2.1 - s. Let x be 1 + (-11)\/6 + 1. Put x, -4, t in decreasing order.\nAnswer: x, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(5\/4)*f\/(f*f**(-4\/3)))\/(f\/f**(1\/2)*f)**19 assuming f is positive.\nAnswer: f**(-287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (1 - (-7 - (6 + -8))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (203\/(-4))\/((-4)\/16). Calculate the greatest common factor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -42, 4, -5\/3, 0.609, 0.1 in decreasing order.\nAnswer: 4, 2, 0.609, 0.1, -5\/3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/273 and 16\/9.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -14\/45*d**3 + 9 + 8\/15*d**2 + 8\/15*d - 1\/6*d**4. Let o(v) = 0. Calculate v.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -52433624?\nAnswer: -52433621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1743 is divided by 149?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.59 - -3.2. Let g = s - -18. Let f = -0.39034 - g. What is f rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -29*w - 25. Let b be s(-6). Differentiate -346 + b - 11*h**3 + 165 wrt h.\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -960 - -19119\/20. Find the common denominator of t and 61\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 2946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 32 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111430342 - -2?\nAnswer: 111430344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 4*z**2 - z + 2. Let t be k(-2). Which is smaller: -7 or t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130321*n**2 - 29729794*n + 1695545329.\nAnswer: (361*n - 41177)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 10*p + 3. Let m(r) = r**2 - 1. Give b(g) + 3*m(g).\nAnswer: 2*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m = 446 + 258 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2029, -4050, -6071, -8092, -10113?\n\"Answer: -2021*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (33 + 2)*(-78)\/7. Let r = q - -384. Let h(y) = -y**2 - 4*y + 7. What is h(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(9\/4))\/h)\/h*h)\/h**(6\/7))\/(h**14\/(h\/h**5*h)) assuming h is positive.\nAnswer: h**(-563\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - m**3 + 3*m + 3*m**2 + 0*m - 3. Let v(x) = 0*x + 3*x**3 - 7*x**2 + 5*x - 2*x**3 - 3 + 2*x. Let d be v(6). Determine f(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16878930589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16557 - -16562. Solve 5*t - 5 = -3*q - 1, 0 = c*t + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 5 - 7*z + z + 7*z in the form q*z + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1446 + -1446.043. What is the biggest value in -3, a, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/(3\/(-12)). Suppose k*r = 3*r - 41. Suppose -r = -c - 4. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 118421*s**2 + 59140*s**2 + 59286*s**2 + s.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**8\/2184 + p**7\/1365 + p**6\/130 - 2*p**5\/195 - 2*p**4\/39 - 4*p**2 + 7*p. Determine m so that c(m) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o)**(-45)\/((o\/o**(1\/4))\/o*o*o**(1\/6)*o*o) assuming o is positive.\nAnswer: o**(-2735\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b - 35. Let l(c) = c**3 + 8*c**2 - 11*c. Calculate the remainder when l(-9) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (4 + (sqrt(176)*-2 - sqrt(176)) - (sqrt(176) + -1 + 4)) + (sqrt(176) + 5*sqrt(176) + sqrt(176))*4 + -4)*2)**2.\nAnswer: -5376*sqrt(11) + 405700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + (75 - 78).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*q + 40 = -140. Let t(h) be the first derivative of 4*h - 13\/4*h**q + 0*h**3 + 0*h**2 - 13. Find the first derivative of t(l) wrt l.\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35206, -70020, -104834, -139648, -174462, -209276?\n\"Answer: -34814*p - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 393 - 375 = 0. Let j(b) = -2*b**3 - 3*b**2 + 8*b - 5. Let h(o) = -o**3 - 2*o**2 + 4*o - 3. Calculate s*j(i) + 5*h(i).\nAnswer: i**3 - i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6078694 + 6078735 + 15*z**3 - 12157429.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2490 + -2461.11. Let a = j - -0.11. Let w = a - 32. What is the nearest to 1 in -0.2, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 5*k - 404, -5*u - 2*k = -2155. Let f = -179 + u. What are the prime factors of f?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 4:39 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203061 or -589?\nAnswer: 203061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - d + 0*d**2 + 2*d - 24 - 3*d + 2*d**2 to the form o*d**2 + g*d + s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o - 2. Suppose -d - 4*d + 3*k = -30, -3*d + 34 = -5*k. Let h be 6\/d + (-1 - -1). What are the prime factors of a(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -0.22, 3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3195)\/(-300))\/(-3*(-1)\/2) - 7.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2 (b) 0 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 347524999*p + 84961129 wrt p.\nAnswer: 347524999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 16 - 4 - 2\/(-2).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let r(u) = 0 - 4 - 2 - 3*u. Let b(g) = -292*g - 2627. Let d be b(-9). What is d*r(q) + 2*p(q)?\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 333?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -273 + 273.2. Suppose -3*n + 38 = n + 5*z, -58 = -4*n + 5*z. Let i be (-30)\/(-8)*n\/(-120). Is i equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148653 is divided by 319?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723287 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**8\/6720 - t**7\/630 + t**6\/360 - t**5\/60 + t**4\/4 + 5*t. Let m(u) be the third derivative of k(u). Determine m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 7*x**2 - 4*x. Let q be c(-7). Let m = 52 + q. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*n + 3*n**2 + 6*n**2 - 442*n.\nAnswer: 9*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1. Let f(j) = -j - 1. Let g(t) = 4*f(t) + 4*k(t). Let z(w) = -w. Let b(c) = g(c) - 5*z(c). Let x(s) = 4*s**2. Calculate x(b(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -0.2?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 554265140 and 715?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 663\/4*k**2 + 3\/4*k**3 - 36963\/4 + 36297\/4*k.\nAnswer: 3*(k - 1)*(k + 111)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/12 - 5*w**3\/18 + 4*w**2\/3 + 75*w. Factor z(l).\nAnswer: -(l - 1)*(3*l + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2 - 1\/2*s**2 + 9*s. Let q be d(6). Solve -a - i - 4 = i, 2*a = q*i - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 48.7?\nAnswer: -61.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73 + (4 - 7))\/((-205)\/41).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -45*v + 0 - v**3 + 1\/6*v**4 - 5\/2*v**2 - 7\/20*v**5. What is the units digit of s(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.091 + 2.251. Is 0.073 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58000 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - (1 + -1 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 30. Let u = 29 - 20. What is the remainder when s is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Suppose -w + 5*v - 9 = 2*v, 5*w + j*v - 35 = 0. Let p(n) = 11 + 2*n**2 - n**2 - n - n**3 + 2*n**w. Give p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 11) to base 10\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15989619 or 1?\nAnswer: 2\/15989619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552\/(-920) - ((-1278)\/(-20) + -4*(-35)\/40)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**8\/10080 + 11*g**5\/20 - 197*g**2. Let o(i) be the third derivative of n(i). Let j(p) = p. Determine o(j(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 83*l**5\/60 + 22214*l**2. Let a(s) be the first derivative of -2*s**3\/3 + 1. Determine j(a(i)).\nAnswer: 332*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7172 - 7137. Solve j*b - 10 = -4*o + 30*b, 0 = -2*o - 5*b + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 225580.\nAnswer: 902320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4791004 is divided by 4790689.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 9. Suppose -3*k + 12 + 0 = c. List the prime factors of (4*5)\/(-2 + k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/h*h**6 assuming h is positive.\nAnswer: h**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043750908 to 7 decimal places.\nAnswer: 0.0004375","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 83.18066 millilitres to litres.\nAnswer: 0.08318066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1638915 = -37499*w + 37514*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**2 + 0 - 1\/3*i**3 + 1\/12*i**4 + 16*i + 40371\/20*i**5. Let w be j(-3). Round w to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*d + 12, d + 4*z + 3 - 23 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j - 9*j - 10*j - 9*j to the form y*j + g and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (78\/(-91) - (-494)\/(-273))\/(4\/(-42522))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244359*1.46\nAnswer: -356764.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9)*810\/20)\/((5031\/(-78))\/43)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/5)\/o*o**1 assuming o is positive.\nAnswer: o**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 5, b: 5, v: 3, e: 4}. Give prob of picking 1 b and 2 v.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 6:05 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12628*p + 41884 - 32944 = -4798*p - 186810 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -362\/1071 + 8\/153. Which is the closest to l? (a) 4 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 21, 19, 9?\n\"Answer: -4*z**2 + 18*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1368 and 57656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*r - 7*r. Suppose -9*h - 168 = -15*h. What is the greatest common divisor of h and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = 2*m. Calculate the remainder when 39 is divided by (m + 2)*(-5 + 25).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let u be (-20)\/(-6)*36\/(-24). Let r = 12 + u. Let y(t) = 3*t. Determine r*q(c) - 4*y(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 + 12*n**2 + 10*n + 1. Let f(t) = -2*t**3 + 6*t**2 + 5*t + 1. Let v(y) = -7*f(y) + 3*w(y). Let q = -16 + 10. What is the tens digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(24\/3))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d\/d**(-9)*d**1\/((d**(-3)*d)\/d))\/((d**(-2))**(-49)*(d*d*d*d**(9\/2)*d*d*d)\/(d*d\/(d*d*(d\/d**(3\/8))\/d))) assuming d is positive.\nAnswer: d**(-753\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -71 + (-6 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 69504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -304\/9239?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 794539137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 45*v - 23. Give b(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828 + 1128 = 2*y. Find the common denominator of -49\/5 and -4 - y\/(-285) - (-1)\/5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 - 172. Which is the nearest to -0.1? (a) 2\/13 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p + 3*a + 32 = 0, -20 = 5*a. Suppose -y + 2*x = 4*x + 8, -y - 6 = p*x. Let z = y - -12. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -58. Let j = -21 + s. Let y be (3 - (j - -2)) + -2. Calculate the greatest common factor of 11 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(0 - -2 - 40\/(-16)). Find the second derivative of 2*s**5 + f*s**3 - s - 102 - 96 + 196 - 6*s wrt s.\nAnswer: 40*s**3 + 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(-1086 + (13 - 12)).\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*r**2 + 1229 wrt r?\nAnswer: -38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h**3 - 3*h**2 - 2*h. Give p(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 322628320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*t**2 + 8*t**3 - 3*t**3 + 2*t**3 - 8*t**3 as v*t**2 + z*t**3 + n*t + q and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122 + 2?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11214473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 - -292. What is the second derivative of -29 + 3*n**3 - 60*n + 5*n**2 - n**l + 10 + 17 + 10*n**2 wrt n?\nAnswer: 12*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 337792 and 1624.\nAnswer: 337792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*p = -161*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5 + 159*w**4 - 456*w**3 + 300*w**2 = 0 for w.\nAnswer: 0, 1, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 - 2. Let j(i) = 4247*i**2 + 12. Determine -2*j(d) - 12*w(d).\nAnswer: -8542*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.25543 litres?\nAnswer: 3255.43","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6914.735l to millilitres.\nAnswer: 6914735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -120 - 1181 - 2*c - 238. Let x(s) = -2*s**2. What is l(x(u))?\nAnswer: 4*u**2 - 1539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Let q = -16 - -15.8. Is f less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m + 28 + 29 - 64 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3490*c - 42416 + 42416 + (1 - 1 + 2*c)*(3 - 2 - 2) in the form g*c + z and give g.\nAnswer: 3488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(80\/45)*2\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3961 and -1.7.\nAnswer: 6733.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -16*g - 42 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/135 - j**5\/27 + j**4\/54 + 4*j**3\/27 - 2*j**2 - 37. Let s(a) = 0. What is a?\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 28. Determine q(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -7) + -5 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 4*y**2 + y. Let i be c(4). Find the third derivative of i*p**3 + p**2 - p**2 - p**2 wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9306 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t - 35*t - 4*j = 28, -3*t + 2*j + 24 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -3*w**5\/2 - 121*w**4\/3 + 508*w**3\/3 + 72*w**2 - 11019*w. Suppose u(a) = 0. What is a?\nAnswer: -18, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 47. Solve x + 11 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m + 114*m + 65*m - 10*m + 101*m.\nAnswer: 249*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398*x + 388 = 1124*x + 4498 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3177 and -6.5?\nAnswer: -8.56505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -17*t + 45. Which is the nearest to 0.07? (a) 1 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 339*u**2 + 7*u + 8. Let g(r) = r**2 - r - 1. Let z(l) = c(l) + 4*g(l). Let h be z(-1). Let i be (-9 - -9) + h\/(-174) + 2. Is i equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 79*l**3 + 22*l**2 + 5*l. Let g(z) = 20*z**3 + 5*z**2 + z. What is -9*g(d) + 2*r(d)?\nAnswer: -22*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/387 and 57\/7.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -531263\/11 - -48328. Let t = -33 + i. Is t < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 3. Let p(w) = -3*w + 4. Let n(h) = -4*m(h) - 3*p(h). Let t(q) = -9*q**2. Give n(t(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2657487\nAnswer: -5314974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 82*r**3 - 36*r**3 - 2*r**2 + 33*r + 3*r**2 + 8*r wrt r.\nAnswer: -708*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 + -672\/5. Let b = -3 + 1. Let f be 0 + (-2)\/4*b. Is x <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u - 5*k - 86 = 0, 4*k = 2*u + 30. Let l be (8\/(-12))\/((-4)\/(-18)). Sort -1, l, u.\nAnswer: u, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:25 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 12 - 36 + 20 = 3*o, 18*k - 18*o + 74 = 8*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*c - 228*c + 249*c**3 - 150*c + 62*c**3 - 229*c.\nAnswer: 311*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 908975 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/3 + (-2)\/6. Suppose -z*r + 8 + 8 = 0. What is the third derivative of 3*g**2 - 2*g**r + 5*g**4 - 2*g**2 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 1\/20*z**5 + 0*z + 0 - z**2 - z**3 - 1\/8*z**4. Factor s(g).\nAnswer: 3*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1278.74 to the nearest 10.\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 6*h. Let s be r(7). Let z(d) = 2*d + 8. Let i be z(s). Suppose i + 11 = 3*l. Calculate the lowest common multiple of 6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6729?\nAnswer: 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2.65, -9045, 2\/17?\nAnswer: -9045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2 (c) 0.2 (d) -5 (e) 4\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97 + 29 + 171)*(s - 3*s + 4*s + (s + 0*s - 2*s)*(-3 + 1 + 0) + 4*s + 0*s - 5*s + 4*s - s - s) to the form m + v*s and give v.\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98900 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5021819 take away 14?\nAnswer: -5021833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, u: 2, h: 1, p: 6}. What is prob of sequence hpu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 3*w)*(5*w - 5*w + 3*w**2)*(63*w**2 + 14*w**2 - 23*w**2 + 42*w**2).\nAnswer: -864*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 123*m**2 + 1524*m - 222. Determine n(-109).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 33 = 3*h. Let i be h\/(-70)*14\/(-18). Factor 2\/9 - i*s - 2\/9*s**2 + 2\/9*s**3.\nAnswer: 2*(s - 1)**2*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyryrryryyryr. What is prob of picking 1 r and 2 y?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 160, 338, 728, 1342?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/20815 or -1?\nAnswer: 2\/20815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k - 9. Let r(o) = -o**3 + 9*o**2 + o - 9. Let d be r(9). Calculate the smallest common multiple of k and (-15)\/(-5) + d + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7643 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300)*-1 + sqrt(198)\/sqrt(96))\/(sqrt(88)\/sqrt(512)*5).\nAnswer: -78*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, -2\/17, -135?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3746906.\nAnswer: 2, 347, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + g + 1166 = 0, -4*g = 9*r - 10*r + 611. What is the fourth biggest value in 2\/3, -4, r, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -1*(-9)\/3. Let a = z - -8. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(42\/640))\/((976\/(-576))\/61) a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 5*y + 1 + 1)*(3 - 3 - 2*y)*(-2 - 1 + 2)*(130 - 369 + 96).\nAnswer: 286*y**2 - 572*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000265218 rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011542 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2864*r**3 + 544*r**2 - 1.\nAnswer: 17184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - y - 1. Let q(f) = -5*f**3 - 7*f**2 - 5*f - 5. Let u(s) = -q(s) + 5*r(s). What is the third derivative of u(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 13 - -34) + -45 + -15?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x**2 + 3*x - 1. Let p be ((-322)\/(-21))\/(2\/6). Suppose p = q + 40. Suppose -5*r - 4*g + 31 = 0, -2*r - 2*g + 5*g = q. Determine y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2166 + -1996 - (-1 - (-21 - -5))?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-120) - 4\/(-60).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1289262 centuries to months.\nAnswer: 154.71144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -186326*y - 1304281. Determine b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n. Let q be 2 + (-2 - n\/1). Solve q = 5*m - m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h. Let a be p(-3). Let b(s) = a*s + 3*s**2 - 16*s - 5*s**2 + 8*s - 1. What is b(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -3, -6 in descending order.\nAnswer: 2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 2. Let x be y(0). Solve 5*b + j - 12 = -4, -3*j + x = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)\/(3\/24*-1). Solve 0*q - b = -4*n + 4*q, -n = -2*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*v + 19. Suppose -v*i = f - 16, -5*f = -2*f - 4*i + 16. Suppose s**4 + f + 0*s**2 + 9\/4*s**3 - 3*s**5 - 1\/4*s = 0. Calculate s.\nAnswer: -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 8451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 4*sqrt(84))*-6 + 3*((sqrt(84) - (2*sqrt(84) - sqrt(84))) + sqrt(84)))\/(2*-3*sqrt(12)*3*2).\nAnswer: -7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261 divided by 1?\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -20, -2, 32, 88, 172, 290?\n\"Answer: p**3 - p**2 + 4*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 4513500?\nAnswer: 9027000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2805901\/36 - -307749\/4. Suppose 0 = 4*q - 5*k - 4049, -19*q + 986 = -18*q + 4*k. Let t = q + s. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1150\/92*(-22)\/5. What is the tens digit of 20432\/20 - 22\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -71, -209, -395, -617, -863, -1121, -1379?\n\"Answer: 2*y**3 - 36*y**2 - 44*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.52 and 0.13.\nAnswer: -0.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x. Let q be z(-1). Let w be q\/14 - (-64)\/28. Suppose 27 - 11 = w*p. Solve -p = 2*u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38553*m + 32184*m - 498*m.\nAnswer: 70239*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a + 70. What is c(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + g**2 - 3*g - 47. Let u(v) = 4*v**3 + 2*v**2 - 4*v - 48. Let o(l) = 2*u(l) - 3*w(l). Determine o(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*x + 1. Suppose 4*v - 3*r - 185 = 0, -131 = -2*v - x*r - 49. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 10*k - 3. Let a be s(-7). Let l = 6051 + -6035. Suppose a = 2*g - l. Calculate the greatest common factor of 90 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -24. Let q = -527 + 3693\/7. What is the second smallest value in z, -1, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15468775103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*v - 2*y - 110, -4*v + 4*y + 108 = 0. Let z be 11*6*12\/v. Calculate the greatest common divisor of 396 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + z. Let x be t(0). Let g(j) be the third derivative of x - 1\/24*j**4 + 0*j + 0*j**3 + 2*j**2. What is g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 800, 1234, 1018, -178, -2684, -6830, -12946, -21362?\n\"Answer: -55*r**3 + 5*r**2 + 804*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(0 - 6\/28). Suppose -2*l - 10 = -7*l. Is n + l + 2 + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36 - 80 + 39*f**3 + 52 + f**2 wrt f.\nAnswer: 117*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162\/65 + 9131\/195. Let p = x + -44. Which is the nearest to 1\/3? (a) p (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14583 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let h = g + 8. Is (-208)\/(-6) + 2\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5) + -3 + -4 - (-5 + sqrt(30)\/sqrt(6)))*-3 + 5 + 2)**2.\nAnswer: -78*sqrt(5) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*8\/(-6) + -6)\/2. Let u be 1 - 3 - (t + -153 + -3). Let d = u + -28. What are the prime factors of d?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y\/y**22))\/y)\/y**7)\/(((y*y**(-32)*y)\/y)\/y**(-6\/5)))**(-48) assuming y is positive.\nAnswer: y**(-10272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let t be 2\/(-1*2) + 0. Let z(j) = -820005*j - 1. Let s(v) = t*z(v) - 4*d(v). Let k be s(-5). Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -2. Suppose -x*j + 56 = -0*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 42*o - 19*o - 14 + 34 + 3 - 25*o. Calculate w(-12).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 11. Let h = 5 - g. Is 7 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2868749 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -35*l**3\/3 + 31. Let b(q) be the third derivative of q**5\/30 + q**2. What is h(b(a))?\nAnswer: -140*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.4 + 15.3901. Let m = d - -0.014. What is m rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21797\/11 - 1978. Find the common denominator of -4\/599 and p.\nAnswer: 6589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) 0.4 (c) -0.5 (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/58)\/i**(-4\/3)*((i*i*i*i**(-15))\/i)\/(i**6\/i) assuming i is positive.\nAnswer: i**(-2903\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2421133 + 10?\nAnswer: 2421143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 1295498.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.3 - 45. Let k = d + -0.3. Let c = -0.2 + 0. What is the nearest to 0.1 in 0.5, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2052 + 2052 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u. Let k(o) = -22*o. Let x(q) = 22*q. Let z(p) = 2*k(p) + 3*x(p). Calculate m(z(h)).\nAnswer: -88*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104713 and 588?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 - 4*f**3 - 6*f - f**3 + 6*f**3 to j*f + g*f**2 + s*f**3 + o*f**4 + k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72.573 and 1.922.\nAnswer: -70.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:08 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*d = -0 - 4, 0 = 3*v + 4*d - 26. Let f(s) = -s**2 + 7*s + 3. Suppose 85 + 2390 = 495*x. What is the smallest common multiple of x and f(v)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1570, -6252, -14094, -25096, -39258, -56580, -77062?\nAnswer: -100704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1915.\nAnswer: -191.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11011100011001100010010?\nAnswer: -11011100011001100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*v - 109, -2*m + v = -41 - 6. Suppose -5*a + 31 - 11 = 0. Suppose -51 = -a*j + m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26b0 (base 16) to base 14\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-60)*140\/(-6)?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*w - 24. Suppose -w*t + 0*t = 0. Let s = 4 + t. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7941, -7860, -7721, -7524?\n\"Answer: 29*o**2 - 6*o - 7964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21400 (base 6) to base 14.\nAnswer: 110c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/49680 and 83\/38340.\nAnswer: 3527280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(6)\/(sqrt(8)\/sqrt(4)))**2 + -2*sqrt(216)\/sqrt(8))*4.\nAnswer: -24*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331 = 308*t + 2493 + 610 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 smaller than 350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(80) + sqrt(5)))\/sqrt(11) + (sqrt(3)*1 + -2 + sqrt(3) - sqrt(30)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: -19*sqrt(3)\/5 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -931 - -2556. Calculate the remainder when l is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -111622275212113 and -4.\nAnswer: -111622275212117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 - -128.33. Let w = u - -0.67. Which is the closest to -1? (a) w (b) -3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 32. Put t, -5, 4, 0 in decreasing order.\nAnswer: 4, t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3340 + 1834 = 181*t + 2295 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q - 90 = -2*n, -q + 57 = -5*n. Suppose -5*y - a - a = -263, -y + q = -a. Let w = y + -25. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 5*k**3 + 2*k**3 - 1 - k**2 - 5*k**3 to c*k**4 + y*k + x*k**2 + d + s*k**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6223 and 183468?\nAnswer: 183467.3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.05 (b) -16 (c) 5.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*l + 717 = 0. Let y be (-1)\/1 + 459\/(-2). Let a = y + l. Find the common denominator of a and -45\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 25*h + 5. Let m be q(-3). Let w = m - -65. Sort 4, 2, -1, w.\nAnswer: w, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5783\/28 + 1444\/7. Which is the closest to -96\/5? (a) 0.1 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110002 - 1002?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 90 = 3*w. Let l = -3 - w. Let s = l - -41. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/21)*l)**20\/(l**(-3)*l*l**(2\/33)) assuming l is positive.\nAnswer: l**(4628\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -t + 39, -t - w = 3*w - 3. Suppose -5*v + t = f - 18, -v = -f + 37. Let x = f - 6. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 74. What is the lowest common multiple of n and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (144\/(-96)*(-2)\/3)\/((-3)\/(-192813)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -156, 707, 1578, 2463, 3368?\n\"Answer: i**3 - 2*i**2 + 862*i - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785560?\nAnswer: 2, 5, 41, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Let f be 72\/(-45)*(-5)\/a. Suppose -32 = 4*v + 4*p - 0*p, -5*v + f*p = 13. Put -4, v, 0 in descending order.\nAnswer: 0, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 768538 and 5.\nAnswer: 768543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s**(-16)\/s*s)\/s))\/s)\/s)\/s)**(-2\/5) assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 - 5*g - 684. Give a(0).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b - 12. Let g be j(2). Which is smaller: -46 or g?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 + 2*c**4\/3 - 14*c**3\/3 - 26*c**2\/3 - 4*c = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d*d**(-1\/4))\/(d**2*d)**(-7\/5) assuming d is positive.\nAnswer: d**(19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 7 + 3. Let t be 1 - (1 + -2 + y). Sort -2\/7, 2, t in descending order.\nAnswer: 2, t, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5725100 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*n**6 - 2*n**5 - 1100*n**3 + 2005814*n**2 wrt n.\nAnswer: 8760*n**3 - 120*n**2 - 6600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1620 + 3*f**3 + 1618 - f**2 + 18*f**2)*(21 - 36 - 7).\nAnswer: -66*f**3 - 374*f**2 + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 48*k**2 + 1. Let q be t(1). Suppose u - 3*m + 0*m + 25 = 0, -3*m - q = u. Let h = 18 - u. What is the greatest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2072*w**2 + 14504*w - 18. Give y(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3168, -3171, -3174, -3177, -3180, -3183?\nAnswer: -3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (91\/2002)\/(2\/33)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*g - 600, 0*g + 4*g = 4*n - 480. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(208)) + 0)**2 + ((sqrt(26)\/(sqrt(12)\/sqrt(6)))**2 - (sqrt(13)*1 + -3)**2).\nAnswer: 294*sqrt(13) + 7515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3*n**4 + 5 - n**2 + n + 0*n**4 to l + v*n**4 + g*n**2 + o*n + x*n**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/10)\/6*15. Let j = 116 + n. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4662*276.194\nAnswer: -1287616.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100011001110 (base 2) in base 8?\nAnswer: -14316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27843 + -13140. List the prime factors of y.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163100 (base 11) to base 14\nAnswer: 682c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - ((-152)\/(-20) - 3*(-1 - -4)). Put 41, w, 0, -2\/21 in increasing order.\nAnswer: -2\/21, 0, w, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3335321046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255 - 53?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.19 - 5.2. Let r = x - 1.99. Suppose 0 = 2*q + 5 + 1. Put r, q, -2\/13 in decreasing order.\nAnswer: -2\/13, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3477 + 71317. What are the prime factors of z?\nAnswer: 2, 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*b + 18, 3*i - 95*i + b + 90 - 8 = 3*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132141 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:37 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 6*q - 2*q - 3.\nAnswer: -6*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p. Suppose 64 = 4*w + 4*h, w + 3*h - 22 = -p*h. Calculate the remainder when 64 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62613 and 1189647?\nAnswer: 1189647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -5. Let i = -4 - r. Let m be (-6)\/4 + (-12)\/(-8). Solve 4 = i*l - m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240865*d**3 - 5*d**2 + 2*d + 648 wrt d.\nAnswer: 1445190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/7847 and -23\/280840?\nAnswer: 5335960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 + (-3 - 0 - -8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*p + 4*p + 7*p)*(-3 - p**2 + 3 + (7*p + 0 + 0)*(-3*p + 2*p + 0*p) + 2*p**2 + 2*p - 2*p) to o*p**3 + b + t*p**2 + z*p and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y. Let v be (1 - (-2 + 0)) + -1 + 2. Let j(i) = 4*i**2 - 6*i**2 - v*i + 4*i. What is j(x(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2*5 + sqrt(17) + sqrt(68) + 0 + (sqrt(17) - (-3*sqrt(153) + sqrt(17)) - (1 + sqrt(612))) + 3)**2.\nAnswer: 64*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -980*c + 1675*c + 921*c + 735*c to the form r + s*c and give s.\nAnswer: 2351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -577498, 0.1, -1, 2\/23, 0.5, -0.1?\nAnswer: -577498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 13009 = -12984, -5*c - 52 = 7*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5377985, 21511822, 48401559, 86047202, 134448757, 193606230, 263519627?\n\"Answer: k**3 + 5377944*k**2 - 2*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863*s + 0 - 876*s + 2 + 7 - 3.\nAnswer: -13*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10040 by 1.\nAnswer: -10040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.485*-0.08443\nAnswer: 0.20980855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 5*g**2 + 1 - 1 - 4*g - 4*g**3 in the form x + y*g**3 + r*g + c*g**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.085 and 29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 6 + -8 - -13 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, o: 2}. What is prob of sequence lool?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696680036?\nAnswer: 2, 13, 41, 326773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.464.\nAnswer: -0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 139765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -102. Let h = u - -52. Solve -2*r = -3*g - 11, 0*g - 3*g = 2*r - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0*s + 42*s**2 + 7\/60*s**5 - 53\/3*s**3 - 1\/24*s**4 + 0. Find the first derivative of m(w) wrt w.\nAnswer: 14*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -2301321?\nAnswer: -2301231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12910 and 573204?\nAnswer: 2866020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (10 + (0 - 6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3*w + 1. Let k be n(-5). Let j = k - -11. Suppose -j - 7 = -5*x - 4*c, 3*x - 5*c = 47. Calculate the highest common factor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - t**2 + t. Let s be x(-2). Suppose -s = -o + 2. Suppose 6 = -2*l + l - o*v, 3*l - v - 47 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(0 - (-3)\/6). Find the first derivative of 3*k**4 - q*k**4 + 2 - 4 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/15, 0.4, -5, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23303.\nAnswer: 7, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48979 + 3?\nAnswer: -48976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -12*s**2. Let v(b) = 73*b**2. Give v(k(f)).\nAnswer: 10512*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 396952302 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245738 (base 12) to base 2.\nAnswer: -10010000000111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 6*h**2 + 2*h**2)*(-6*h + h + 6*h)*(-23 - 18 - 15)*(-2*h + h + 2*h).\nAnswer: 392*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 4*a + 4 = 0. Let z be a*-1*272\/64. Let p be (-5)\/9*29\/((-725)\/(-10)). Put p, 0.2, 5, z in increasing order.\nAnswer: z, p, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1599312*i**2 - 98*i + 1106.\nAnswer: -3198624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1189*y**2 + 1031*y**2 - 842*y**2.\nAnswer: 1378*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 841980*a**3.\nAnswer: a**3*(a - 841980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 g when four letters picked without replacement from vvgvggggccggcvgc?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989604127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.79594 * 0.4.\nAnswer: -7.518376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2, 3 = -6*g + g + 4*h. Suppose b - g = 4. Suppose -4*n - n - 3*u = 58, 0 = -b*n + 4*u - 86. Is n > -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 7. Let x be ((-30)\/b)\/(2 - 1). Calculate the remainder when (2 - x)*(-1)\/(-1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727249 plus 0.00064?\nAnswer: -1727248.99936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j**3*n + 184*j**3 - 44*j**2*n wrt n.\nAnswer: 5*j**3 - 44*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17276756 (base 9) to base 6.\nAnswer: 505512253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-4)\/6)\/((-3)\/(-45)). Let y(n) = 3*n**2 + 11*n + 10. Let p be y(x). What is the hundreds digit of 3020\/p + (-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67454434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-164)\/(-8))\/(77\/(-2)) and -101\/110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11) + 4 + 4 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1062629*w - 1062636. Calculate u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2 - 224368*g - 3146312464 = 0.\nAnswer: -28046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43503 (base 7) in base 13?\nAnswer: -4c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {p: 6, h: 1, w: 5, x: 1, d: 3, s: 4}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 11) to base 13\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1. Let f = -2 + z. Which is the nearest to 2\/5? (a) 3\/5 (b) f (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**3 + 2*u**2 - 3*u - 8. Let t(h) = -20*h**3 - 3*h**2 + 5*h + 14. Determine 5*g(v) + 3*t(v).\nAnswer: -5*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 2*u**2 + 3*u + 0*u to the form j*u + p + x*u**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223035 + -87429789\/392. Calculate the common denominator of j and -27\/343.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 8*s**2 - 17*s - 39. Determine c(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-468)\/42 + 11 + 1\/7. Let v = 7 - 4. Solve t*m = v*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(11\/(-4) - -2). Let d(m) = -m**2 - 11*m + 1 + 7*m + 0*m. Let f be d(t). Solve -11 = -5*z - f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*t + 18, 5*t = -5*x + 2*x + 26. Suppose -c = -5*n + 10, -n + 28 = x*c + 3*c. Let s = 5 - c. Is s bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaafjaafafaffaffffa. Give prob of picking 1 j and 2 a.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.6, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -16*x + 18*x - 5*p, 3*x = 4*p - 677. Is x != -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Let j = w - -11. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 6*a)*(a**2 + 2*a**3 - a**2)*(5*a - 14*a - 5*a).\nAnswer: 168*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -208*l - 2080. Determine w(-9).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a - 6 + 6 - a - a - a + (1 - 3 - 1)*(3*a - 5*a + 4*a).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/390 and -34\/143?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -4\/209, 697, -1 in ascending order.\nAnswer: -1, -4\/209, 1\/2, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -263\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4441 and 15.3.\nAnswer: -67947.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1683414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5627 - -0.4373. Which is the nearest to -1\/5? (a) w (b) 0 (c) -0.002\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2756 - -2752. Let b(v) = v + 16. Let q(k) = 3*k + 48. What is o*q(s) + 11*b(s)?\nAnswer: -s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1249 - 1247. What is the closest to t in -0.2, 5, 15\/13, 3\/8?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*t - 5 - 15, -3*u + 41 = 4*t. Suppose 0 = -5*z + 3*n + n + 31, -3*z = 5*n + t. Differentiate q**3 + 2 + z - 4 with respect to q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*h + 20 = 6*k, 0 = 4*k + 3*h - 40. Let v(y) = -k - y - 8*y + 10. Let x(n) = n. Calculate x(v(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*p + 325, -8*k + 13*k = -4*p + 823. Calculate the remainder when k is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37032\/(-70) + (-2)\/5. Let n = -525 - h. Calculate the common denominator of n and 1 + -1 - 258\/60.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - -15. Suppose -4*i = 3*n - 14 - 2, 2*n - i = 7. Suppose 96 = 3*y + n*r, 0*y - 5*r - 97 = -4*y. Calculate the greatest common factor of q and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 11*t - 146. Calculate the lowest common multiple of 616 and t.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 252, 361, 470, 579, 688, 797?\n\"Answer: 109*p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 7*u + 2. Let d be w(8). Let y = d - 7. Suppose y*a - 152 = -a. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-104)\/(-14) + -4 + -3)*7. Suppose 5*m = 5*j - 240, -4*j - 90 = f*m + 40. Sort -5, 4, m.\nAnswer: m, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/2, -425, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 304*0.03556\nAnswer: 10.81024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1474794 divided by 737397.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20625 + 12152. Suppose -36*i = 2393 - q. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let l be x*(((-3)\/2)\/(-3))\/1. Solve l*h + 3*h - 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Solve -6*a**p + 4*a**3 + 4*a - 2*a**3 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 4. Let n be -2 - 1\/c*1. Let j = -4 - n. Let h(m) = -6*m**3 + m. Give h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -565*y**3 + 6250*y**2 - 385*y = 0?\nAnswer: 0, 7\/113, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*q**3 + 27*q**2 + q + 2350 wrt q?\nAnswer: -54*q**2 + 54*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 22 = 3*t + 13, -4*t - 20 = 4*v. What is the remainder when 41 is divided by (2\/t)\/((-20)\/(-30))*-33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 + 75943*w**2\/3 + 480624261*w + 480598947.\nAnswer: (w + 1)*(w + 37971)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13656 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + -27. Let a(o) = -116*o - 23. Let k be a(-2). Let h = k + i. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -464\/3 + 156. Let h(m) = -m**3 - 10*m**2 + 5*m + 1. Let i be h(-10). Let f = i - -195\/4. What is the smallest value in 0.4, -2\/19, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1675704 and 3477.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13065, 26136, 39207, 52278?\nAnswer: 65349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292 - -524. Let h = f + -231.999829. What is h rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3147, -3668, -4179, -4674, -5147, -5592?\n\"Answer: v**3 - v**2 - 525*v - 2622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 + 7 + -6 - 8 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003\/30 != 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3068*f - 3062*f = 4*x + 2, -6*x + 5*f = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389748 is divided by 448.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527014 (base 8) in base 12?\nAnswer: -191410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06009 + -0.03991. Let m be ((-3)\/2)\/(1*-4). What is the nearest to j in m, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25 - -1)\/(-16 - -18). Suppose -k*t + 41 = -24. Put 17, 4, t, -4 in decreasing order.\nAnswer: 17, t, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 + -25 - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4014*t - 40139. What is d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*j - 4, -3*j = j - 5*v - 6. Solve -j = d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2. Let r(g) = g**3 - 8*g**2 - g + 9. Let q be r(8). Let d be z(q). Solve -f + 16 = 4*w, 4 = -d*f - 2*w - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6 + 12. Suppose -u*w = -w - 2*j - 73, 4*j = 4*w - 56. Suppose g = -13*g + 182. Are w and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + (sqrt(8)\/(sqrt(8)\/sqrt(4)))\/((sqrt(32)\/sqrt(2))\/sqrt(8))))**2 + -2)*3 + -3.\nAnswer: -96*sqrt(2) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323220 (base 4) to base 14.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 363 - 258. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/100 + 7*r**4\/60 - 17*r**3\/30 + 9*r**2\/10 - 11*r - 17. Solve a(c) = 0 for c.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 9. Let w = -54 - -130. Calculate the highest common factor of w and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*p + 2)*(24028*p**2 - 36422 + 36422) in the form h*p**2 + c*p + a*p**3 + b and give a.\nAnswer: -48056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8513186?\nAnswer: 2, 11, 386963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 440*l**2. Let b(r) = 3*r**2 - r. Calculate b(n(m)).\nAnswer: 580800*m**4 - 440*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0554 and 23879532?\nAnswer: 23879531.9446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -34251 (c) -2.71 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2157961*i**3 + 2155023*i**2 + 2937*i + 1 = 0. Calculate i.\nAnswer: -1\/1469, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2045089 and 8.\nAnswer: 16360712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -385, -1561, -3521, -6265, -9793?\n\"Answer: -392*z**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*(-2 - (-10)\/3). Let y be -2 - (22*-11582 - 2). Let h be (y\/14 + s\/7)\/(-1). What is h rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*r**4 - 3*r**2 - 21 wrt r.\nAnswer: -696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:23 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88309 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 7. Let k be i(-6). Suppose 4*t = 6*t + 352. Let m = t - -177. Put k, -2, m in decreasing order.\nAnswer: k, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6366 and 776652.\nAnswer: 776652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and -0.0024164?\nAnswer: 10.9975836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:30 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 4*l**2 + 2*l + 4. Let f be d(0). List the prime factors of 4*(4 - (-498)\/f).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2719684*a**2*m**3 - 4*a**2 + 9962*a*m**2 + 15805*m**3 wrt a?\nAnswer: -5439368*m**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2467 = b + 4*d, 2*b + 68*d - 4895 = 73*d. What are the prime factors of b?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18*(4 - (-26)\/(-6)). Suppose v*b = 5*b + 2. Suppose 7*a - b*a = 270. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36424941 divided by -267.\nAnswer: 136423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170090834 to the nearest integer?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*i + 79152 + 79215 - 158367.\nAnswer: -232*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:46 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*d - 40148 = 6492 for d.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 16131710*n + 193580511\/4.\nAnswer: (n + 3)*(n + 64526837)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227.317 - 228.4. Let h = 0.083 + f. What is the nearest to 0 in -3\/7, h, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 517 = -4*w. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 55 = m. Suppose x - h + 2*h = -1, -x - m*h = 17. Suppose -5*b - 5*k + 1455 = 0, x*b - k - k - 863 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s**2 - 59*s**2 - 60*s**2 - 1 + (s - 2*s**2 - s)*(7 + 9 + 2) to the form l + w*s + m*s**2 and give m.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3038975710?\nAnswer: 2, 5, 19, 1723, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1485\/110)\/(-9)*(-88)\/(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1011100 (base 2) to base 10\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -4)*16\/12. Suppose -d*f + 3*u + 19 = 2*u, u - 1 = 0. Suppose -v = -f*v + 108. What is the highest common factor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6899?\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 18) + (3 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q + 3*h + 14 - 6 + 4, -21*q + 20*q - 1 = 2*h - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + (-74)\/(-112). Let n = 58\/27 + -251\/54. Sort -2\/5, n, c.\nAnswer: n, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4277)\/(-1410) - 13\/390. Solve -6\/5*q**2 - 2\/5*q**x - 6\/5*q - 2\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*k - 94*z + 98*z, 2*z + 15 = k. Let o(a) = -a**2 - 3*a - 3. Suppose -5*q - 20 = -q. Let g(y) = -y**2 - 5*y - 6. What is k*g(m) + q*o(m)?\nAnswer: 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000067 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1436456 or 1436457?\nAnswer: 1436456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10428376 + -18.389622.\nAnswer: -10428394.389622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 965, 1078, 1333, 1802, 2557, 3670, 5213, 7258?\nAnswer: 9877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -98170000 rounded to the nearest one million?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209576 is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) 6 (c) 22 (d) -2\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 5*y - 4*x + 12, 2*y = -4*x - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*t + p, 0 = t + 2*p + 4. Suppose 6*z - 4*z - 20 = 0. Solve 2*q = 2*g - 6 - 4, g + t*q = -z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n. Suppose 9 = -n*w + 3*w. Suppose -2*z - 3 + 13 = 0. Calculate the smallest common multiple of w and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-16)*-6*(-4)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 40*p + 24. Let x(j) = 4*j + 5. Let g(i) = i. Let v(n) = 4*g(n) + x(n). Determine -5*q(y) + 24*v(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2102000 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {s: 11, r: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 25. Let p be w(-6). Let a(y) = -6*y**2 - y. Determine a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*u + 2 = 92*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 52\/57 (b) -3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -8104014080?\nAnswer: -8104014080.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19739, 59610, 126063, 219098?\n\"Answer: 13291*x**2 - 2*x + 6450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*b*p*y**2 - 8*b*p*y + 63*b*p - 3*b*y**2 - 3*p*y**2 wrt y?\nAnswer: 54*b*p - 6*b - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115774691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-6)*((-297)\/(-18))\/(-11). Sort z, 2\/5, -0.2 in descending order.\nAnswer: 2\/5, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(4200) + (sqrt(4200) + (6*-4*sqrt(4200) - sqrt(4200)) + sqrt(4200) - sqrt(4200))))\/((2*sqrt(576))\/(-1*sqrt(24) - sqrt(24))).\nAnswer: -690*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o**2 - 8*o + 8*o + (3*o**2 + o**2 - 2*o**2)*(5 + 0 - 4).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f + 20*f + 12*f)*(-80 + 497 - 185) + (2 + 1 - 5)*(3*f - 2*f - 2*f) to the form i + s*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r - 6. Let t be s(2). Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m + 95. Give h(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 25. Let m be n(8). Which is bigger: m or 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-39)*6 - (136\/(-20) + -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/6)\/1)\/(-3*(-3)\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 26.17?\nAnswer: 7.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzx when three letters picked without replacement from lxzll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*i)*(3 - 3 - 1) - 8*i + 0*i + 4*i + (6 + 2 - 7)*(6*i - i + 3*i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 w when three letters picked without replacement from {q: 4, r: 1, g: 1, o: 3, w: 4}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1064463 < 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -17*m + 1. Let p(v) = -v**3 + 71*v**2 + 297*v + 228. Let b be p(75). Let y(k) = 16*k. What is b*y(q) + 2*r(q)?\nAnswer: 14*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/4 + 1611*r**4\/2 + 219846*r**3 + 12765744*r**2 - 88352640*r - 226022400 = 0. Calculate r.\nAnswer: -120, -2, 8, 1308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/3 (b) -0.5 (c) -2 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*q**3 + 19*l**2*q - 2447*l*q**4 - 52*q wrt q.\nAnswer: -6*l**2*q - 29364*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 - 7*y + 8*y - 4*y**3 as h*y**3 + t + l*y**2 + u*y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -3. Let z be (-64)\/60*216\/(-32) - 12\/(-15). Suppose -4*f = -10 + 2. Solve -f*v = z, -h + 0*h = 2*v + t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 - 7*u + 6*u**3 + 4*u**4 + u - 9*u**2 + 5*u**4 - 3*u**3.\nAnswer: 3*u*(u - 1)*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - 1. Let v(m) = -11*m**3 - 19*m**2 - 13*m - 6. Let z(y) = 6*h(y) - v(y). Let l(i) = 8*i**3 + 6*i**2 + 6*i. What is 13*l(r) - 6*z(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 - 111*l**2\/7 - 234*l\/7 + 904\/7.\nAnswer: (l - 113)*(l - 2)*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, 3, 2, -1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4465*t + 11 + 29 - 64 + 24)*(-2 - 1 + 2).\nAnswer: -4465*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u + 5*u - 12*u to the form c + b*u and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2\/x)\/x)\/x**(-4))\/(((x\/x**3)\/x*x)\/x**(-1))*(x*(x\/(x**2\/x))\/x)\/(((x*x*x**(3\/4))\/x*x)\/x)*(x\/(x**4*x))\/(x\/((x**(-2\/3)*x)\/x)) assuming x is positive.\nAnswer: x**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2366988.\nAnswer: 2, 3, 13, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 146*i - 118. What is o(-50)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2704 and 76.\nAnswer: 51376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17*g**4 + 11*g + 3. Let v(y) = -125 - 406*y + 13 - 101*y**4 - 529*y**4. Let f(i) = 112*h(i) + 3*v(i). What is the second derivative of f(r) wrt r?\nAnswer: 168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 12. Let m(o) = -o**3 + 17*o**2 - 15*o + 4. Let a be m(16). Solve -a = -z*x + x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46193252?\nAnswer: 2, 7, 1649759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 17. Let q be l(6). Suppose -3*k - 2*k - 45 = -q*p, 5*p + 3*k - 77 = 0. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 14, 667, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g**2 - 116*g - 1937. Let t be y(-14). What is the highest common divisor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 401582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-248))\/((-1)\/(-496)*4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20665 is divided by 2293?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 93, 128, 177, 240, 317, 408?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((9\/(-8))\/(-9))\/(4\/8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 8) in base 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -654\/2813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1.2027?\nAnswer: -3.7973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273214720 and 2560.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5\/3 - 159*w**4 + 1899*w**3 - 16679*w**2\/3 + 866*w + 2952 = 0.\nAnswer: -3\/5, 1, 4, 9, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -2 - (-5 - 114). Let c = 114 + -111. Let g be (-2 + 32)\/c + 3. What is the greatest common factor of g and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, c: 3, q: 1, i: 1, j: 5}. Give prob of picking 1 q, 1 j, and 1 u.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15281 bigger than 15283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 19. Calculate c(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 30. Let n be s(7). Suppose -i - 20 = -5*i, n*f + 2*i = 30. Sort 1, 0, 5, f.\nAnswer: 0, 1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -362, 532, 2142, 4468?\nAnswer: 7510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6*y + 8 = 0. Let r be y\/((-9)\/2 - -4). Solve r*d + 0*d = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 58 = -2*x. Solve o - 5*c + x = 0, 0 - 1 = -o - c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2. Let h = -31 - -32. Calculate z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 110925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**8\/1680 + p**7\/420 + p**6\/180 - p**5\/24 - p**4\/4 - 37*p**2. Let q(k) be the second derivative of w(k). Is q(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253\/3 or 85?\nAnswer: 253\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 8. Let f be t(3). Let k(i) = 5*i**2 + 9*i + 5. Let o be k(-2). Let h be ((-10)\/o)\/(4\/(-28)). Calculate the greatest common divisor of h and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*n - 32, 29*n + 12 = 27*n - 5*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 273868674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -11. Let v be 6\/(-15) + b\/15. Calculate the lowest common multiple of 10 and (1 - 1) + (-18)\/v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11339 - 5261. Suppose -3*s = b - 45441. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -397357 + 935604. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9.18. Let t = 0.02 - v. Put t, -1, -0.5 in descending order.\nAnswer: t, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22194, 44387, 66580, 88773, 110966, 133159?\nAnswer: 155352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 28020. What is the tens digit of 27\/(-45) - y\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8198721.6 to the nearest 100000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21203 - -21279. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, n: 8, a: 4}. What is prob of sequence nnba?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -8630?\nAnswer: 8631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 665*b - 661*b - 69, 15*b = 5*y + 240 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235773291.\nAnswer: 3, 13, 47, 293, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0 + 1 + 2*d**2 - 1 + 2 + d + d**3. Give n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351586413 divided by 39065157?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 336538, 673074, 1009610, 1346146?\n\"Answer: 336536*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97, 168, 221, 250, 249, 212, 133?\n\"Answer: -d**3 - 3*d**2 + 87*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 127.\nAnswer: 63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2025.0001073 - 2025. What is g rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 346, 636, 892, 1126, 1350, 1576, 1816, 2082?\n\"Answer: 2*p**3 - 29*p**2 + 363*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 584, 12, 4, -2 in ascending order.\nAnswer: -2, 4, 12, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*t - t - 55 - 67, -4*t - 158 = 2*i for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 16*p + 42. Let g(j) = 11*j**2 + 33*j + 85. Let v(t) = -4*g(t) + 9*h(t). Let r be v(-4). Solve 4*s - o + r = 1, o = -s + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1504*q**2 - 210. Let w(a) = -8*a**2. What is c(w(m))?\nAnswer: 96256*m**4 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 36 = -8*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10417*i - 60 = 4*h - 10426*i, 2*i = -0*h - 3*h + 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 68 = -2*b, 7346*w - 7342*w = -3*b - 66 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*k - 14 = 0, 10*k = -5*a + 6*k + 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/35 - (-36)\/10. Let y be (m - 2)\/2 - 2. What is the remainder when 7 is divided by 0 + -3*(y + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -1) + (-71 - -76). Suppose 4*x + 4*h + 8 = 0, -2*x + 3*h - 9 = -0*h. What is the closest to 2 in 0.1, 4, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkkkkehu. Give prob of sequence ek.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.3? (a) 4 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129\/5 + 893\/35. Sort -8, 4\/7, -1.6, f in ascending order.\nAnswer: -8, -1.6, f, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30410 + 33155.1. What is u rounded to the nearest 10?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181443506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z + 1838 + 201 = 159 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -690*m**3*v - m**3 - 212 wrt v.\nAnswer: -690*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 2*x + 5. Let m be p(0). Let j(y) = -6*y - 5 + m. Let c(w) = 4*w. Calculate j(c(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7268937 to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43590 is divided by 490?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**2 + 40*d - 4. What is r(-7)?\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90034241*t + 90034238*t - 180068492*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9945.293 days in microseconds?\nAnswer: 859273315200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 at most as big as 131124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -1\/3, 1\/3, 396, 12\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2611bb - -175?\nAnswer: 261374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5047 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 651. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 29*b + 72 = 0. Let i = 36 + b. Solve 0 = 3*j - 2*j - t + 9, -j - 4*t + 16 = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*f - 5*m, 5*f + 0*f - 7 = -3*m. Is -2\/87 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**6 + 3469*f**5 - 204*f**2 - 132*f.\nAnswer: -480*f**3 + 208140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/23 + 2044*a**4\/23 + 399762*a**3\/23 + 3461816*a**2\/23 + 5292376*a\/23 - 9156000\/23 = 0. Calculate a.\nAnswer: -763, -250, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6*p + 8. Suppose 0*s = p*o - s - 17, 0 = -3*o + s + 13. Suppose -2*r + o*r = 0. Solve r*d = 4*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 12) to base 13.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -91*j**2 - 709*j + 158. Determine b(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1300))**2 - sqrt(1300))*-4 + 3.\nAnswer: -5201 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3237, 13010, 29315, 52152, 81521, 117422?\n\"Answer: 3266*x**2 - 25*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let i(w) = w - 70*w + 2 + 99*w - 14*w. Calculate i(s(c)).\nAnswer: -32*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, -3, 0.\nAnswer: -3, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964 (base 10) in base 13?\nAnswer: b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/5*(945\/14)\/3. Solve -21*d + 12*d + j = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 t, and 1 b when four letters picked without replacement from {b: 1, t: 7, u: 4, w: 6}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/1080*736)\/((-2)\/3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3777 = 14*v - 14375. Let u = -755 + v. Solve 0 = 2*r - 5*w, u*w - w = 5*r - 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - (3 - -10)) + (-72640)\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*x - 1 = -156*x - 3*t, -2*x + 29 = 3*t for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20231933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3923878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 409.\nAnswer: -81.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.87552 to 1 dp.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -128*h - 478. Let j(v) = -65*v - 239. Let b(y) = -7*j(y) + 4*w(y). Differentiate b(d) wrt d.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-60)\/(-2))*600\/72?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41\/40 - -3\/20. Let s = -11\/40 - r. Factor 0*u + 6\/5*u**2 + s*u**3 + 0.\nAnswer: 3*u**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1137, -1171, -1205, -1239, -1273, -1307?\nAnswer: -1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -20534?\nAnswer: 20532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65468, -65475, -65482, -65489?\nAnswer: -65496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*((-12)\/(-15))\/(31\/3565)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 25*a**2 - 28*a + 144. What is the tens digit of m(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddnnnzccdkx. What is prob of sequence nd?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/176*(3 + 5). Sort -24, -6\/5, 1, t in decreasing order.\nAnswer: 1, -6\/5, t, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/300 + b**4\/12 + 5*b**3\/6 + 4*b**2 + 8*b. Let i(z) be the first derivative of y(z). Suppose i(x) = 0. What is x?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -10 + 0 + -3 + -14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01735 + -0.017350869. What is q rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b - 17. Let i be j(-5). Suppose -70 = -4*h - x, -h + i*h = -3*x + 30. Let y be ((-24)\/h)\/(50\/(-9)). Is y < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*v - v = -69, -5*v + 269 = 4*f. Suppose 3*k - 114 = -2*u - 27, u - 3*k - f = 0. Suppose -4*a + a = -u. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.425 + -5.12. Round r to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1763, 3261, 4727, 6161, 7563, 8933, 10271?\nAnswer: 11577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 8*x - 16. Let u be h(-6). Let o(p) = -p**3 - 3*p**2 + 4*p + 6. What is o(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c**3 - 56*c**2 + 34*c - 60. Let a be y(-10). Solve -12*u + a*u - 8 = 4*x, -x = 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68242662661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 6*a**2 + a - 5. Let m = 16 - 10. Let k be q(m). Let p be -7 - 6\/(-3*k). Put 4, p, 2 in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/15, -11, 3, -336?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16 and 31\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 + 6\/((-12)\/(-34606582)). Suppose 132296708 = -8*o - y. What is o rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -619*h**2\/2 - 4142. Let w(x) = -2*x**2. Give w(i(d)).\nAnswer: -766322*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3244, -6609, -12180, -19957, -29940, -42129?\n\"Answer: -1103*r**2 - 56*r - 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 30 = -24*m. Suppose m*a + 150 = 30*a. Solve 0 = 4*n + a + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003482 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(363) + sqrt(363) + 3 + ((sqrt(21)\/sqrt(7) - sqrt(3))*1 - sqrt(3)) + 0)**2 + -3.\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 718.3 and 66.\nAnswer: 784.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) 4 (c) 1\/5 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fee when three letters picked without replacement from {f: 2, d: 2, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + q = 5*k - 95, 0 = -k + 5*q + 43. Let u be (3\/k - 0)*-2. What is the second smallest value in 3\/2, 1, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 1. Let p(n) = 3*n**2 + 2*n - 5. Determine 5*f(t) - p(t).\nAnswer: -3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x*x)\/x**(1\/11))**(-2\/71)\/((x*(x*x*x\/((x\/(x*x**(3\/8)))\/x))\/x)\/x**(-7))**(-1\/18) assuming x is positive.\nAnswer: x**(58687\/112464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*t - 6 = -3*t, -3*q + 5*t + 6 = 0. Solve -3*u - 4 = -2*r, -3*u - r + q*r - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 464 - 404. Let d = 60 - j. Let z = 2\/175 - 8\/75. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -44*u**3 + 3*u**2 + 9*u + 6. Let x be y(-3). Let t = 3875 - x. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (7 - 4) + -12. Let u(i) = -i**3 - 7*i**2 - 12*i - 8. Let f be u(s). Solve -2*b + 7*r = f*r - 9, 0 = 5*r + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/60 + k**4\/8 - k**3\/6 + k**2 - k. Let q(g) be the first derivative of h(g). Let f = -1 + -1. Calculate q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 3*l - 194, 4*b - 366 = -5*l. Let a be (-1704)\/(-30) + 2\/10. Let o = b - a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 83, 334, 835, 1670, 2923?\n\"Answer: 14*w**3 - w**2 - 10*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4130 and 139\/2478.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -18. Let n = 4 - 8. Let b be v\/20*n\/1. Solve h - 2*h = c - 3, -3*h + b = 2*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4153 + -779. List the prime factors of n.\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5518*h**2*r*z**2 + 430*h**2*z**2 + 2*h**2 - 5*h*r*z**2 + 6*h*z**2 wrt r?\nAnswer: 5518*h**2*z**2 - 5*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 21525*d + 257868.\nAnswer: 3*(d - 7163)*(d - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -4 - (62 + -61) - 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (129 + 152 - 508)*(-4*f - f + 2*f) to the form y*f + r and give y.\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8579 * -243.2.\nAnswer: -2086412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/21)\/((-270)\/126)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgbbzzobzzzgbg. Give prob of sequence gw.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7090143.022159 - -7090146. Let m = -2.84995 + c. Let h = m - 0.128. Round h to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891*w - 4064 - 10775 = 458*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f - 34*f + 103*f - 35*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158.84 + 1.16. Let o = -159.9999833 + a. Round o to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - 158. Sort 0, l, 2.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17470834, 17470843, 17470852, 17470861?\n\"Answer: 9*x + 17470825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2483 + 1?\nAnswer: -2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Let d(l) = -l**3 + 4. Let h = 0 - 4. Let a(u) = 5 + 28 + 193*u**2 - 195*u**2. Let n be a(-4). What is h*z(c) + n*d(c)?\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1615 take away -5?\nAnswer: 4.8385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(0 + 3 - 5)*(0*v**3 + 2*v**3 + 0*v**3).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1 - q - q**3 + 2*q - 5. Let t be o(0). Let b be (-11 + 9)\/(2\/t). Solve 11 = 5*f - b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -985, -647, -311, 23, 355, 685, 1013?\n\"Answer: -d**2 + 341*d - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from rvy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 18*l**2 + 11*l - 65. Calculate the remainder when 134 is divided by p(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 17. Let m be p(-8). Suppose -m = -2*n - 5, -n + 38 = -4*r. Let d(o) = -4*o - 3*o + o. Let z(y) = 2*y. What is r*z(l) - 3*d(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 - 226*c\/11.\nAnswer: -2*c*(c + 113)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 3*n**3 + 0*n**3)*(1 - 1 + 2*n) - 16432 + 16432 - 20*n**4.\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 3, i: 2, c: 1}. What is prob of sequence ni?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + (-12 - -11) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 82*v**2 + 1530*v + 111. Give j(-55).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001774 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728.045048 rounded to 1 decimal place?\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 376791. Let x(q) = -23*q**2. What is z(x(l))?\nAnswer: 1058*l**4 - 376791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 24*c - 265. What is p(6)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539569 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w - 420. Let d be k(-47). Suppose -11*z = -d*t - 8*z + 12, -3*t = 2*z - 2. Solve 0 = 4*x - t*b + 12, x + 3*b - 10 - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/9, -4, 13, -1, -632?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3664.396 + 3642. Let m = 0.296 + h. Round m to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13260938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16133, -18398, -22171, -27452, -34241, -42538?\n\"Answer: -754*k**2 - 3*k - 15376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 941563919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 528*o + 18432 = 0. What is o?\nAnswer: 48, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, 35, 89?\n\"Answer: 54*g - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4250, -6612, -10550, -16064, -23154?\nAnswer: -31820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 60 = -15*z. Let v = 16 - z. Let p = -8 + 3. Sort p, v, -3 in decreasing order.\nAnswer: v, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500649776 a multiple of 5246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c2325 + 12?\nAnswer: -2c2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 454*x**2 + 1378*x + 27. Calculate z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 279205926?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/257, 1, 4 in decreasing order.\nAnswer: 4, 1, 1\/257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u + 20516 = 72*u - 54949. What is the remainder when u is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031*o + 645*o = 38548 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4866, 6010, 7154, 8298, 9442, 10586?\nAnswer: 11730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/12191035 or 1?\nAnswer: -9\/12191035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5954473 times 30\nAnswer: -178634190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -5, 4.\nAnswer: -5, -3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 12 + 61)*(64*l + l + 38*l - 273 + 273).\nAnswer: 6798*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/9 - -2) + (-36 - -36). Suppose 7\/3*h**2 + s*h + 4\/3 - 3*h**3 = 0. What is h?\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 178 = -86. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 3 - f**2 - 2*f**2 + 4*f**2 - 4. Calculate the lowest common multiple of q(-5) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.31, 1\/72, 0.5?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*x - 3, 0 = 5*h - 0*h - 3*x + 15. Let a = 4 - -13. Suppose -z + 5*p - 20 = 0, 5*p - 42 + a = 0. Sort z, -5, h.\nAnswer: -5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 3*c - 2*c - 2*c - 1 - c**3. Let x(h) = -h**2 - 1. Let r(z) = 4*z**2 + 8*z + 9. Let i(m) = r(m) + 2*x(m). Let f be i(-3). What is o(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513 (base 16) to base 10\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/5, 37, 205, -2\/9?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1952 - 127. Round n to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1170 and -31\/873540.\nAnswer: 11356020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 5:03 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**5 - 6*u**5 - 100*u - 1923*u**4 + 1917*u**4 wrt u?\nAnswer: -60*u**3 - 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = d + 16, -4*f - 2*d + 20 = -8. Let g = 1372 + -1375. Sort 4, g, f, -14 in descending order.\nAnswer: f, 4, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(-35) - (-6)\/21. Let i = 1615 - 40368\/25. Let a = i + -3\/100. Which is greater: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/432 and 71\/156.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9398.987ug?\nAnswer: 9.398987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(175))\/(-5*sqrt(28)))\/(sqrt(20)*2 - sqrt(125)*-6).\nAnswer: 3*sqrt(5)\/340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*240\/825.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1008380 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -225, -1\/5, -0.4, -4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 251. Let n be 15\/4 + 1\/4. Suppose 13 + 19 = n*i. Calculate the highest common factor of i and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 7, 1, -5 in decreasing order.\nAnswer: 7, 1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2. Let a(n) = -97*n + 2*n + 3*n + 8*n + 7*n. Give v(a(p)).\nAnswer: 23716*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1363961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 - (-7 + -4 + 10). Let d(t) = -t**3 - t**2 + t + 2. Let s be d(-2). Suppose -3*b + 22 = s. Solve 0 = -a*z - 4*l - b, -3*z - 7 + 1 = -5*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 + 22*n - 22. Let r be q(4). Put r, -2, -18, 2\/5 in decreasing order.\nAnswer: r, 2\/5, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(2*f - 7*f + 1 - 3).\nAnswer: 10*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 86, 118, 134, 128?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -2*g, 3*c = 2*g + 5 - 2. Let w = 0 + g. Let h be 31\/35 - (-2)\/(-7). Is w at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d - 988. Determine a(-30).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396788808, -793577617, -1190366426, -1587155235, -1983944044?\nAnswer: -2380732853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*(-2*sqrt(77) + sqrt(77)))\/(-2*sqrt(11)*5) + -1)*-3.\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10888, 86812, 292886, 694186, 1355788, 2342768, 3720202?\nAnswer: 5553166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(243) - sqrt(243)*-2 - sqrt(243))*5)\/(-4*(sqrt(225) - (sqrt(225) - -1*sqrt(225)))) + 0.\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67 and 8?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 2\/3*v**3 + 0 - 8*v**2 + 0*v - 1\/12*v**4. Suppose 0 = -4*q + 12 - 0. Calculate p(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2966080, 2966075, 2966066, 2966053, 2966036, 2966015, 2965990?\n\"Answer: -2*o**2 + o + 2966081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = -2*s + 2*p, -4*s - 3*p - 13 = 0. Let q = 10 + s. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by 134.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46175565901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5717 (base 9) in base 12?\nAnswer: -2544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**3\/3 - 6*x**2 + 4*x. Let t be g(9). List the prime factors of 14*(15\/t + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -82 (b) 0.03 (c) -3 (d) -4\/9 (e) 10 (f) -2 (g) -2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221 (base 5) in base 15?\nAnswer: 1e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:11 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:00 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.12 (c) 9 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 14*x**2 + 16*x + 10. Let q(n) = n**3 + 5*n**2 - 2*n + 8. Let c be q(-6). Let z = 31 + c. Calculate the remainder when 49 is divided by a(z).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581729.\nAnswer: 41, 62969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(77)*2)\/(sqrt(21)\/sqrt(3)*6).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m**2 - 6*m + 5. Let j(g) = g**2 + g - 1. Let l = -140 - -135. Determine l*j(o) - d(o).\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 0 - 6*q**2 - 5\/24*q**4 + 1\/20*q**6 + 0*q**3 + 0*q**5. Find the second derivative of d(t) wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.4 (b) -0.2 (c) 4.7 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.127 times 273?\nAnswer: 255289.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -11*w - 15. Let p be w\/(-3)*30\/(-85). What is the closest to p in 1\/7, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Let t(i) = -i**3 + i**2 - i + 1. What is t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -1 (c) 1800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 322006610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 - 185. Let b = 696 + -1631. Let d = b + 5641\/6. Calculate the common denominator of d and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 2. Let c(y) = y**2 - 3. Suppose -15 = 3*r + 2*r, 645 = 2*a - r. Let z = a - 315. Determine z*w(v) - 4*c(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346077 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42b (base 15) to base 10\nAnswer: -941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14 + 0\/7)\/(752\/658).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010001110110001000 (base 2) in base 4?\nAnswer: -23101312020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 13, -10, -53, -122, -223, -362?\n\"Answer: -l**3 - l**2 + l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/5 + 8\/2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 317048.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2936 - -4741. Calculate the remainder when f is divided by 576.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 1)*(-4)\/10. Suppose -l*r + 6 = -4*z, 4 = -z + 3*r - 0. Is z equal to -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -2)*-4*4\/(-48). Sort 27, f, -2, -4.\nAnswer: -4, -2, f, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 214, 288, 346, 382, 390, 364?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 8411033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f. Let m be o(1). Suppose m = p - 2*t - 2, p = -3*t - 11. What is the lowest common multiple of ((-4)\/3)\/((-4)\/30) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 3 - (1440\/35)\/16*(-14)\/(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -168, -164?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose 0*k = a*k - 9, k = -4*b - 1917. Round b to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-22))\/((-207)\/92)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 13\/10 (c) 999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -20*s - 36. Determine w(-12).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (415 - 7\/(-7))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**5 - 30*y**4 + 14*y**3 + 6*y**2 - 6. Let a(g) = -3*g**5 + 31*g**4 - 15*g**3 - 7*g**2 + 7. Let c(q) = 6*a(q) + 7*r(q). Solve c(d) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 93. Solve 12 = -c*a - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865565 a multiple of 523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 + (2 + (-45)\/9 - 2). Let v be (-179 - -1)*3*1\/(-36). Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104543 (base 7) in base 3?\nAnswer: -221022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 2262479?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3046621 and -3046623 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -8. Suppose 5*g - 72 = 3*j, 2*g + 2*j = 10 + 6. Is 9\/g + (-178)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011215291927 to six decimal places.\nAnswer: 0.011215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*s - 8631 = 264*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 360. List the prime factors of 4 + a\/(-6 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-105))\/(-19 - -125*702\/4617)?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -308, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1712\/22 + (-6)\/(-33). Let y = -53 + v. Solve y = -5*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 680\/119*((-186)\/(-31))\/(-24)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 15*n + 14 = 0. Suppose -2*x + 2*w = 4*w - 10, -5*x = -4*w - n. Determine r, given that -3*r + x*r + 5*r**2 - 8*r**2 - 3*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i*i**3*i**(-1\/4)*i**(-5)\/i)\/(((i\/(i*i\/((i*i**(-3\/8))\/i*i)*i))\/i*((i\/(i\/(i**(-1)\/i))*i)\/i)\/i)\/(((i\/(i**8*i))\/i)\/i**4)) assuming i is positive.\nAnswer: i**(-79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b = -36*b - 5. Let k(n) = 12*n**3 + b - 64*n**3 + 14*n**3 + 11*n**3 + 19*n**3. Give k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(15\/3))\/1. Let d(v) = 6*v + 38. Let k be d(-6). Suppose -5*i + r + 4 = 0, k*x + i = 25. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*k - 59*k - 13057 + 5902 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9))\/((-21)\/(-9)). Let m = -1023 + 1023.55. What is the smallest value in -5, m, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2223*q**3 + 2227*q**3 - q**2 - 18*q + 3*q**2 + 57*q in the form s + p*q**2 + j*q + i*q**3 and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13*u**3 + 11*u**2 + 11*u - 11. Let f(v) = 7*v**3 - 6*v**2 - 6*v + 6. Determine 11*f(h) + 6*x(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:11 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/4 + (-39)\/15 + 1044\/(-60)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3290?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (7 - (-5 + 6)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3840 = -155*h - 3840. Solve -i - 21 = -2*i + 4*b, h = 2*i - 5*b - 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:11 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2667585 or -2667594?\nAnswer: -2667585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (152\/16 - 3)\/((-1)\/2). Let p = 12 + r. Let c be p*(-44)\/16*8. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-25)\/450*2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12885e + 3c1?\nAnswer: 128c1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187882984?\nAnswer: 2, 23485373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27865\/4 + 6966. What is the fifth biggest value in 5, -19\/11, -3\/7, -1\/10, i?\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.1, 5, -86, 2\/19, -1 in descending order.\nAnswer: 5, 2\/19, 0, -1, -1.1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -35. Which is bigger: s or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 18 + 47 - 12*j - 24. What is the least common multiple of b(11) and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 5:04 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttrttttttrttrttt. Give prob of picking 2 t.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475497.\nAnswer: 3, 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226806784 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731*v + 731*v - 1460*v + 95*v**3.\nAnswer: 95*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 393\/7. What is the second biggest value in 0.07, s, -0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51a7 + 3?\nAnswer: -51a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171565?\nAnswer: 5, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.8905 nanograms in grams?\nAnswer: 0.0000003918905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 7.0945?\nAnswer: -7.1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7, 3, -0.2, -247, 388, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 1334?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441430005.\nAnswer: 3, 5, 13, 19, 47, 19763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1840 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 9*f**2 - 6*f**3 - 15868*f + 15868*f - 2 in the form w*f**3 + u*f**2 + a + g*f and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -9*t + 4*t + 3, 0 = 3*t - 5*z + 11. Suppose -t*u + 55 + 62 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3444.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1422040240?\nAnswer: -1422040244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -52. Does 11 divide (-3564)\/27*i\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwhh when four letters picked without replacement from hwrlllhrwlrhrrhrhr.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 20.3?\nAnswer: 0.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -726, -1440, -2154, -2868, -3582, -4296?\nAnswer: -5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.68196 * 3.5\nAnswer: -26.88686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-27) + (-2935)\/36. Let l = -83 - s. Is l != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109209299 and 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14505 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 1, j: 4, t: 2, z: 4}. Give prob of sequence tl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 2*p - 703. Let h(m) = m**2 + m + 1. Let l(z) = 3*h(z) - t(z). List the prime factors of l(0).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + s**3 - 3*s**3)*(9 - 8 + 4) + s**2 - s**3 - s**2.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/12*12\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -6*o + 2259. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1356617 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 6. Let a be i(-4). Let k = 15 - a. Let j = k + -15. What is the remainder when 3 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = -0*d - 9*d. Suppose d = -t + 115. Suppose -3*p - 3*b = -0*b - 465, -2*b + 10 = 0. Calculate the greatest common divisor of t and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10198 * -5.\nAnswer: -50990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 73*b + 3103. Calculate n(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 6*l + 7. Let f be n(5). Let r be 141\/f + (-6)\/27. Calculate the greatest common factor of r and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543938033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:40 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9396 and 18876.\nAnswer: 14779908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20480 and 2741632?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 1}. What is prob of sequence aq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*k - 116*k - 159*k)*(-3*k**3 + 2 - 2).\nAnswer: 1218*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 4*((-2*(2 + sqrt(192) - sqrt(192)) - sqrt(192)) + sqrt(192))*2*5)**2*4.\nAnswer: -409600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 5*b - 10 + 15, 34*p - 2*b = 35*p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739.901396 rounded to the nearest ten?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3210 = 19*r - 13*r. Let g = r - -5318. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 3*v**2 - 5 - 18135*v + 18138*v + 54*v**3 in the form n*v**2 + l + p*v**3 + c*v and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 529541.1s in milliseconds?\nAnswer: 529541100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(468) + 0)**2 - sqrt(468)) - sqrt(468)) + sqrt(156)\/(sqrt(768) - sqrt(768)*2).\nAnswer: -2808 + 239*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/238 + (-5)\/(340\/(-211544))?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10396.6 - 10397. Let d = -0.1 + 0.1. What is the second biggest value in d, p, 0.3, -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -662.\nAnswer: -132.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16 and (-84)\/(-26)*((-1239)\/84 - -16)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7825015?\nAnswer: 5, 11, 17, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 1)*(-2*q - 2*q + 6*q)*(-4 + 9 + 2).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93213 is divided by 233?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3135)\/198 - -32*11\/22\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*b. Suppose 8 = 4*s - b. Let r(z) = -2*z + 6. Let v(q) = 1. Let j(f) = s*v(f) - r(f). What is the derivative of j(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -537 - -539. Is -264 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167869 or 5539672\/33?\nAnswer: 5539672\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -77\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**4\/24 - 11*u**3\/6 - 66*u**2. Let x be f(15). Calculate the greatest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -760 or -938?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 265 - 313 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4075 + 4075. Factor 1\/4*r**3 - r + 0 + q*r**2.\nAnswer: r*(r - 2)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 9*j. Suppose -5 = -2*c + k, 2*c + j + 1 = 3*k. Suppose -c*q - 5*r = -38, 3*q + 2*r + 0*r - 25 = 0. Solve -1 = 4*t + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8770 and 393773?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 7*t. Let r be 2\/(-10) + (-121)\/(-55). Solve -r*f + 0*f + 2 = t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/22 and -143\/77784?\nAnswer: 855624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 80.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.671 - -1.371. Let f(x) = x**3 + 2*x**2 + 2. Let d be f(-2). Suppose d = i, -2*i - 2 + 0 = -3*m. What is the second smallest value in m, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-25 - (-25 - -26))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*x**3 + 20*x**3 - 17*x**3 + (-x + x + 5*x)*(-x**2 + 2 - 2) + (2 + 4 - 2)*(-2*x**3 + 0*x**3 - 2*x**3).\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*o - 15*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.86 - 0.87. Let x = -20 - -20.2. What is the third smallest value in 0.5, 3, p, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.951, 17, 18, -2\/3 in increasing order.\nAnswer: -2\/3, 0.951, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3708 = -5848. Which is smaller: 1071 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z - 0*z. Let d be z\/4*22\/1. Let u be -10 + (-42 - -23) + 5 + 26. Solve d - u = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 564*p + 5659. Let m be n(-10). Suppose -1 + 7 = 3*y. Put 0, m, y in ascending order.\nAnswer: 0, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2716.9 - 0.019482.\nAnswer: 2716.880518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227127*h**3 - 4*h**2 - 2*h - 638 wrt h?\nAnswer: -1362762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 28 = 3*p, -z + 2*p + 2 = -5. Let k(n) = 2*n**2 - 4*n + 1. Let r(a) = 4*a**2 - 8*a + 3. Give z*k(t) - 2*r(t).\nAnswer: 2*t**2 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26721496 is divided by 125.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 f, and 1 u when four letters picked without replacement from fufufffhfufffuhufu?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 944 and 23524834.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 756.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -137. Factor -245*r + 43*r**3 - 5*r**4 + 22*r**3 + 15*r**a - 190*r**2.\nAnswer: -5*r*(r - 7)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3 (c) -2\/34823 (d) -0.2 (e) -4\/3 (f) -2\/289 (g) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) -3\/7 (c) 2\/3 (d) -339 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhz when three letters picked without replacement from {s: 1, z: 2, u: 1, w: 1, h: 1, g: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-3 - -17) + -14\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32405 is divided by 147?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 459*j**3 - 2*j**2 - 17*j + 16. Let x be o(7). Suppose 15*z - x = 3*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 511 = -s - 267, -4*o + 635 = -5*s. Calculate the remainder when 524 is divided by o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.26.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 1, k: 1, q: 2, h: 1, e: 1}. Give prob of sequence uqqe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1641217 * 5\nAnswer: 8206085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 13894?\nAnswer: -13899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44610 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2301 - -2304. Suppose 3*o - v = 7, -1 = o + 2*v - 15. Put 17, o, q in descending order.\nAnswer: 17, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Let r(p) = 4*p - 27. Calculate r(s) - 5*z(s).\nAnswer: -s - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 5*v + 90*v**2 - 4*v - 3*v.\nAnswer: 90*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*p + 275*p - 41*p**2 - 27*p**2.\nAnswer: -68*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1672 <= 7167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) 3\/4 (d) -2\/29 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -663, -1470, -2597?\nAnswer: -4044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21751)\/3*-3*35\/540240. Let i = y + -30\/2251. Let k = -87061\/6828 - -1\/1707. What is the common denominator of k and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5546 - 5546. Let y(n) be the second derivative of f*n**4 + 11*n**2 + 0*n**5 - 18*n + 0 + 0*n**3 - 5\/6*n**6. Differentiate y(s) wrt s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 2*h - 7, 2*h - 4*a + 2 = 0. Let j(z) = -7*z**2 - 4*z + h*z**2 + 4*z. Let i(r) = -3*r**2. Give i(j(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033904 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 475 divided by -63\nAnswer: -475\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:00 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13392665*o**2 + 2011103*o + 1.\nAnswer: -26785330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:52 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1331231 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*(-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*q - 4, 0*u = -4*u - 2*q + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4489*x - 2*x**2 - 4489*x + x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 4. Let m be l(3). Let d be (-2)\/m + 19\/4. Solve 5*n - d = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**7\/35 - l**6\/15 + 2*l**5\/15 + 7*l**2\/2 + 5. Let j(k) be the second derivative of u(k). Find a such that j(a) = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llsh when four letters picked without replacement from iiiliihshiiiilii.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10\/19 - -68\/57. Let f = -537\/5 - -107. What is the closest to -1\/8 in p, f, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10500*x - 892501. Calculate r(85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18*7\/21*-9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 = 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 295, 442?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 6, i: 1, a: 3, w: 2}. Give prob of picking 1 i, 1 a, and 2 u.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 + 0)*(-5 + 2 + 2)*(-38 - 39 - 8).\nAnswer: -85*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**3\/3 - t**2 + 12*t. Let d be k(-4). Suppose d*u - u = 290. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6694 (base 10) to base 12\nAnswer: -3a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-1\/47)*(((i\/(i\/(i*i*i**2)*i))\/i)\/i)**(-6\/31)*(i*i*i*i\/(i**(2\/5)\/i*i))**(-42)*(i*i\/i**(-1))\/i**(1\/7) assuming i is positive.\nAnswer: i**(-7573529\/50995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32704\/1488 + -22)\/(4 - 65\/15).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 31. What is the units digit of l\/30 + 2828\/60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 55 = 13*k, 8*r - 3*k = -6*k - 65 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 1 + 3*g**2 + 1\/3*g**3 + 7*g. Give j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*k = 140, 5*k = 4*r + 51266 - 51383 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*s - 6, -3*r - 6*s = -9*s - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*w - 5*z, -23*w = -21*w + 3*z - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1158, -2697, -5254, -8829?\n\"Answer: -509*u**2 - 12*u - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-44)*-1*4\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245946 and 149286?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 4*f**3 - 4 - 3*f + 0*f**3 - f**2. Let y(t) be the second derivative of 0*t**3 + 1\/20*t**5 + 1\/2*t**2 - 2*t + 0 + 1\/12*t**4. Give 3*y(l) + z(l).\nAnswer: -l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34908?\nAnswer: 2, 3, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 63 = -26*u. Let r be u*9\/((-27)\/(-28)). Are r and 29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5797519922 to the power of 1\/4, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/22 + -12\/11. Let s be (35\/(-6))\/5 + (-19)\/(-38). Suppose -407 - 283 = -90*f + 320*f. What is the fourth smallest value in 2, h, f, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 224*j + 88603. Give l(430).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -144 + 4*v**3 + v**3 - 2*v + v**2 + 10 - 3*v**3 - 82 in the form q*v**2 + p*v**3 + c + o*v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(-5*(sqrt(17) + 0)*-3 + 4)**2.\nAnswer: 1200*sqrt(17) + 38410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/120 + h**5\/5 - h**4\/24 + 11*h**3\/3 - 475*h**2. Calculate p(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-5)\/3) + (-2)\/(-2). Solve -4*x + n + 3 = 2, 2*x - v*n = 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 40 = -u + 38, -u - t + 4 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -82*q - 396. Determine u(0).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 0.1, -418, 3\/10, 2\/3?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 64\/28)*4\/10. Sort -7\/3, i, -0.1, 0.3 in descending order.\nAnswer: 0.3, -0.1, i, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**3*j - 3*i**3*z + 131*i**3 - 2410*i**2 + 28*i*j*z + 3*i - 8585*j*z + 2*z wrt j?\nAnswer: -3*i**3 + 28*i*z - 8585*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.05, 8, 210 in increasing order.\nAnswer: 0.05, 4\/3, 8, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**2 - 1669*s + 891. Give a(185).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2 + 2 + (3*g - 2*g - 3*g)*(-1 + 6 - 3) + 2*g + 0*g + 0*g + 0*g - 3*g + 2*g - 53*g - 55*g + 103*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qex when three letters picked without replacement from xeeeqqqqeee?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z**2 + 23*z - 20. Let l(b) = 23*b**2 - 68*b + 60. Let w(i) = 3*l(i) + 8*m(i). Factor w(d).\nAnswer: 5*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -48*o - 238. Calculate the least common multiple of y(-5) and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001011249 to five dps.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87561163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409 + -452?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5384113 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*z + (10 - 10 - 16*z)*(3 - 3 - 1) - 1 + 1 + z)*(-1 - 1 - 12*z**2 + 0*z**2).\nAnswer: -156*z**3 - 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2790, -8011, -13344, -18795, -24370, -30075?\nAnswer: -35916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = p + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 749.5 - 750. Let s = 3.1 + -3. What is the second smallest value in n, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) 0 (c) 2\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 630*v + 3960.\nAnswer: -5*(v - 132)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/5 - 24*n**4 + 436*n**3\/5 + 6072*n**2\/5 + 2178*n = 0.\nAnswer: -3, 0, 11, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-315)\/(-1215)*306\/21\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*10\/(3\/((-6)\/(-8)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2980 - -2896. Suppose 4*p + 232 = -96. Are p and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9810683 greater than or equal to -9810679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.73 - 3.03. Put v, 3, -3, 151 in decreasing order.\nAnswer: 151, 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -46 - (146 + -116 - 37).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*f = 272*f + 70 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:01 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -45220415 (base 6) in base 16?\nAnswer: -14ecbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, -3\/8, 180.681, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 53. Let d be (-230)\/a - 2\/10. Find the third derivative of -524*g + 524*g + 7*g**2 + d*g**4 wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3 - 3)*(t - 4*t + 2*t) + t**2 - 4*t**2 + 2*t**2 + (6 - 5 + 2)*(15*t**2 + 35*t - 35*t).\nAnswer: 43*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4390291560.\nAnswer: 2, 3, 5, 4483, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*g**5 + 2*g - 2*g) + g**5 + 43*g**5 + 5*g**4 - 18*g**5 + 1.\nAnswer: 30*g**5 + 5*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -23*v - 10. Let b be y(-3). Suppose -7*n - 10 = -b. Solve 4*u - 1 = n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -42. Suppose -148 = -k*d + 88. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/(1*(-15)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 16*k**7\/105 + 19*k**3\/3 - k**2 - 1. Differentiate h(b) with respect to b.\nAnswer: 128*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6 and 11\/628.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 - 910*z**3 - 35585*z**2 + 529620*z - 1693620 = 0. Calculate z.\nAnswer: -97, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1599, 1566, 1475, 1296, 999?\n\"Answer: -5*t**3 + t**2 - t + 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053799.01s in days?\nAnswer: 23.770821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105349 - -156182. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -38, 9 in ascending order.\nAnswer: -38, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*g + 253 = 0, f = 4*g - 16 + 136. Suppose -3*j + 14 = -f. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 6:59 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 - 24 = a, 4*t = 3*a + 13. Let u = -1.474 + -0.526. Sort u, -5, a.\nAnswer: -5, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7114 divided by 28.\nAnswer: 3557\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*f - 13, 0 = -2*f + 4*r + 9 + 1. Suppose f*u = -3*u + 1404. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + -2*(sqrt(304)*-1 + sqrt(304))**2 + (sqrt(304) + -6*sqrt(304)*4)**2*-1).\nAnswer: -964920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-55) - 12\/(-66). Let y be (0 - f)\/((-3)\/9). Solve 0 = -y*j + 13 - 19 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139774024?\nAnswer: 2, 13, 673, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 29 = -4*c, 40 = 5*c - 5*n. Let k be 6\/10 + 1067\/c. What is the tens digit of (28\/(-56))\/((-1)\/k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwbl. What is prob of sequence lb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111111111 - -1001000?\nAnswer: 110001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/33*(39396\/280)\/(-67).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t**2 + 2*t + 2*t**2 - 4*t**2 + 4*t**2 + (-3*t + t + 3*t)*(4*t + 3*t - 5*t) + 2*t - 2*t - t**2)*(-2*t + 0*t + t)*(19 - 28 - 8).\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3213, 3465, 3705, 3927, 4125, 4293, 4425, 4515?\nAnswer: 4557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(c - 2*c + 0*c + (2 - 2 - 1)*(2*c - 5*c + c))*(0 + 2 - 3) to d*c + z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -3. Suppose -6*x = -8 + 8. Suppose -r = x, -3*w - 5*r = -q*w. Solve 0 = -p - w*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 4 - 4)*(0*u**3 - u**4 + 0*u**3) + (3*u**3 - 2*u**3 + 3*u**3)*(2*u**2 - 4*u**2 - u**2).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 34. Let w = 5 - m. Let f(s) = 1139 - s + 1172 - 2315. Let c(n) = -3*n - 7. Give w*f(z) + 3*c(z).\nAnswer: -4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.0263, 1723\/3, 0.3?\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let q be (2 - -3)*(-1 + 4). Suppose -5*r - 3*b = -10 - 10, q = 3*b. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2351 + 1147355\/488. What is the common denominator of -75\/14 and w?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, 9, 4, -13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12846 + -12816. Let o be 6\/(1\/4*6). Suppose 5*y = w + w + 877, w - o = 0. What is the remainder when y is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801358753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7788659 millennia?\nAnswer: 7.788659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*t = -10 + 5, 5*t + 5 = 2*n. Let y be -1 + -2 + (3 - -8). Find the third derivative of 8*k**2 + y*k**2 + n*k**2 - 5*k**2 + 10*k**3 wrt k.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20. Suppose 2*q - 3*q = 4*s - 23, -2*s - 2*q + 16 = d. Solve 4*y - 18 = -2*l, 24 = 5*y + s*l - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*o - 62*k**2 + k*o + 114*o wrt k.\nAnswer: -2*k*o - 124*k + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 6*h**2 - 8*h - 5. Let r be z(-7). Suppose 2 = -r*y + 6. Does 11 divide 1\/(y\/(23 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/875 and 93\/10?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 373, 212, 29, -176, -403, -652?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/10 + (36\/(-30))\/3. Suppose b*v - 4*x + 35480 = 0, -5*v - 2*x - 35515 = x. Round v to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57820885.\nAnswer: 5, 59, 196003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 7*n + 9. Let u be (39\/(-13))\/((-3)\/(-5)). Let o be r(u). Suppose 5*b = 3*b + 2*i + 2, 2*i = 5*b + 4. Sort o, -1\/7, b in descending order.\nAnswer: -1\/7, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q**3 - 6*q**2 + 6*q + 2. Let o be a(7). Let i be (-4)\/(-10) + o\/85. Let c be (i\/77 - 2\/7) + 145. What is the highest common factor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 234627444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2697, 10789, 24281, 43173?\nAnswer: 67465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 160*f + 2247. Calculate the remainder when m(14) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-8)\/(-36)). Which is the third smallest value? (a) 5 (b) z (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740803561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -4.8. Let g = -3.7 + v. What is g rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6812.\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-3237198\nAnswer: -647439.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s = -80*s + 70. Suppose 5*q - 120 = -3*q. Solve -s = 17*g - q*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52188413.\nAnswer: 229, 349, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 + 354*l**4\/7 - 8840*l**3\/7 + 38280*l**2\/7 - 58208*l\/7 + 28416\/7 = 0. Calculate l.\nAnswer: 1, 2, 24, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6)*(24\/(-30) + 1658\/10). What is the greatest common divisor of 270 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-68)\/(-18). Suppose k*y = -0*y + 16, 2*q - 96 = 2*y. What is the greatest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j. Suppose 0 = 2*g - 8, 0 = -l + 2*g + 48 - 54. Let w(c) be the first derivative of 0*c - 9 + 1\/2*c**l. Calculate r(w(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 12) in base 15?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94\/223 - 29390\/2007. Let l = t - -14. Put 1, l, -24 in ascending order.\nAnswer: -24, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2, 4, 0.8, 1, 3\/2, 16.5 in increasing order.\nAnswer: -2\/7, 0.8, 1, 3\/2, 2, 4, 16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (8 + (0 - 0) - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*w - 12 + 31, w = 2*c + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**7\/140 + c**6\/80 - 2*c**2. Suppose h(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r - 1. Let j(n) = -n**2 + 4*n + 11. Let w be j(5). Let k(x) = 8*x**3 - x**2 - 4*x - 6. Suppose 1 - 3 = 2*d. What is d*k(g) + w*u(g)?\nAnswer: -2*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h = 50. Suppose -6*m = -5*s - m + 35, -2*s - 4*m - h = 0. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + 7*r - 61. Let d(q) = 2. Let y(o) = 2*d(o) + t(o). What is the derivative of y(i) wrt i?\nAnswer: -6*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0)*(5 - -4). Let o = 31 + i. Solve 14 = -2*x - o*w, 5*x - 3*x + 4 = w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 + 1. Let o be f(1). Suppose 0 = 3*d + 6, 0 = -3*g - 5*d + 57 + 101. Calculate the highest common divisor of o and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.65239 to one decimal place.\nAnswer: 145.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 - d**2 + 0*d**2 to f*d**2 + y + g*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 98\/7*(-85)\/(-70). Let g be 1*(4\/(-2) + 9). Suppose s + g = j. Calculate the least common multiple of s and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 8 = 197*q + 9. Factor -5\/2*u**2 + q + 15\/4*u**3 - 5\/4*u.\nAnswer: 5*u*(u - 1)*(3*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4\/5)*c**(-1\/4))**2\/((c*c**(7\/3))\/(c\/c**10))**(7\/2) assuming c is positive.\nAnswer: c**(-601\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 - 2*m**2 + m + 2. Let u be 6 - 3 - (-1 - -2). Let k be t(u). Calculate the greatest common factor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 251*s + 415 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 8*p, 7*p - 5*p = 5*x + 10*p - 159 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(sqrt(1573) + 2 + (sqrt(1573) + 0 - sqrt(1573)))*-1*5*2)**2*-6.\nAnswer: 105600*sqrt(13) + 3784800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**4 + 3*l**4 - 5*l**4 + l**3 - l**3 - 2*l**4 + (1 - 1 + l**3)*(-3*l + 2*l + 4*l) + (-4*l**3 + 5*l**3 + 3*l**3)*(4*l - 5*l + 2*l).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**2. Let v(k) = 4*k**2 + 723 - 1473 + 737. Calculate x(v(m)).\nAnswer: 176*m**4 - 1144*m**2 + 1859","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -43962.5 and 23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y. Let u = -1776 - -7004. Let m(l) = 5228 - 112*l - u. Determine 3*m(n) + 49*o(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46994 is divided by 73?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 777*u + 5. Let m be x(11). Let t = 15771 - m. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 18*w - 51 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-27) - (-229)\/63 and -17\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 49*w + 5. Let q(k) = -99*k - 8. Give -5*o(p) - 3*q(p).\nAnswer: 52*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 34*d - 14. Let c be z(28). Let r = 185 + c. Calculate the greatest common divisor of 33 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 = 3, 2*v = 2*k + 38. Suppose -2*d + 2*s - v = -s, 4*s - 6 = d. Are -13 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 78, 3\/5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1 - 3)*((-13)\/(-39) + (-2)\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 23 - 2 + 0*n - 10*n. Let u be c(-12). Let l = u - -112. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, c: 12}. Give prob of sequence ss.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.260051 to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**3 - 12*s**2 - 26*s + 47. Give p(6).\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-6)\/(-24)*16 - 2) + -8. Let p(c) = -c**3 - 12*c**2 - 25*c + 13. Give p(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1542, 1545, 1550, 1557, 1566?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4039, -8078, -12117, -16156, -20195, -24234?\nAnswer: -28273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145269 + 145273. What is d in -2\/3*d + 0 - 2\/9*d**3 - 2\/9*d**q + 10\/9*d**2 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 3932*r + 260964.\nAnswer: -(r - 11862)*(r + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/5 - 55112*v\/5 - 379666568\/5 = 0.\nAnswer: -13778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 2*p - 5. Let g be ((-5 - -10) + -6)*(0 - -1). Let w(h) = -h - 1. Determine g*r(o) + 2*w(o).\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -96 - -36 - -58.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11980454*t**4 + 2*t**2 + 32551213*t.\nAnswer: -143765448*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Let q(t) = -14*t + 6. Let g(z) = -5*b(z) - q(z). Let a be g(-1). Calculate the remainder when 2\/(-5) - 688\/a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 23*t + 62 = -5*i, 3*t = i - 24. Put i, -5, 147, -2 in ascending order.\nAnswer: -5, -2, i, 147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305.99295 + -306. Round n to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 1. Let p be l(1). Suppose 45 = p*j - 2*j. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 6 - 42. Let g(x) = x - 10. Let p be g(12). Let n be 8*a\/(p*-4). What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2)*k*k*k**(3\/5)*k)\/(((k\/(k*k\/(k*k**(6\/5))))\/k)\/(k\/k**(-6)))*((k\/(k**8\/k*k*k))\/(k**(-1\/4)*k))\/(k\/k**(2\/3)*k**8\/k) assuming k is positive.\nAnswer: k**(-401\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*f + 7*y + 131, 4*y = 2*f - 124. What is the smallest common multiple of f and 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 687892808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 + 13. Let p(k) = -10*k**2 - 26. Let y(g) = -7*a(g) - 3*p(g). Let t(o) = -2*o**2 - 6. Calculate -13*t(q) + 6*y(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 107*v - 5. Let w(x) = -53*x + 2. Let t be 34\/(-255)*20\/6 - 82\/18. Calculate t*w(q) - 2*s(q).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, o: 18}. Give prob of picking 1 o and 1 s.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 7*a - 11. What is b(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -206 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/((r*r\/(r**(-1\/3)*r))\/r))**16 assuming r is positive.\nAnswer: r**(-448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777136487 to the power of 1\/2, to the nearest integer?\nAnswer: 61458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(78)\/(2*sqrt(384)).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*r + 1, r = 5*r + 2*g + 12. Let d be -3*(r + (-2)\/6). Solve -2*o = 2*o + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*p + 1)*(-2*p**3 + 0*p**3 + 3*p**3) - 164*p**4 + 11*p**4 - 41*p**4.\nAnswer: -196*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 + 484 = 172*w - 1396. Calculate the greatest common divisor of w and 4512.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 4516 - 701 + 441. Solve -t*d = -207*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-12))\/(360\/864*(-2)\/24).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4455*t - 22245. What is w(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(24)\/sqrt(8)) - sqrt(44) - -5*-5*(sqrt(11) - sqrt(33)\/sqrt(3)))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1735*u + 1731*u + 2*o + 4182 = 0, 3*o + 9 = 0. Calculate the highest common factor of 324 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*l**3 - 5700*l**2 + 26895*l - 30250 = 0.\nAnswer: -50, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyydyyyydy. Give prob of picking 2 y and 1 d.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 67, 106?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68a - -1?\nAnswer: 68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + l + 19*l**2 - 2*l. Let y(v) = 4*v**2 + 1121 - 1121 - 2*v**2. Give n(y(x)).\nAnswer: 68*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/6*(-12)\/10. Let l be b\/(-4)*-23*1. Suppose -2*v = -6*v - 3*h + l, 0 = 4*v - 5*h - 15. Solve v*k + 10 = -5*j, j - 12 = 5*j + 5*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 46*m. Is -2\/599 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and 95\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 2 = 3*v + 55*d, 3*v = -4*d - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 3:31 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/9 + (-4380)\/(-540). Solve 0 = 19*p - d*p - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m*m\/((m\/((m\/(m\/(m**8*m)))\/m)*m*m)\/m)*(m**(-4\/5)*m*m)\/(((m\/(m\/(m*(m*m*m**(-7)\/m)\/m*m)))\/m*m)\/m))**(-19) assuming m is positive.\nAnswer: m**(-1064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -213?\nAnswer: -1\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -192*f - 3721. Determine b(-23).\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 21*r. Solve r = l - 5*v + 11, -5*l = -5*v + 2 + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 6859 + 484. Let n = -37 + v. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10359960 and 585.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19066008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 116 - 132 = -3*i, -5*i = -5*u. Suppose 0 = -k - 3*k + 16. Find the second derivative of -3*g - g**i + 7*g**2 - k*g**2 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -120024 at most as big as -119642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:27 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2. Let h = -8 - -12. Let m(f) = f - 5. Let p be m(h). Let n be o(p). Which is the nearest to 0.1? (a) n (b) 4\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202142210 (base 6) in base 7?\nAnswer: -41313666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pigsgpsk. Give prob of sequence pgs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 + 6330*m - 568512 = 0. Calculate m.\nAnswer: 94, 2016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 4290 + 4098 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -270 - -32?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-63)\/336*12)\/(-3). Let n(o) be the first derivative of -30 - t*o**4 + 0*o**3 + 12*o**2 + 0*o. What is the second derivative of n(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-238)\/(-68))\/(35\/10) + (-24)\/(4 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797947199.\nAnswer: 7, 19, 5999603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 735 and 32202408.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2806, 2781, 2744, 2689, 2610?\nAnswer: 2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26133\/2 + -13068. Which is the nearest to s? (a) -2 (b) 0.4 (c) -2\/7 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:48 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.01 (c) -2 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 20 - 65 + 7 = 14*g, -14*m + g = 15 + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 730, 1090, 1450, 1810?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2. Let a(s) = -11*s - 3. Let o be a(-2). Let v(r) = -1115*r + o*r**2 + 1115*r. Determine v(y(l)).\nAnswer: 76*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 3*j - 489695*j**3 + 979394*j**3 - 489701*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (184\/(-138))\/((-2)\/(-3)) - -4. What is the closest to h in -5, 3, 2\/21, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g - 2*g)*(-4*g**2 - 2*g**3 + 4*g**2)*(-2 - 1 + 1 + 5 - 5 - 2 + (0 + 1 - 2)*(5 - 3 - 4)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -728*y - 6991. What is k(-7)?\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23 - (-1 + 2))*(-60)\/(-80). Let r be 10\/35*(-189)\/j. Solve -2 + 17 = r*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 8 - -14) + -4 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 140*o**2 - 141*o**2 + 17 - 11*o + 40 - 10*o. Let x be f(-22). Solve 11*m - 90 = -x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -499? (a) -0.3 (b) -1\/6 (c) -4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-8 + (-63)\/(-7)). Solve -5*s - q + 30 = 5, -11 = s - j*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64235796.\nAnswer: 2, 3, 977, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -637.4936 - -16.6788\nAnswer: -620.8148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 188*d - 3291. What is b(-69)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6210 + 2?\nAnswer: -620e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -374a489?\nAnswer: -374a485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2057) - sqrt(2057) - sqrt(2057)) + sqrt(2057) + 3)*6)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 55 - 21. Suppose 2 = -4*t + c. Suppose -2*g + 0*g = -3*p + t, -5*p + 12 = -3*g. Solve 6*m - 5*m + 3 = p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.006525 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.103 - 51.103. Let b = 16 + o. Let c = b - -35.0017. Round c to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2 (c) -2209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -923 * 3\nAnswer: -2769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c0 - 46?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/35*5*((-14)\/(-6))\/(-7)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42244169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**5 - 56*f**3 + f**2 - 46*f - 1?\nAnswer: -240*f**2 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 = -2*i, 0 = 2*i - 2*a + 3*a - 18. Find the third derivative of -9*h**2 - 5*h**2 - 4*h**2 + i*h**3 wrt h.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1152) + (sqrt(18) - (sqrt(1152) + -4*sqrt(1152) - sqrt(1152) - sqrt(1152))))\/(sqrt(216) - sqrt(216)*2*-2 - (sqrt(216)*1 + sqrt(216))*-1))**2.\nAnswer: 289\/588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6322439 to four decimal places.\nAnswer: -0.6322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - 11*q**2 - 26*q**3.\nAnswer: -26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -23, 17, 2, 4 in increasing order.\nAnswer: -23, -7, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73862251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 133752734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 197882025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let b(f) be the first derivative of f**5\/60 + 3*f**2\/2 + 2. Let z(v) be the second derivative of b(v). What is g(z(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = -112. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026*h - 2 - 1024*h - 3.\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670325.\nAnswer: 5, 26813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + -245. Solve -m + 5*n - 7 = -27, -5*m + 5*n = -z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-9))**(-8)*(t**(-1\/6))**(-1\/6) assuming t is positive.\nAnswer: t**(-2879\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {t: 3, j: 6, q: 1, d: 1, i: 1, z: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5860*-0.4.\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 15. Suppose -v - 10 = -t*v. Solve 2*y + 3*x - 1 = 0, 3*x = v*y - 18 - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 2150. Let a(n) = -1008*n. What is a(f(c))?\nAnswer: 2016*c + 2167200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)*q**(4\/7)*(q**(-2))**(-2\/13) assuming q is positive.\nAnswer: q**(-1012\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from cuancnnaunnucnc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d**4 - 438*d**3*r**2 - 4*d**3 + d**2*r + 4*d**2 + 26*d*r**2 + 14*d wrt d?\nAnswer: -312*d - 2628*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 952\/98)*(-86 + 93) + (0 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34280 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/9 - 21392*g**2\/9 + 19251448*g\/3 - 327295904 = 0. What is g?\nAnswer: 52, 5322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496693395 minus -10?\nAnswer: 1496693405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 3*g**4 - g**3 - g + (0*g**3 + g**3 - 3*g**3)*(0 + 0 - g).\nAnswer: 5*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, 1, -3 in descending order.\nAnswer: 1, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*u - 32 = 0, -5*a = 4*u - 0*u - 41 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + c = -10, 31 = -3*c + 46 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 14041443?\nAnswer: -14041444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/50)\/(-1) - 404\/40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 p when four letters picked without replacement from {c: 5, p: 5, i: 4}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 + 13)*(-2*t**5 + t**5 + 2*t**5) - 105*t**4 + 17*t**5 + 105*t**4.\nAnswer: 33*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 77*g - 35. Let n be k(38). What is the first derivative of 116 + 18*z - z - 102*z**n - 17*z wrt z?\nAnswer: -306*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 8*b + 4. Let d be h(8). Suppose -d*k + 14 = 5*s, 2 = 3*s - 4*k - 0. Suppose s*y = -3*y + 10. What is the smallest common multiple of y and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -5, -2\/11, 25478, -0.2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -8, 61, 7, 1\/151?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + l)*(8 + 2 - 3) + 3*l + 1 - 1.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563332188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -41.18, -2\/29 in decreasing order.\nAnswer: 8, -2\/29, -41.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*z - 80, 2034 - 2082 = 3*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1643 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1300)*1*5 + 0 + 0)*-5)**2.\nAnswer: 12500*sqrt(13) + 813125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 42279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 14*k + 78. Suppose 0 = -5*v + 10, -4*r + v = -2*v + 2. Suppose 2*a - 25 = r. Calculate the highest common divisor of k and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1797874, 3595742, 5393612, 7191484, 8989358, 10787234, 12585112?\nAnswer: 14382992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 351 - 286. Let c = h - -24. Round c to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(65\/(-104)))\/((-2)\/5). Let a = 0 + 0. Suppose 3*x + t*i - 324 = -x, a = 2*x - i - 177. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**6*l - 699*h**6 - 39*h**2*l + 2*h**2 - 3*l wrt h?\nAnswer: 240*h**3*l - 83880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4246933729.\nAnswer: 4246933729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. Suppose -o - o + 2 = 0. Let p be (8\/(-24))\/(o\/(-12)). Sort p, q, -2.\nAnswer: -2, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 28 + 16 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 2*s**2 - 2*s. What is the remainder when 71 is divided by w(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9be9 (base 15) to base 13\nAnswer: -1208a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 28 = -148. Calculate the remainder when 64 is divided by m\/(-6)*(-3 - -6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 8*k - 7. Give j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 1 = -8*t - 3*n, -5*t - 5*n = -15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 4100.191518317?\nAnswer: 4105.191518317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -71*l + 33. Let w be z(14). Let s = 1432 + w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 11*g**2 + 98*g - 65. Let k be o(-17). What is the nearest to -0.03 in -0.02, 0.1, k?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*b - 122*b + 352*b - 115*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/16 (b) -2\/15 (c) 2\/9 (d) 9686694 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*l**2 - 4)*(l - 6*l + 0*l**2 + l**2).\nAnswer: -3*l**4 + 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - -0.08. Let g = 0.04 + v. Which is the second biggest value? (a) g (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543 - -1145. What are the prime factors of w?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/120 + x**5\/5 - x**4\/12 - 13*x**3\/6 - 8*x**2 + 6*x. Calculate d(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26355233 + 0.02?\nAnswer: 26355233.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2908274 days in minutes?\nAnswer: 418.791456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 6*t**2 + 4*t + 5. Let v(i) = 8*i**2 + 45*i - 14. Let p be v(-6). Let y(n) = -2*n**3 - 7*n**2 - 5*n - 6. What is p*y(u) + 5*g(u)?\nAnswer: -3*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, i: 2, s: 2, p: 2, g: 2}. What is prob of sequence gpi?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*s - k, -s - k = 9 - 4. Let m(n) be the second derivative of 5\/9*n**4 - 1\/24*n**5 + 0*n**2 + 0*n**s + 0 - 19*n. Factor m(c).\nAnswer: -5*c**2*(c - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.066 + 10.194. Let m = -564 + 553.7. Let h = g + m. Is 0.06 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - y + 40 = 0, 18 = 2*z - 2735*y + 1355*y + 1378*y for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f. Let p(b) be the first derivative of b**3\/3 + b**2\/2 + 10*b + 11. Is p(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7146 - 292994\/41. Put 0.07, 3, w, -5 in increasing order.\nAnswer: -5, w, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (5 - 2))\/(14 - 13). Let p be (-361)\/(-4) - (-3)\/(-12). Let y = p + -63. Calculate the highest common factor of y and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(310\/(-75))*1566\/(-243)*(-6)\/(-5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxtllututuoullouzol. What is prob of sequence xo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5568 and 68\/435.\nAnswer: 27840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 6*l + 96. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-14)*-1 + 1*5. Solve -5*f + y*a = -7, 2 = 3*a - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9 - 11. Suppose 15 + 15 = r*d. Suppose 3*z + 252 = d*z. What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*d**3 - 22084*d**2 - 50608*d - 12656.\nAnswer: 4*(d - 791)*(d + 2)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(720) + sqrt(720))*-6 + (-1*sqrt(720) + 5 - sqrt(720)))**2 + (-1 + sqrt(720) + 3)**2*4.\nAnswer: 528*sqrt(5) + 144019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -7*j**5\/5 - 37*j**4\/4 + 187*j**3\/3 + j**2 - 549. Find the third derivative of m(b) wrt b.\nAnswer: -168*b - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109746\/(-4221)*(3\/12)\/1.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 0.38.\nAnswer: -12.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-2*c + 4 - 4) + (-2*c + c - c)*(c - 4*c + c) + 0*c - 7*c**2 + 0*c.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516839964 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 78\/4)\/((-41)\/(-4)). Let n = 1689\/656 + a. Calculate the common denominator of n and -39\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 244 + 1321?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471 - 730. Let s = z + 141. Let o = 101 - s. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -2. Suppose -5*l - y = -5*j, 2*j - l - 5 - 3 = 0. Suppose -6*x**2 - 3*x + 5*x**5 - 2*x**3 + 3 + 3*x**4 + 6*x - j*x**3 - 2*x**5 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 0.76. Let g = f + -0.06245. Round g to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*a - 123*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:30 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x + 1. Let d(z) = -z**2 + 8*z + 4. Let a be d(9). Let u be c(a). Suppose 3*h - u = 43. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(45\/2)*5. Let u = 133\/15 - 9. What is the second biggest value in 0.07, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, u: 15}. What is prob of picking 2 e and 1 u?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**3 + 153*w - 75*w - 49*w - 10 + 17*w**3 as f + v*w**2 + j*w + y*w**3 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -775*n**6 + 83*n + 3*n - 29*n**2 - 30*n**2 + 49*n**2 + 98*n**6 wrt n.\nAnswer: -81240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 686135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-45))\/(117\/13*(-6)\/(-1305)).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2. Let k(b) = 394*b - 19. Let q(t) = -1126*t + 55. Let m(x) = 17*k(x) + 6*q(x). Calculate h(m(d)).\nAnswer: -13456*d**2 + 3248*d - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 245 + -171. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 98*r + 208 - 208 as a*r**2 + f*r + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28734 is divided by 28675?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezewgezwzzege. What is prob of sequence eggz?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -11 + (-10 - -19 - 4) + 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(4 - (-18)\/(-4)). Let x(m) be the second derivative of 0*m**2 + 2\/3*m**3 + z - m. Let k(f) = -2*f. What is k(x(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -3\/7, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*w - 3*t, -3*t = -5*w + 2*t + 55. Solve x - w = b, -2*b - b = 3*x + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 24*y + 22. Let c be w(-23). Let u = 53 - c. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3)*9\/(-6). Let j = 453.8 + -453.5. Let k(l) = l**3 - l - 1. Let q be k(2). What is the closest to n in j, q, 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/721?\nAnswer: -2\/721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53777\/5 + 10686. Let w = -69 - c. Factor 4\/5*m + 0*m**2 - 4\/5*m**3 + 2\/5 - w*m**4.\nAnswer: -2*(m - 1)*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 82576?\nAnswer: 82581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13968064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27148\/9 - -3022. Find the common denominator of d and -15\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 0 + 0 = 0. Suppose -3*v - 5*c + 14 = 0, -2*v + c = -8 + 3. Let k be (6 + -3 - v)\/2. Solve j - 3*u + 14 = f, -u = -5*j - k*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*350\/84 + 2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.1178 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - ((4 - -12) + 5) - 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 + 0 - 3) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4751*t + 24107. Let z(m) = 11877*m - 60268. Let n(f) = -12*g(f) - 5*z(f). What is the derivative of n(j) wrt j?\nAnswer: -2373","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9760\/10980*(-9)\/168?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320699596 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -791177.\nAnswer: -10\/791177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 3*k - 4. Let i(d) = -13*d**2 + 3018*d + 24. Give -i(o) - 6*x(o).\nAnswer: o**2 - 3036*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 259814930 plus -317207?\nAnswer: 259497723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2. Let t(o) = -o - 2. Determine -3*m(s) + 2*t(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153741 plus 11.2514065?\nAnswer: -2153729.7485935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3. Let o(b) = -b + 3. Let l(j) = 4*o(j) - 5*q(j). Let a(v) = 24*v + 17. Let r(u) = -6*a(u) - 34*l(u). Is r(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37165 + -17556. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l + 12. Let j be (-11)\/l - 1\/(-4). Which is greater: -2\/7 or j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 118, 204, 444, 916, 1698, 2868?\n\"Answer: 13*z**3 - z**2 - 2*z + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 0)*-6)**2 - ((-4 + (sqrt(612) - (sqrt(612) - sqrt(612)*3)))**2 - sqrt(612) - sqrt(612)).\nAnswer: 156*sqrt(17) + 24464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - y + 100. Let l be k(-10). Solve -q + l = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -17*s + 1125 + 2355. Solve 0 = -s*j + 213*j - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r + 40954 = 57*r - 5*s, -5*r - s + 68210 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*s**2 - 1357*g**2 - 1516*g*s**3 + 115*g - 48*s**2 wrt s.\nAnswer: -6*g**2*s - 4548*g*s**2 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5718281542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 11046144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 + (0 - 5 + 3)*(3 - 4 + 2) - 25 + 2 + 5 + (3 - 6 + 1)*(5 - 1 - 3))*(1 - 2*f**2 - 1).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/6)\/(6\/(-432)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o - 246 = -36*o + 81*o - 1147 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 31*o**2 + 35*o + 147. Calculate y(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -0.5 (c) 0.8651 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3488 times 2\nAnswer: 6976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 13*y**2 + 40*y + 6. Let v be g(-8). Solve -4*q + 2*n + v = 0, 2 + 1 = -q + 2*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -0.2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14067533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 48, -4, -2 in descending order.\nAnswer: 116, 48, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 5*g + 8. Suppose 4 - g = 9*w. Solve -3*c + w*c = 4*a - 19, 5*c = 5*a + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -w - 252, -184*w + 181*w = -28*q - 2352 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -31, -28, -21, -10, 5, 24?\n\"Answer: 2*t**2 - 7*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 + -4.9. What is the closest to 2 in -2\/7, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*d - 5, 4*s - 3*s + 2*d = 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(704)*2 - sqrt(11)))**2.\nAnswer: -120*sqrt(11) + 2491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 23 + 13 = 0. Which is the closest to 0.2? (a) -0.4 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284625 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3677 - -9386. Which is smaller: u or 5711?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 4*p + 245, 3*n - 711 = 4*p. Suppose 0 = 5*u + 3*z - 7*z - n, -5*z = 3*u - 125. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -9. Let i = f - -9. Let h be (1 + 1 + -1)\/i. Sort 3, h, 1 in decreasing order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31214, -31229, -31264, -31319?\nAnswer: -31394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxwdiiy. What is prob of sequence iyd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 - 4*b**3 - 8*b**2 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 94*u**6 - 2951*u**2\/2 + 2*u - 1763. What is the derivative of d(c) wrt c?\nAnswer: 11280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + g**2 - 2*g**2 + (-87*g + 165*g - 90*g)*(-6*g - 13 + 13))*(-3*g + 4*g + 2 - 3*g).\nAnswer: -142*g**3 + 142*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(162) - sqrt(162)*2) - (0 + sqrt(8))*-3.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*l = 15, 3*l + 25 = 5*s - 2*l. Solve z + 7 = -s*p, 4*p - 6 = z + 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (2 - (-1 - (-8 + 4 - -3)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11392013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -240 and -20146.\nAnswer: 4835040","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 5 + -1 - 2. Suppose z = -5*p + 3*p + 4. Let l(o) = o**2 + 4*o + 2. Calculate the smallest common multiple of l(-6) and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/3)\/u))**40\/((u*u*u**6)\/u**(-1\/2)))\/(u*u**(-6\/7)*u*u*u*u**(-4)*u*u*u*u*u*(u**(-1))**(6\/7)) assuming u is positive.\nAnswer: u**(3425\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {e: 4, g: 11, j: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 5. Let i be k(4). Calculate the highest common factor of i and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 55*c + 828. Is 62 a factor of y(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 14*l - 12*l = 47, 3*l = 2*b - 15 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1211, 5, 0.1, -4, -5?\nAnswer: -0.1211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5303 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 28?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.5, 3, -2\/5, 1707, -1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 375743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4876010332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 16*s**2 + 6*s - 83. Calculate n(17).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 + 116. Suppose -246 = -3*p - 5*c, -p = -7*c + 2*c - 102. Suppose 5*l - p - 18 = 0. Sort -1, l, s in increasing order.\nAnswer: s, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -12*o**2. Let a(g) = g + 50. Determine d(a(f)).\nAnswer: -12*f**2 - 1200*f - 30000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1297900 to the nearest ten thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n**2 + 67*n - 134. Let s be g(2). Calculate the greatest common divisor of s and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/21 - 340\/(-14). Suppose -f*u = -19*u + 155. Let i = 32 + u. Solve -z = i - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1116)\/153) + -343 + 331.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - 100001000110?\nAnswer: -100001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0799 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 78 = 3*h - 8, -4*l - 20 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by (-3)\/(-12) + 22466\/376.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24551 + 463 = -8*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99008\/3 - 32561. Which is smaller: q or 443?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. Suppose 0 = a + b*a, 54 = 3*z + 2*a. What is the second derivative of 90*x**3 - 36*x**3 + z*x - 43*x**3 wrt x?\nAnswer: 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1387 = -4*x + 489, z = 5*x + 493. Suppose 127*k - z = 126*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -209016 greater than -2926221\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -k - 24, -2*u + k + 44 = -0*k. Suppose -u = -5*t - 0. Let o = t + 5. Solve -3*b - 3 = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 75, 116?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 4*x**2 - 2*x. Let n be 3 + 2 + 14\/(-2). Let d be p(n). Suppose -d*u + 45 = -u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggiggggg. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/54 - 58*l**3\/27 - 841*l**2\/9 - 93*l. Factor t(y).\nAnswer: -2*(y + 29)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062596 to four dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 75*j + 74. Which is the nearest to -39\/8? (a) -5 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4950*-126\nAnswer: 623700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.094 * 0.21.\nAnswer: 0.01974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03695 + -0.01951. Let z = -0.058 - f. What is z rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -4.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 7*o - 21. Let p be f(6). Suppose p = 3*a - 0*a. Let d = -11 + a. Solve -3*b - d = -4*b + 5*l, 3*b - l = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) - sqrt(153)*2 - sqrt(153)) - sqrt(153) - (5*((sqrt(153)*2 - sqrt(153) - sqrt(153)) + sqrt(153)) - sqrt(153)))\/(sqrt(108)\/(sqrt(192)*2)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80285970 divided by 5?\nAnswer: -16057194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351.62972 seconds in weeks?\nAnswer: 0.0022348375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -22*d**3 - 3*d**2 - 2*d - 5. Let f = -162 + 158. Is w(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/19)*a**5)\/(a\/(a*a**(-1\/4))*a*a**5))**(-36) assuming a is positive.\nAnswer: a**(99\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 8) + (-3 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Let s = 45\/44 - 14\/11. Let j = 0.4 - 0.1. What is the closest to s in k, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 - 21423*t**2 - 451146*t - 429720 = 0. What is t?\nAnswer: -20, -1, 7162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let b(s) be the third derivative of -s**5\/10 - 3*s**2. What is z(b(t))?\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 8*d - 7. Suppose 4*s = 8 + 16. Suppose 2*z - s*z = -32. What is g(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10120)\/108 + (-7088)\/23922.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0029 (b) 3 (c) 2 (d) 9 (e) -0.5 (f) -1.001 (g) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (563*h + 171*h - 1358*h)*((3*h - 3*h - 2*h)*(-1 - 1 + 0) - 3*h - h + 5*h + 29*h - 87*h + 44*h) to the form p*h**2 + i + s*h and give p.\nAnswer: 5616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2021.68767 - -91497412.31233. Let r = 91499433.49999983 - g. Let c = r + 0.5. Round c to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*d + 125*d = 2791447 + 3958725. Does 326 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 7:43 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i = 42*i - 37*h + 39*h - 35, -4*i = 4*h - 88 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*w**3 + 0 - 4\/9*w**2 + 1\/9*w**4 + 8\/9*w.\nAnswer: w*(w - 2)**2*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:21 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*t + 41. Let h(o) = 2*o**3 + 20*o**2 + 14*o + 6. Let m be h(-9). What is the highest common divisor of t and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4298 a factor of 1423880949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 950 - 2409?\nAnswer: -1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s + 4. Determine z(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(2\/11)*k*k**1*k**(-2\/17)*k*k*k\/k**10 assuming k is positive.\nAnswer: k**(-736\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 - 15. Is j a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 11 + 1)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 78086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + 4*j**2 + 4*j - 1. Let r be v(-3). Let w = -124 - r. What is the common denominator of 31\/10 and -6 + 6 + w\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/480 - m**4\/16 - 2*m**3\/3 - 21*m**2 - 8*m. Factor z(p).\nAnswer: -(p + 4)*(p + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.057.\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -405\/31?\nAnswer: -405\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 16 = 2*b, 6*b - 2*b = -l - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 20 + 3 = 4*b, b + 8 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*o**3 + 171*o**3 + 102*o**3 + (0*o**3 + 2*o**3 - 4*o**3)*(4 + 0 - 3) - 2*o**3 + 3 - 3 + 2*o**3 + 2*o**3 - 5*o**3.\nAnswer: 222*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -269903 at least as big as -269903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3270 = -0*v. Suppose 3*l = -0*l - 3*a + 7050, 5*l = -3*a + 11748. Let z = v + l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -1, -3, -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 4*r**2 + 3*r**2)*(13 - 4 + 12).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 23259525?\nAnswer: -23259525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -37. Suppose 5*o + t = -25. Let z(h) = h + 3*h + 8 - 7*h + 5*h. Give z(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.81363g to milligrams.\nAnswer: 84813.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 398676 and 7840628?\nAnswer: 23521884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**2*z - g**2 + 3*g*z**2 + 4*z**2 - 32 wrt g.\nAnswer: 20*g*z - 2*g + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 12. Let t(x) = x - 27. Let a(o) = -31. Let u(d) = -a(d) + t(d). What is 2*q(z) + 7*u(z)?\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24303320 (base 5) to base 13\nAnswer: 80076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*q = 227, 3*q = o + o - 439. Suppose 4*i = 5*h - 30, 4*h - 24 = i - 3*i. Suppose -f - o = -h*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oros when four letters picked without replacement from rosrrsrssro.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 7360847.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32862033 divided by 41.\nAnswer: -801513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0 + 1\/2*i**3 - 1\/10*i**5 + 0*i**4 + 2*i + 0*i**2. What is the second derivative of r(z) wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z - 5. Suppose 0*v = -4*v + 8. Let k be j(v). Suppose k*w - 4*a - 120 = 0, -w - a = 2 - 42. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = n + 3*b - 2, -2*n - 2*b = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12270298 >= 12270335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 5*b - 3. Let v be g(-4). Let d = -117 - -123. Suppose d*u - 24 = 42. Calculate the greatest common divisor of u and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*f + 675 = 0, 4*f + 564 = 5*z - 280. What is the highest common factor of z and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2105\/8 - -254. Let c = -5666 + 1031197\/182. Let b = c + -2936\/1365. What is the common denominator of p and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 7. Let w be h(0). Let m(k) = 8 + 4*k**2 + 2*k**2 - 5*k**2 - 7*k. Does 5 divide m(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2\/11*t**3 - 6*t**2 + 66*t - 242 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164928, -164929, -164930, -164931?\nAnswer: -164932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + 10231301?\nAnswer: 10231121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 17 + 7. Suppose 5*i - b*i - 8 = 0. Suppose 5*s + p = i*p + 373, -s + 2*p + 76 = 0. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 180 + 3*i**2 + 2*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -28*u**2 + 1. Let x be y(2). List the prime factors of x\/6*(-2)\/1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 10*v + 8. Determine f(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**3 + 1. Let j(d) = -d**2 - 6*d - 5. Let c be j(-4). Suppose -8 = -7*y + c*y. Suppose 3 = p + y. Calculate b(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -10*i**2 - 6*i - 17. Let o(y) = -y**2 + y + 3. What is n(b) + 5*o(b)?\nAnswer: -15*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p + 472 = -32*p + 21*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + -11.6. Let d = q - -9. Let x be 1\/(-2)*6 + 210\/66. Which is the smallest value? (a) d (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**2 - 2*b - 3. Let x = 13 + -9. Suppose 0 = -2*o + 4*o + x. Is k(o) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*l + 34, l = 4*v - 2*l - 49. Solve 2*o - 3 = -0*o + 3*p, 0 = -5*o + 2*p + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184703518 rounded to five dps?\nAnswer: 0.1847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85687 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12937312 (base 10) to base 11.\nAnswer: -7336aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8 plus -2404?\nAnswer: -2383.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlnrr. What is prob of picking 1 l, 2 r, and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604160.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38 + -48 - 142\/(-14). What is the third smallest value in i, -313, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 152 = 4*f + 54, 0 = 3*f + 2*i - 73. Let x = -16 + 10. Let u be 9610\/35 - x\/14. What is the highest common divisor of f and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4311924 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 199, -4, 76, 4 in descending order.\nAnswer: 199, 76, 24, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 1709514.902679?\nAnswer: -1709512.902679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/3)\/4)\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*b + 11, -5*b + 5 = j + 4*j. Solve -5*z - 3*x + 2*x - 26 = 0, -j*z = x + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, z: 2, c: 2, w: 4, e: 3}. What is prob of picking 1 e and 3 i?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/332 and -77\/332.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*g + 2 = 12, 5*g - 95 = -5*m. Let q = -7 + m. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8862 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 - 26 - 381*f**2 + 370*f**2 to y*f**2 + i*f + q and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/14 + 6\/(-21). Suppose -b*h + 8 = -3*h. Let q(o) = 177501*o**2 - 3*o + 2. Let j be q(h). Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/2 + 1 - 4\/2. Let t(q) = q**3 - 2*q. Give t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-35)\/(-8848)). Suppose 0 = j + 54 + 73. Let k = u - j. Sort 5, 1, k in ascending order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or 1\/3?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/6*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5*n*n)**(-5\/6)*(n**(-1\/4)*n)**(12\/11) assuming n is positive.\nAnswer: n**(-193\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3317 + -17772\/5. Is -237 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4 - 1 + 2\/3*r**3 + 0*r + 0*r**2. What is the third derivative of c(f) wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, 4, 18\/2936593 in ascending order.\nAnswer: -0.2, 18\/2936593, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 628\/6 + 1\/3. Let g(u) = -9*u - 2. Let a be g(-7). Let r = l - a. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 5*f + 4 + 0*f - 1. List the prime factors of k(4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2387 - -2419. Solve 25*i - g*i - 42 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:48 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 585*y + 966\/5*y**2 + 0 - 3\/5*y**3 = 0. Calculate y.\nAnswer: -3, 0, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 15*h**2 + 37*h + 98. Let o be t(-9). Solve 6*k = o*k - 4*s - 6, -k - s + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121720 and 1084872.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 17*d + 336 = 15*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-1)\/(-2)). Let o(y) = 3*y + 3. Let t be o(u). Let i = t - -12. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*n + 2 = -5*y, 5*y - n - 14 = 0. Differentiate -y*s**2 + 72*s - 3 - 72*s wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10404 and -99\/253624.\nAnswer: 659676024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 2\/7 (c) 1\/514 (d) -15 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.9. Let b(r) = -5*r - 100. Let a be b(-30). Suppose 2*u + a = -4*q, 3*u = -5*q - 0*q - 63. Put y, q, -2\/7 in decreasing order.\nAnswer: -2\/7, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 566626 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -84*l**2 + l + 1. Calculate a(1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -464 + 464. Solve f = -t*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 12. Suppose d*b - 109 = -3*t, -3*t = -4*b + 2*t + 117. Is 4\/((-16)\/(-7))*b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**2*h*j**3*u - 3*d**2*h*j**3 + 2*d**2*u + 2*d*h*j**3 - 8*d*j**2*u + d*j**2 - d + 3*h*j**3 wrt d?\nAnswer: -8*h*j**3*u - 6*h*j**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8180 minus -325?\nAnswer: -7855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 452.7 - 452.2. What is the closest to 1 in 2, q, 1\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1280*j + 3933. What is d(3)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3257 and 1251700927?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**2 + 5*o. Let g(r) be the first derivative of r**3\/3 - r**2\/2 + 2. Let w(d) = -5*g(d) - h(d). Let f(m) = m**2. Calculate f(w(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 - f**2 - f + 1. Let x be p(1). Let g(w) = -w**2 - 5*w + 3. Calculate g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.156, -4, 4, -1 in decreasing order.\nAnswer: 4, 0.156, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1985680110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -160*f**2 + 3*f + 3. Let q(r) = -r**2 - r - 1. Give 3*q(c) + s(c).\nAnswer: -163*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**4 + h**2 - 1. Let d(x) = 205*x**4 + 4*x**2 + 402*x - 2. Let u(a) = -d(a) + 4*f(a). Find the second derivative of u(g) wrt g.\nAnswer: -2556*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -13073.\nAnswer: 9\/13073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 86 = 6*s. Let u = 128\/3 - s. Which is the second biggest value? (a) u (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2)\/(8\/(-10)). What is the units digit of 7\/(-2)*(s + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 13 - 11. Let p = -2.09 + 2.03. What is the second biggest value in 5, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123903.9 millennia in centuries?\nAnswer: 1239039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125897.\nAnswer: 125897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwkgwwnnwxnfgxwwxwn. What is prob of picking 1 k, 2 g, and 1 x?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 = -49*p + 808. What is the third smallest value in p, -2\/7, -0.1, 2, 18\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6588*h - 6580*h + 48 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -55. Let q(a) = -a**2 + 7*a + 10. Let s be q(t). Suppose 3*m + 5*u = 25 - 5, -s*m + 24 = -2*u. Calculate the remainder when 58 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 816 * 3416\nAnswer: 2787456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -364, -533?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14 - 5*p - 11 - 6 + 2*p**2. Let g(x) = x**2 - x - 1. Let w(d) = -12*g(d) + 4*t(d). Find the second derivative of w(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -34*g - 15. Let c(a) = 12*a - 1. Let i(z) = -b(z) - 3*c(z). Give i(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1047*b**5*c**3 + 10*b**5*c + 49662*b**2*c**3 wrt b?\nAnswer: 62820*b**2*c**3 + 600*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 - 10*w - 4. Let i be t(-4). Suppose -20*s = -22*s + i. What is the greatest common divisor of s and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2029746, 8117052, 18262556, 32466252, 50728134?\nAnswer: 73048196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 950, 1881, 2812, 3743, 4674?\n\"Answer: 931*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 656487 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 60, 196, 438, 816, 1360?\n\"Answer: 5*x**3 + 8*x**2 + x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**7\/504 - j**6\/48 - j**5\/10 - 5*j**2. Let p(z) be the third derivative of x(z). Is p(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - (-100)\/45. Suppose -4*c - 57 + 63 = 5*w, 5*c - 3 = -4*w. Solve -2*z + w*o = 6, z = -z + o - h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Suppose 12*q = -26*q + 76. Let t(s) be the third derivative of 0*s**3 + 6*s**q + 0 + 0*s - 1\/8*s**4. Determine t(z(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 288*x + 9*x**2 + 4 - 245*x - 5 in the form y*x + t + f*x**2 and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -3 - 0 - (3 + -793). Let n = h + -523. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (-28 - -18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s**3 + s**2 - s**2)*(-1 - 5 + 5) - 181354*s**2 + 181354*s**2 + 78*s**3)*(2 + 3 - 3).\nAnswer: 154*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/15)\/a*a)\/a*a**(3\/2)*a*(a**3\/a)\/a*a**(-1\/7) assuming a is positive.\nAnswer: a**(733\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 89, 126, 149, 152?\n\"Answer: -b**3 + 2*b**2 + 46*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5720*-5.2\nAnswer: -29744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6357 is divided by 84.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4841.938 + 4842. Let g = -0.301 + 0.139. Let n = g + k. Which is the smallest value? (a) -5 (b) -0.2 (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 1. Let q(w) = -w - 3. Let b(x) = -2*o(x) - q(x). Suppose u + 4 = -0*u. Determine b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 137170*b**2 - 91 + 175.\nAnswer: 137170*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1362\/7 - 194. Suppose 3*j - j - r - 970 = 0, 0 = 4*j - r - 1944. Let w = -10225\/21 + j. Sort y, -0.5, w in decreasing order.\nAnswer: y, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26522231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67030 and 12620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14431 = -k + 38736. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 41. Let j(f) = -f**2 - f. Let d be j(0). Suppose 5*o + 0*o - b = d. What is the highest common divisor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*s + 97 + 135, 106 = 2*p - 4*s. Suppose 22 - p = -5*b. Suppose b*w - 175 = 2*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.543 not equal to 30848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 2.02. Let w = -0.0712 - 0.4288. Put 0.4, w, g, 0.6 in descending order.\nAnswer: 0.6, 0.4, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11)\/(-2) + (-30)\/20 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.205512 + 843023.\nAnswer: 843022.794488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 + 9*l + 6. Let r be z(7). Let y = -19 + r. Does 19 divide y - (-33 - (-16)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -404, -389, -350, -275, -152, 31, 286?\n\"Answer: 2*b**3 + b - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*r**2*y**2 + 13*r**2*y + 8*r**2 + 16*r*y**2 + 2*r*y + 5*y**2 + 4*y - 4 wrt y?\nAnswer: -56*r**2 + 32*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose 0 = l*c + 3*c. Suppose c = -4*j, -4*v + 3*v + 5*j = -14. What is the lowest common multiple of v and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**2 + 0 + 0*g**3 + 47*g + 1\/12*g**4. Let s(p) = 2 + 0 - 2 - 2*p. Calculate n(s(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -84. Let t = c - 29. Suppose -1 = -i + t. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhblffhhfihbhhflff. Give prob of picking 2 l and 1 i.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8150 divided by 1630?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -14 in ascending order.\nAnswer: -14, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 3569 = -4025. Calculate the remainder when 695 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19919\/5 or 3984?\nAnswer: 3984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*j = -57*j - 8820. Is j a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)*h**(-17)\/h)\/(h**13\/(h*h**(-2\/15))) assuming h is positive.\nAnswer: h**(-617\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -16764 and -16762 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-77*(8 + -6))\/(-2) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -400.6609 - -400.8. What is o rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 52 = 6*u. Let n = -323\/12 + 57\/4. Find the common denominator of ((-330)\/(-27))\/((-12)\/u) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) - (1*sqrt(19) + 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95994025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5055\/(-360) + 4 - (-1 - 4) and 86\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -262.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 2293890\nAnswer: 688167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -10. What is the nearest to d in -1, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 1. What is b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-6))\/((-6)\/45). Suppose 86 = 2*o + f, 5*f - 5 + w = 0. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*h, 6*t - 3*h + 1 = 5*t. Suppose -76 = -2*y + 5*d, 50 = 3*y - t*d - 53. Calculate the smallest common multiple of 93 and y.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from qecyryvvrvyree.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2. Let v(k) = 8*k - 6. Determine l(v(a)).\nAnswer: 128*a**2 - 192*a + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = 3, u + 2*x = 15. Let y(k) = 8*k - 19. Is y(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1076 from 1089.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -19*y. Let q(r) = -201*r**2. Give q(d(v)).\nAnswer: -72561*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 4992555\nAnswer: 1497766.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2. Let r(w) = 28 - 3*w**2 + 25 - 50. Calculate r(p(v)).\nAnswer: -12*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160565.6l to millilitres.\nAnswer: 160565600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16190, 32374, 48558, 64742, 80926?\n\"Answer: 16184*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -158, -6, 22, 0, 56 in ascending order.\nAnswer: -158, -6, 0, 1, 22, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24475344 divided by 2679?\nAnswer: 9136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363997 is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3102, 5892, 8674, 11442, 14190, 16912, 19602, 22254?\nAnswer: 24862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3560 is divided by 1533.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11930 is divided by 851.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlffw. What is prob of picking 2 w and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -7607*c**6\/120 - 5*c**5\/12 + 133*c**4\/24 + c**2 - 12*c + 3. Find the third derivative of w(j) wrt j.\nAnswer: -45642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flfllffffl. Give prob of sequence lf.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -1.403274.\nAnswer: 11.596726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyyu when four letters picked without replacement from zyyyyzyyuzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 14)*(-3*x**2 + 3*x**2 - 2*x**2)*((-1 + 0 + 0)*(-2 - 1 + 8) + (-4 + 5 + 0)*(0 + 1 + 0)) to the form u + p*x**2 + s*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 772402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 92 - 32. Solve 38 = -h*t + 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1764*z - 540*z - 8253*z + 2)*(-2*z - 2*z + 6*z).\nAnswer: -14058*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -21*p**2. Let g(t) = t**2 - 5*t. Let f(y) = -3*y**2 + 12*y. Let q(r) = 5*f(r) + 12*g(r). Calculate q(h(i)).\nAnswer: -1323*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 16796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 113. Which is smaller: d or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-4 - (3 + (-3 - -1))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 618?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*f - 54*f - 4*p + 36, 0 = -4*f - 2*p + 46. What is the remainder when 23 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12264*a*o - 18614*a - 26*o**2 + 4 wrt o?\nAnswer: -12264*a - 52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = n - 7*n. Sort 0, -4, n in increasing order.\nAnswer: -4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -0.3, 0.2.\nAnswer: -3, -0.3, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 (base 6) in base 13?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -153856, -153875, -153920, -154003, -154136?\n\"Answer: -2*r**3 - r**2 - 2*r - 153851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13975828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -9\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w - 1. Let m(l) = 2*l**2 + 13*l - 10. Let d be m(-7). Give j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 3, p: 3, g: 7, m: 2, a: 2}. What is prob of sequence pg?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/368 and 34\/11.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2755, 5621, 8485, 11347, 14207, 17065, 19921?\n\"Answer: -h**2 + 2869*h - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22372 and 2023?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -325710*w**3 - w**2 + w + 2 + 325708*w**3 + 18 + 11*w in the form g + p*w**2 + m*w**3 + q*w and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*b + y - 6, 4*y + 2 = b. Calculate the greatest common divisor of 363 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.29828005 rounded to 3 dps?\nAnswer: 12.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5216959*n**4 - 314*n**2 - 4274 wrt n.\nAnswer: 125207016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 - (-5 - (-7 - -80)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a centimeter in millimeters?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(99) - sqrt(99)*-1) + -5 - sqrt(99)) + 2 - (0 + (sqrt(99) - 6*3*sqrt(99))))**2.\nAnswer: -648*sqrt(11) + 64170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 2*b**2 + 3*b - 2. Let r be u(2). Sort 0, -13, r in descending order.\nAnswer: 0, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 4*j + 34. Let i be l(4). Suppose 0 = -b - 5*g + 61, i*b = -4*g + 102 - 10. Calculate the remainder when 215 is divided by b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13665 and 570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*g + 1 - 1)*(-1 + 1 + 2) + g + 0*g + 0*g)*(-2 - 2 + 3) to the form v*g + u and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 1 - (-1267 + 1259 + 9 + 0)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, 5, 2 in descending order.\nAnswer: 42, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -2\/9 (b) -8 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4.5. Let k = 269077\/224235 - -1\/44847. Which is the nearest to 0.1? (a) 3.9 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 + 5*h. Let s be f(-2). Factor 10*q**2 - 2*q + s*q**2 - 8*q**5 + 26*q**4 - 15*q**2 - 30*q**3 + 5*q**2.\nAnswer: -2*q*(q - 1)**3*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28040 - 12813. Does 29 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 4*c. Let r(y) = y - 16. Suppose d - 3 = 8. Let p be r(d). Let u be o(p). Put 3, 1, u in ascending order.\nAnswer: 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (10 - 3)) + -1 + (0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*f = -2, -3*f - 19 - 2 = -3*x. Suppose 2*v - x = -2*h - 3*h, -5*h - 5*v = -15. What is the units digit of 595\/20 + h\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173 + -71. Let t = -72 + c. Let h = t - 29.5. What is the second biggest value in h, -0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -22301*q - 89215. Determine o(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i - 1. Let w(m) = 3*m**3 + 6*m**2 + m - 6. Let l(b) = -20*s(b) + 5*w(b). Suppose l(f) = 0. Calculate f.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*d**4 + 2687530*d**3 + 21732361*d wrt d.\nAnswer: 312*d**2 + 16125180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1023 - 387. Let d = j - -101. Does 67 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -607\/17773 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -11492?\nAnswer: 1\/2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m**2 - 56*m**2 + 15*m**2 - 3*m**2 + 5*m**2 - m**2 - 2*m**2 - 2*m + 2*m + (3 + 2*m - 3)*(5 - 5 - 2*m) - 2*m**2 - 1 + 1.\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11000011 (base 2) to base 9\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/6, 1\/3, -0.00233237?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 724473054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 27*d = -47*d - 150 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.024 to zero dps.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12024 and 1101699?\nAnswer: 8813592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1615*z**3 - 3357*z**3 + 1756*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 5079.\nAnswer: -5586.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51661 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247716*n**5*s + 39*n**5 - 5975028*n + s wrt n.\nAnswer: -4954320*n**3*s + 780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-90))\/(-1*-4*3\/10)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(13)*-1*-6)**2 - (sqrt(13) - -6*sqrt(91)\/sqrt(7))).\nAnswer: -28*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3266 + -2149. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.350011ml to litres.\nAnswer: 0.006350011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 3. Let h(a) = -3*a - 9. What is the remainder when 22 is divided by h(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16058 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6\/f*f**(1\/22) assuming f is positive.\nAnswer: f**(111\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -119226, -2, -3, -0.43, 0.06?\nAnswer: -119226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520401205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b2 - -177935?\nAnswer: 177843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-195)\/(-45))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 39*t**2 - 44*t - 28. Let m be i(-18). Let k = -207 - m. Is k >= 2\/477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n + 843 + 1845 = -n. Calculate the least common multiple of 936 and n.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -24 + 41 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*y + 10, 5*y - 2 = 3*g - 0*y. Let m be (58\/g)\/(3\/9). Solve -5*l = -t + 5, 0*t + 5*t + m = -2*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {o: 6, z: 3, h: 3, k: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*w - 861*w + 286*w + 15*w**2 + 294*w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/20 - 2*l**4\/3 + l**3\/2 + l**2\/2 - 2*l. Let x be k(9). Let r = x - -82. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -20*h - 17. Suppose -4*a - 24 = -0. Let u(s) = 55*s - 22*s - 22*s - 18*s - 6. Give a*i(c) + 17*u(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*u**3 + 4*b**2*u**2 - 35*b**2*u + 13145*b**2 + 2*b*u**2 + 3*b*u + 6*u**3 + 23996*u wrt b?\nAnswer: 4*u**3 + 8*u**2 - 70*u + 26290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5 + 2 - 4*d - 6. Let k(u) = -u**2 - u. Calculate g(b) - 2*k(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1538834 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 389649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 19*g - 11. Let l be o(18). Suppose 0 = -l*p + 5*p + 18. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*l + 6 + 13, 2*v - 7 = -l. Let f = 14\/11 + -12\/11. Solve 4\/11*t**2 + 2\/11*t**v + f*t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/((-8)\/24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 432621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*3\/72*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6183092 divided by 3?\nAnswer: -6183092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426362 by -213181.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, o: 1, q: 1, r: 1}. What is prob of sequence mqy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 49 * 210839\nAnswer: 10331111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 400*c + 806*c - 406*c + 25*c**3.\nAnswer: 25*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 11. Suppose -n*q = -q - 16. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3944690, -3944695, -3944702, -3944711, -3944722?\n\"Answer: -p**2 - 2*p - 3944687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 2*t**3 - 3*t**3 + 0*t**3 + 0*t**3 - 4*t**3 + (-4 + 2 + 0)*(2*t**3 - 3*t**3 + 0*t**3) + 294*t - 19*t**3 - 294*t.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746277408.\nAnswer: 2, 3, 41, 21067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxblobonlxxbblbbbnl. Give prob of sequence bxn.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58928854 - -58928907.000031. Let j = 62 + -115. Let o = g + j. What is o rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 1 = 13*d, 4*w + 5*d = 33. Let i(z) = -14. Let a(x) = -x**3 + 42. Give w*i(o) + 2*a(o).\nAnswer: -2*o**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 103*d**6\/30 - 67*d**4\/24 + d**3\/6 + 110*d**2 + 5. Find the second derivative of q(c) wrt c.\nAnswer: 2472*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31\/4, 1\/2, 22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 7}. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57\/68 + 997\/1088. Let q = 183\/704 - l. Factor -6\/11*s**2 + q*s**3 + 8\/11 + 0*s.\nAnswer: 2*(s - 2)**2*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 2*x + 7. Let b be w(-5). Let v be b\/(-16) + (-79)\/(-2). Find the common denominator of 9\/10 and 1\/1*(-4)\/v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1001001?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) 1\/17 (c) -1\/9 (d) 2\/787 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/24, -9, 0.1, 666?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -332600 * 11.\nAnswer: -3658600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbf when four letters picked without replacement from {k: 1, b: 3, f: 1, m: 5}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u + 3. Let o(b) = b. Let i(t) = -24*o(t) - 3*s(t). Give i(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -33. Let t(z) = 3*z**2 + 4*z - 6. Let d be t(b). What are the prime factors of -2 - -3 - (0 + -2 - d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420*(3 - (-25)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/14)\/(-2)*7. Let b = 203 - n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*a**2*r*t**2 - 104*a**2*r + 3703*a**2*t**3 - 3*a*r*t**2 - a*r*t + 6*a*t**2 - 2*r*t**5 + 13*r*t**3 wrt t?\nAnswer: 22218*a**2 - 120*r*t**2 + 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -210 + 212. Let x(y) be the first derivative of 6 + o*y**2 + 3*y + 1\/3*y**3. What is x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.28 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22882589*p**2*t + 7*p**2 + 96*p*t - p - 2*t - 66635 wrt p.\nAnswer: -45765178*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 294, 190, 36, -162, -398, -666, -960?\n\"Answer: b**3 - 31*b**2 - 18*b + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*5*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 13*m**2 + 20*m - 15. Suppose 0 = -39*c + 23*c - 176. What is the remainder when 44 is divided by d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 0, -1\/6, -0.4, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let h be q(3). Let r be 1 + -1*h - -5. Suppose r*n + 2 = 4*n. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g**3 - 7*g**2 - 11*g + 23. Let p(r) = -4*r**3 + 2*r**2 + 4*r - 8. Let z(b) = 3*d(b) + 8*p(b). What is z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 77 and -48.437.\nAnswer: 28.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -221221, -221238, -221255?\n\"Answer: -17*l - 221204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*-1*sqrt(1300)*4)**2)*4.\nAnswer: 748804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*r + 2 - 24, r - g = 11. Suppose -3*s - 4 + r = p, 4*s + 4*p = -4. Let x(h) = 24*h**2 + 6*h - 11. Is x(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 2*l - 3*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 6*o**5 + o + (5*o + 4*o - 6*o)*(0*o + o**4 + 0*o).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9120630 to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -20. Let l = 108 - 19. Suppose 0 = 2*s + 2*x - 86, v*s - 5*x = 4*s + l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 + (3 - 13) + 11 + -6 - -33\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 6*d - 6. Let i be k(7). Is i\/(-6) - 139\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a factor of 5356568385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/72*466\/(-2097).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 190, 178, 146, 82, -26, -190?\n\"Answer: -2*g**3 + 2*g**2 - 4*g + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -574803 + -1454580. Let j = -12870617 + p. Round j to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 2*n**4 + 2*n)*(28 - 91 - 13)*(-7 + 4 - 3) + 0 + 0 - n**4 in the form i*n**4 + q*n**2 + f + j*n + l*n**3 and give i.\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-6)\/18). Suppose 0 = -5*z + 3*z. Put z, n, 5 in descending order.\nAnswer: 5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 6*q**3 + 5*q**3 + 23*q**3 - 19*q**3 - 13*q**3.\nAnswer: 2*q**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*q. Let c(x) be the first derivative of x**2 + 3 - 1\/3*x**3 - q*x. Calculate c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 68789, 137583, 206379, 275177, 343977, 412779, 481583?\n\"Answer: b**2 + 68791*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, 11, 33, 73, 137, 231?\n\"Answer: k**3 + 3*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 3 + 0 - 3 + 2*r - 3*r**2 as o + n*r + y*r**4 + m*r**2 + u*r**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850241 and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6243188 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*q**2 + 3*q**4 - 18*q**2 + (-q**2 - 2 + 2)*(-q + 2*q**2 + q).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19125*h + 12*h**3 + 1 + 96*h**3 + 19125*h.\nAnswer: 108*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -462.7 - -568. Let o = 105 - g. What is the closest to 0.1 in o, 1\/4, -1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/22*(-1056)\/(-128).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/112 and 79\/48272?\nAnswer: 48272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**2 + 6*p**2 + 7*p**2 - 15*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 322.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 24*v + 430. Give u(35).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, -1502, -3, -4, 2, 5 in decreasing order.\nAnswer: 5, 2, -3, -4, -102, -1502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 21, -11, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -15. Let k = 41 - v. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 1 + 1 - 4*f. Let g be c(-6). Suppose u = -0*u + 4*l - 16, 5*u = 2*l - g. Solve 7*p - 2*p + 5 = u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 4. Let k = i - -71.1. Let a = 124\/45 + -38\/15. Is a bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 15. Suppose 4*x = -12, -35 = -4*s + 34*x - 29*x. What is the greatest common divisor of c and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, -1039, -2186, -3329, -4468, -5603, -6734?\nAnswer: -7861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -1797774+0.300603\nAnswer: -1797773.699397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.02 + 0.02. Let h = -1 - c. Which is greater: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -45\/22, -2, 134, 2, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9691816 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 + -114.7. What is the smallest value in z, 1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*p + 25, 3*p - 20 = w + 15. Let l = 44277 + -44262. Solve 0 = m - 4*x - 1 - p, -m - l = 5*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337\/4*c**2 + 39\/2*c**4 - 55\/4 - 9\/8*c**5 - 23\/8*c - 86*c**3 = 0.\nAnswer: -1\/3, 2\/3, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaakakkjaajjajjakj. What is prob of picking 2 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -2\/15 (b) -2\/9 (c) -88924\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 5308 = 0. Let w = -165454 - -651121\/4. Let c = w + z. Find the common denominator of -127\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*r**4\/5 + 37576*r**3\/5 + 3591176*r**2\/5 - 2061312*r\/5 + 294912\/5 = 0. Calculate r.\nAnswer: -192, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2. Let s be r(-1). Let d = -16 - -10. Let a be (2\/s)\/(4\/d). Is a smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-40)*4)\/(9\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10137, -17824, -25509, -33192, -40873, -48552, -56229?\n\"Answer: t**2 - 7690*t - 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136520 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: Divide 14 by 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16718, 16710, 16698, 16682, 16662, 16638, 16610?\n\"Answer: -2*b**2 - 2*b + 16722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707549 is divided by 37238.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 - 3*p**4\/2 + 7*p**3\/2 + 61*p**2\/2 - 2*p - 1. What is the hundreds digit of j(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/10 + l**4\/12 + l**3\/6 - l + 10. Suppose -2 - 2 = 4*p. Calculate u(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:06 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + -2 + -3 + sqrt(252) + sqrt(252) + 1*(sqrt(252) + sqrt(252)*-4 - sqrt(252)))**2.\nAnswer: 120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1798, 3602, 5406, 7210, 9014, 10818?\n\"Answer: 1804*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 22*q - 37. Suppose 37*m - 114 = 626. What is v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*d + 10 + 128*d + 126*d.\nAnswer: 2*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 223, 222, 221, 220, 219?\n\"Answer: -j + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011010212221 - -12?\nAnswer: 1011010220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 52 = -54. Suppose 4*b + 0*b - 4*y = 28, 0 = o*b - y - 16. Let f = 28 - b. Which is smaller: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/26*(-250)\/2625.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1965245\/6 or -327540?\nAnswer: -327540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-three fifths of a second?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 83*j - 77*j. Solve j*c + 5*b = 7*c + 26, 2*b - 20 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227 (base 8) in base 14?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -500717000 to the nearest one million.\nAnswer: -501000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670997.1 days to microseconds.\nAnswer: 57974149440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 3. Let o be h(9). Let d be -2 - 1\/((-2)\/o). Suppose -a = d*q - 25, -2*q = -3*a + q + 15. Calculate the remainder when 17 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -38. Let f = n - -134. Let s = f + -151.1. Round s to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 85*r - 56 + 32 + 13*r to z + m*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -266*u + 302*u + 468 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 0)*(-158)\/(-6). Let s = 137 + l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txxvtepptwtttt. What is prob of picking 3 t?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 81 and 0.05.\nAnswer: 81.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 618326831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(1386\/105)*(-6)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 2:41 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.9942 > 26\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6794 + -6793. What is the closest to t in -2, 0.2, 0.09?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2191929 and 10931.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 602 + -295. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.923 from -8.\nAnswer: -8.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -3.1801?\nAnswer: 8.1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 36265 = 50150. What are the prime factors of d?\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7*t + 7 = -8*t, 0 = t + 1 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -7 + -5 + (27 - 7) + -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -383 + -286402?\nAnswer: -286785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/(-944) - (-2)\/(-4))\/(-10*6\/60)?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1.544.\nAnswer: -1.544, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 227 (base 15) to base 3\nAnswer: 200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1779430529 + 0.4\nAnswer: 1779430529.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.436813 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 38*n - 8. Let o be f(1). Suppose -4*q - 6*q = -o. Solve -5*p = q*u - 6*u - 3, 4*p = 2*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, 4.7, 2 in decreasing order.\nAnswer: 4.7, 4, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 2*q**2 + 10*q**2 + (6*q - 5*q - 2*q)*(-2*q + 2*q - 2*q) - 1 + 1 - q**2 + q**2 - 5*q**2 + 11*q + 0*q as z*q**2 + d*q + v and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 6*a**2 + 9*a + 9. What is t(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -558379\/45 - -12409. Let d = u + -4\/9. Let v = 32\/3 + -31\/3. Sort 3, d, v.\nAnswer: d, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-3\/2))\/((y\/(y**(-1)\/y))\/y*y)*(y*y**2*y)**(-7\/11)*((y*y\/(y\/(y*y**(-10)*y))*y)\/(y\/(y\/y**1)))**34 assuming y is positive.\nAnswer: y**(-5347\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 47286 = 47289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -7, -0.1, -0.4, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m + 101. Let h be w(14). Let i(l) = l - 4. Let j be i(3). Let v(o) = o**2 - o - 1. Let u(s) = -1. What is h*u(t) + j*v(t)?\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024 - 6033 - (-37 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 212, 856, 1926, 3422, 5344, 7692, 10466?\n\"Answer: 213*h**2 + 5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -5 - -2)\/((-5)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**2 - 3*f**3 - 25*f**2 + 3*f**3 - 9*f**5 wrt f?\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98007638?\nAnswer: 2, 49003819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-7)*(-14)\/15*6840\/(-608)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14982 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose 54 = -38*i + 47*i. What is the smallest common multiple of (2\/s)\/(i\/132) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + d**2 - 16*d + 14. Calculate t(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(sqrt(78) - 1*((2*sqrt(78) - sqrt(78) - sqrt(78)) + sqrt(78))))\/((sqrt(150) + (-1*sqrt(150) - sqrt(150)))*-4 - 2*sqrt(150)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**8\/2520 + s**7\/1680 + s**6\/360 - s**5\/20 + s**2. Let r(v) be the third derivative of q(v). Is r(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 387380*d - 7503163220.\nAnswer: -5*(d + 38738)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*i*w**3 + 949*i*w*x - 181*i*w + 2*i*x + 1463*i - 82*x + 107 with respect to w.\nAnswer: -138*i*w**2 + 949*i*x - 181*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -40 + 1 + (-1)\/1. Let z be (32\/n)\/((-2)\/35). Is 14 a factor of 8\/(-56) + 940\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/27 - (-212)\/(-3). Let s = -64 - q. Let y(v) be the third derivative of -v**4\/24 + 7*v**3\/6 - v**2. Give y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -2, -2, 0, 4?\n\"Answer: q**2 - 5*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171939877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -48\/49?\nAnswer: -48\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39216 - 0.20516. Which is the second biggest value? (a) -37 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-39) - 3\/2) + 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + m**4 + 0*m**4)*(2 - 7 + 0) - 22*m**4 - 2*m**4 - 60*m**4.\nAnswer: -94*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -91*w - 71 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4040 and 5320?\nAnswer: 537320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 8\/6)*-3. Suppose 2*j - 2 = m, -2*j = 3*m - q - 8. Let y(n) = -29*n - 1. Let c be y(-1). Solve -3*v + 2*v - 4 = a, 5*v = j*a - c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 19*h**2 + 21*h + 23. Let q be u(-20). Let l(b) = -7*b**2 - 5*b - 3. Let f(p) = 4*p**2 + 3*p + 2. What is q*l(x) + 5*f(x)?\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 9019 - 4697. Let t = l - 58313\/17. Let b = t - -1216\/51. What is the common denominator of b and -52\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5240 or -5242?\nAnswer: -5242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.309 + -45.309. Let r = 117\/635 - -2\/127. Which is the biggest value? (a) 0 (b) r (c) z (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 + 3. Let l(i) = -55*i + 2706. What is the lowest common multiple of l(49) and m(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 8:51 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3935 by -5.\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = 2*p. Suppose -h + 4*h - 9 = 0. Suppose 0 = -5*g + 20, -h*w - 2*g = -w - 28. Solve 0 = -0*f - f - 2*o - w, f = -p*o - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42513 (base 8) to base 2.\nAnswer: 100010101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljplfjjpjljllpr. What is prob of picking 1 j and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 84\/45 + 30 + -30. Which is the closest to 2? (a) 3 (b) -5 (c) y (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -706028 - -38128027\/54. Let g be -2*((-1876)\/378 + 1*5). Let o = g + z. Find the common denominator of -111\/10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3087948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**3 + 41*v**3 + 32*v**3 + (-4 + 3 + 2)*(0*v**3 - 4*v**3 + 8*v**3).\nAnswer: 71*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18547 (base 10) in base 13?\nAnswer: -8599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 3 + 2*o + 5*o - 4*o. Let x(f) = f - 1. Let z(t) = -t**2 + 2*t + 34. Let q be z(-5). Determine q*l(s) + 3*x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199984 is divided by 692?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/60)\/((-184)\/20)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(175) + sqrt(175) + sqrt(175) + -1 + sqrt(175) + 3 + ((sqrt(175) + 0 - sqrt(175)) + 5)**2 + sqrt(175)).\nAnswer: -75*sqrt(7) - 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, 160, 13 in increasing order.\nAnswer: -38, 5, 13, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058181201 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**2 - 2*g - 8. What is u(-2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -377 + 381. Suppose -i = q - 7, 3*q - 4*i = -q + 12. Suppose -q*s + v*w = -3123, 2174 = 5*s - w - 943. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3899903 * -0.09\nAnswer: -350991.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 904401, 1808797, 2713193, 3617589, 4521985, 5426381?\n\"Answer: 904396*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5 + 2*v**4 + 24*v**3 + 8*v**2 - 32*v = 0?\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 635706613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 2541, 0 in descending order.\nAnswer: 2541, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*h = h - 6, -12 = 2*b - 4*h. Let a = 9 + b. Suppose -5*r - 13 = -2*n + 3*n, 5*n - 5*r = 55. What is the remainder when a is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/13)\/((-9)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -117, -267, -419, -573, -729, -887?\n\"Answer: -c**2 - 147*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -274.3.\nAnswer: -356.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/6014 and 83\/1364.\nAnswer: 132308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**3 - 2*z**2 - z + 1. What is the remainder when n(2) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-10) - (3\/3)\/(-5). Solve y*n - 5*c = -0*n - 4, -5*n - 3*c = -21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -2*81\/(-6). Solve 2*g = -8, 4*k - 5*g + g - b = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -540018\/2285 - -1395660807\/5493140. Let p = k + 5\/601. What is the common denominator of -38\/45 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 226259.\nAnswer: -3393885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 + 2*x**2)*(3*x**2 + 2*x**2 - 4*x**2 + (0*x + 2*x + 0*x)*(27*x + 80*x - 63*x)).\nAnswer: 89*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*f**4 - 3*f**3 + 22*f + 3 wrt f.\nAnswer: 1428*f**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27672 by -6.\nAnswer: -4612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + a**3 + 4*a**3 + 4*a**3 + 3*a**3 - 2*a**3 + (0*a + 0*a + a)*(a - a + a)*(576 - 576 + 28*a).\nAnswer: 35*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let f = 7.9 + -2.9. What is the second biggest value in f, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -6. Suppose -74*r = -77*r + 12. Suppose a + 0*a = r. What is the remainder when b is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-9)*(-4140)\/(-17710).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1391 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, 0.2, -14, -2\/3, -70, -0.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17444 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48 + 48 + 61*g)*(3 - 4 - 1)*((1 + 2 - 5)*(0*g + 0*g - 2*g) - g - 1 - g + 0*g) as r + y*g + b*g**2 and give b.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3.49, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 7) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {q: 2, s: 1, h: 2, v: 1, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 - 7057.\nAnswer: -7057.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 160 - 48. Suppose u + 0*c + 3*c - 12 = 0, 3*u + 5*c = x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 6*c - 8. Let n be t(-7). Calculate the least common multiple of (-18)\/n*(-20)\/(-3) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 3*o**2 - o + 2. Calculate g(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39265 divided by -7853.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 598775561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 + (-188)\/(-20). Let l(t) = -t**3 + 9*t**2 + 2*t - 1. Calculate the remainder when l(z) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:42 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474 - 466 + 29246*y + 940.\nAnswer: 29246*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4\/3 - 13180*j**3\/3 + 9940952*j**2\/3 + 1516752880*j\/3 + 13184828448 = 0.\nAnswer: -99, -34, 1714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**5))\/(j*j**(6\/7)*j))\/(j**10*j*j\/(j\/(j**(4\/17)*j))))**3 assuming j is positive.\nAnswer: j**(-7173\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.064 - 0.136. What is the nearest to -5 in -3\/5, 4, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -934 - -933. Which is smaller: 36 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66*7093\nAnswer: 468138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from fvbsbbsbskfkkbbk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 21145192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/24*72\/40.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (28\/3)\/(236\/(-354))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i - 17*i - 4*i)*(-2 + 3 + 3) + (1 + 0 - 3)*(i + 2*i - 2*i) + 0 + 0 + i.\nAnswer: -121*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5, 3\/4, 2\/9, -4, 1.10239?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4440 or -35525\/8?\nAnswer: -4440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-9)\/(-6)) + 99\/2. Let y = t + -48. Suppose 2*h + 3*h = 10. Solve 15 = -m - h*l, y = 3*m + 2*l + 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188858 and 534?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {a: 8, b: 4, r: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/6 + 3*(-2)\/9. Find the second derivative of 6*m**o - 9*m**2 - 13*m**2 - 27*m wrt m.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(882) + sqrt(882))\/sqrt(9)*6.\nAnswer: 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {g: 2, y: 1, q: 1, m: 3, u: 1, s: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 875 (b) 0.1 (c) -0.4 (d) 5 (e) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 653448900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b - 22. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 2*o + 0*o)*(-3 + 5 - 1) + 4*o + 2 - 2 - 10*o + 7*o + 22*o as z + b*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7217 divided by 19\nAnswer: -7217\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 3.8351.\nAnswer: 3.7351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/245 (b) -2\/9 (c) -328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 5. Suppose x*q + 359 = q. Is 10\/(-15) - q\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-7)\/((-21)\/(-3594))*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(-1)*h*h)\/h)**(-21)*h**5\/h**5)\/((h*h\/(h*h*h\/((h*(h\/h**(-5))\/h*h)\/h*h)))\/h**(-2))**(14\/3) assuming h is positive.\nAnswer: h**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*j**3*o**3 + 6*j**3*o**2 - 2*j**2*o**3 + 13*j**2*o - 19*o**3 wrt j?\nAnswer: -528*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46273\/612 - 683\/9. Calculate the common denominator of -23\/6 and i.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24154076 by -1.\nAnswer: -24154076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfm when three letters picked without replacement from himimmifijhi?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1 + 3 - 2 - 9*j. Let n = -25 - -14. Let t(h) = 8*h**2 + 6*h - 6. Let a(p) = -15*p**2 - 11*p + 11. Let g(k) = n*t(k) - 6*a(k). Calculate g(l(y)).\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from firyyhfmrrrh. Give prob of sequence yfr.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16053375 and 4810.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:28 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/7 + g**3\/7 - 2*g**2\/7 = 0 for g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*c**2 - 2*c**2 + 14*c**6 - 5*c**2 wrt c.\nAnswer: 1680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038890969 rounded to seven dps?\nAnswer: 0.0003889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 414 = -24*s - 77 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221222211 (base 3) to base 12.\nAnswer: -48641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(52) + 5.\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -f + 18, -3*f - 3 = -2*s - 6*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 6, l: 1, d: 3, e: 1}. Give prob of picking 2 w and 1 e.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -319*b**6 - 4*b**5 - 5*b**4 + 709*b**2 - 27.\nAnswer: -38280*b**3 - 240*b**2 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 6*m + m = -7, m - 13 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393752569?\nAnswer: 11, 4211, 30089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c. Suppose 4*z + c = -8. Let t(u) = -2*u + 5. Let g be t(4). Sort g, 4, z in increasing order.\nAnswer: g, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -12 (b) 11 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 28896?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-144)\/(-450))\/((-24)\/(-30)))\/((-4)\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k + 0*k**3 - 3*k**2 + 1\/24*k**4 + 0. Let a(r) = 2*r. What is t(a(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/(-21)*((-5486)\/182 + 18)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2367740 is divided by 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(117\/126) - 9. Solve 3*a + 0*a = -6, -10 = 4*u + y*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343104100 is divided by 937.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1324, -1344, -1364, -1384?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(24\/1296) - ((-1400)\/(-4))\/7?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -n + 2*w + 16175, 0 = n - 3*w - 16190. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((1 - 17) + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 3)*9\/(-15). Find the first derivative of 2*g + m*g + 3 - 79*g**2 - 5 + 31 - 4*g wrt g.\nAnswer: -158*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 + j**2)*(4 + 1 + 0) - j + j + 3*j**2 + (-1 + 2 - 3)*(0*j + 0*j - 3*j)*(4 + j - 4).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2109056 or 14763394\/7?\nAnswer: 14763394\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 2*z + 2. Let j be p(-3). Suppose 0 = q - 6*q + 20. Solve -3*c - q*t = -16 - 5, -9 = -j*c + 2*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, 1 d, and 1 r when four letters picked without replacement from {d: 2, h: 1, p: 2, r: 2, c: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -396375\nAnswer: 6738375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2025723 divided by 289389\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18163, 13273, 5131, -6257, -20885?\nAnswer: -38747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + d)*(0 + 2 - 3) + 424*d + 206*d - 8 + 8 to m + z*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*i - 23 = x, 0 = -5*i + 25. Suppose -5*u - 88 = -4*r, -22 = -x*r + 3*u + 24. What is the remainder when 50 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 4. Suppose -5*z = 5*y - 105, -3*y + 16 = d*z - 55. Suppose -2*s + 87 = 23. Calculate the remainder when s is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/16 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 0.92, -4, 0.11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-6)\/(-20))\/((-3)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 4881.\nAnswer: 4881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1630*h. Let t(n) = n**2 + n**2 + 538909 - 538909. Determine t(p(b)).\nAnswer: 5313800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 19*d + 16 = 0. Let o(g) = -5*g + 4*g**2 + d*g - 7*g. Let h(v) = -v**2 + 3*v. Calculate 8*h(t) + 3*o(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 52. Suppose 758 = f*m - 5*a, -4*m = 3*a + 289 - 1805. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-4))\/w**(4\/3)*(w*w\/(w\/(w\/(w\/(((w*((w*w\/(w*w**(-1\/3))*w)\/w)\/w*w)\/w)\/w)*w))))**38)**(-4\/15) assuming w is positive.\nAnswer: w**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98242.\nAnswer: 2, 49121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - g**2 + 3*g - 2. Let k(v) be the second derivative of v**4\/12 - v**3\/6 + v**2\/2 - 39*v. Let h(c) = 3*k(c) + s(c). Give h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 6*i**3 + 3*i**3 + (-i**3 + 0*i + 0*i)*(-36 + 27 + 23 + (2 - 1 + 1)*(2 + 0 - 3)) to j*i + f*i**2 + h*i**3 + w and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5819 - -3749. Round h to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Suppose v = -3*v + 8. Suppose 2 + v = -4*u. Which is the nearest to 0? (a) -5 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17777 and 25662019?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154656 and 1535999.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 1437*q - 1442*q + 7, 3*q - 5*u = 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -11 - (7 - -6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 154201 or -0.61?\nAnswer: 154201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (-4 + 4)\/4 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + (-6 - -3) + 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*u = 8*u - 1115, -m = 4*u - 283. Suppose 0 = 5*d - p - 33 + 906, 694 = -4*d + 3*p. Let l = m + d. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 216*i + 4586. Let o(r) = -6*r - 5. Calculate the lowest common multiple of y(-79) and o(-5).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:00 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 2*y**2 - 2*y**2 + (-2 - y + 2)*(2*y + y - 2*y) + (0*y + 3*y + 0*y)*(-7*y + 84*y - 17*y).\nAnswer: 181*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 275\/816 + -1\/272. Factor -v*k**3 + 0 - 4\/3*k**2 - 4\/3*k.\nAnswer: -k*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*l**3 + 0*l**4 + 6*l**4 + 32*l**3)*(-2 + 2 + 6)*(0 - 1 + 4) to the form i*l**4 + a*l**3 + y*l**2 + b*l + m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 12. Let m = -4 + j. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a**5\/5 + 469209*a**4\/5 - 804411*a**3\/5 + 201111*a**2\/5 + 26814*a = 0 for a.\nAnswer: -22345, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 315886664 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 104 = 103. Suppose a = -5*q + 15, 0*q + n = 4*q + 3*a. Solve -i + q = 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -793da?\nAnswer: 793d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 704, 1409, 2114, 2819, 3524, 4229?\nAnswer: 4934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from swwsssswws.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.008, -308, 8, -0.1, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4462, -8902, -13340, -17776?\nAnswer: -22210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 9*h + 11*h - 592125 = 0. What is h rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -5)*-4 + 0. Solve 0 = j - 4*t - 16 + 4, v*t = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17546, -139445, -470072, -1113791, -2174966, -3757961, -5967140, -8906867?\n\"Answer: -17394*f**3 - 141*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 20*w + 2*w**2 - 67*w.\nAnswer: 2*w**2 - 47*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10928*x - 1857752. Calculate f(170).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 14*k**2 + 18*k + 27. Let u be f(-15). Which is the second biggest value? (a) 0.02 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*3)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 74 + 7*u**2 - 227 + 72.\nAnswer: 7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) 0.03 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -35*u + 2139. Calculate the lowest common multiple of 318 and y(61).\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 37 + -66 - -51.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -69. Suppose 3*k + 2*j + 58 = 0, 0 = -3*k - j - 17 - 45. Let l = k - i. Calculate the greatest common factor of 126 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255150989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2281 + 2462.1. Let m = -181 + g. Which is the closest to 0.1? (a) -6 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 2205*y**3 + 13 - 38 + 1113*y**3 + 1090*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -5*w - v, -4*w = -4*v - 62 - 146. Solve 10*p + w = 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1)*-1*16\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from qqqqddqdqqqdqqdqqq?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10238 and 21\/2.\nAnswer: 10238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from jjjmmljlllljll?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 5*p + 8. Give m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:24 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*x + 5*l, -4*x - 3*l - 31 = -143. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6518, 5945, 4994, 3659, 1934, -187, -2710?\nAnswer: -5641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 5, 4, 135, -26 in descending order.\nAnswer: 135, 5, 4, -6\/13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752817*-0.09.\nAnswer: -67753.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a week in hours?\nAnswer: 483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 65.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/75)\/((-45)\/100*4\/3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 141 - 80. Let y(j) = -j**2 + 19*j - 4. Let z be y(v). Find the third derivative of 434*n - z*n**2 - 434*n - 18*n**4 wrt n.\nAnswer: -432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.5336 litres to millilitres.\nAnswer: 285533.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**5 - 2115*f**4 - f**3 + 5701*f**2 + f wrt f?\nAnswer: 240*f**2 - 50760*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:30 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 + -121?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527221 (base 9) to base 16.\nAnswer: 4c933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -494, -1115, -1984?\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*f + 1 - 3, 0 = 4*d - 5*f - 34. Suppose 0 = -4*o + 4*g - 136, o + 3 = 2*g - 30. Let y = d - o. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.8 in -0.4, 0, 2, 2\/3599?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/50 and 64\/275.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1732, 3613, 5628, 7777, 10060, 12477, 15028?\nAnswer: 17713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011276193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*u - 14 = 0, -2*o - 5*u = 1 - 14. Is o equal to 1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*w + 20 - 26 + 13 - 28*w - 396*w**2 to the form a + r*w**2 + f*w and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**5*j**2 - 5*h**4*j**3 + 198*h*j**3 + h*j wrt h.\nAnswer: -80*h**3*j**2 - 60*h**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.001.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2736) - (sqrt(2736) - -2*sqrt(2736)))*-2 + (sqrt(2736) + sqrt(2736) + sqrt(2736)*-1*4 + sqrt(2736) + sqrt(2736) + -2 + 4)**2 + 3.\nAnswer: -48*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159*u*x*y**2 + u*y**2 + u*y + 2*x*y**2 + 17*y**2 wrt x.\nAnswer: 159*u*y**2 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323079.\nAnswer: 3, 107693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*z + 17667 = 4137. Let f be (-2 - (-1 + 0)) + 7. Suppose -f*d = -2*d - 12. Calculate the smallest common multiple of d and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*v - 220, 3 + 9 = -3*v. Let z = 1026 + -943. Suppose -z + 125 = 14*r. Calculate the least common multiple of a and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 498590 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/10 + 19\/(-1). Let o be 10\/x*6 + 11. What is the third derivative of 20*p**5 - 7*p**2 - o*p**5 - p**2 wrt p?\nAnswer: 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**4 - 888*f**3 - 1160*f**2 - 384*f.\nAnswer: -2*f*(f + 48)*(3*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 + 103 = -11*x. Let n(y) = -2*y - 122. Let f be n(x). Is f at most -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -10\/2193157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317381 to the power of 1\/2, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014 + 10?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119994*a**2*r**2*y**2 + 2*a**2*r**2*y - 6163*a*r*y**2 - 4*r**2 - 2*r*y**2 wrt a.\nAnswer: -239988*r**2*y**2 + 4*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 3:07 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/6)*o**(-3\/4)*o)\/((((o\/o**(2\/11)*o)\/o)\/o)\/(o\/(o\/(o\/o**(1\/16))))))**(12\/13))**(-27) assuming o is positive.\nAnswer: o**(-2781\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-6)*(2 - 0). Solve 8*s - 29 = -2*t + 3*s, s = -l*t + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**3 - 3*d**2 + 2*d + 1. Suppose -7*c = -11*c + 44. Suppose -9 + c = r. Let k be q(r). Solve -7*u + 2*u + k = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001195932 to 5 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323\/5 - (-12)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let x(p) = 2*p. Let o(j) = -3*g(j) + x(j). Let r(n) = 8*n**2 - 8*n**2 - 4*n**2. Give o(r(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243745651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -379*s**5\/20 - s**4\/8 + 137*s**3\/2 + s**2 - 2*s + 902. What is the first derivative of u(j) wrt j?\nAnswer: -2274*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 300\/147)*-7. Let z = 29\/4 - 195\/28. Factor -2\/7*l - z*l**2 + 2\/7 + i*l**3.\nAnswer: 2*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*-4*2. Suppose a + 4*s = -a + c, 5*a + 2*s = 26. Suppose -5*g + 21 = a. Sort 0, g, -4.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l + 2. Let u be f(3). Let m be (-1 - 771\/(-77))\/(u\/(-20)). Let d = m - 192\/11. What is the third biggest value in d, -4\/3, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/120 - h**5\/60 + 7*h**3\/2 - 9*h**2. Let i(y) = 6*y - 192. Let s be i(32). Calculate t(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 85 = -3*q + 2*q, -2*i + 11 = 5*q. Let t be 33\/27 + (-4)\/i. Let l be t\/3*(-11 - -11). Which is bigger: -2\/13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let q(z) = 18*z - 3. Let d(n) = 71*n - 13. Let c(t) = -6*d(t) + 26*q(t). Determine p(c(m)).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -3, -0.012, 99\/2?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Suppose 14*v - 12*v - 32 = y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1587430 divided by -45?\nAnswer: 317486\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m + 3*m - 4*m)*(-2 + 1 + 0) + 6*m + 0*m - m)*(m**2 + 9*m**2 + 0*m**2)*(-2*m + 0*m + 4*m).\nAnswer: 60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/117749 or -1?\nAnswer: 2\/117749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at most -461\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*6*(-10)\/36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1106 and 224?\nAnswer: 17696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in 0.5, -1\/125, -317.4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(300)*-1*-3 - sqrt(300)) - (-1 + (sqrt(300) - (sqrt(300) + 0 + sqrt(300) + sqrt(300))*-3)))**2.\nAnswer: -640*sqrt(3) + 19216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18993, -38190, -57387, -76584, -95781?\nAnswer: -114978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 18*s**2 + 12. Let i be (-4)\/22 + (1080\/132 - -4). Let n(j) = 1. Calculate i*n(d) - r(d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 x, and 1 w when four letters picked without replacement from {r: 7, w: 11, x: 2}?\nAnswer: 77\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21365341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 949317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 155198, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9*w + 14 = 0. Let a(l) = -17*l**2 + l**3 + 3*l + 0*l**w + 5*l**2 + 3 + 8*l**2. What is a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 757, 38, 372.\nAnswer: 5, 38, 372, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40, 123, 258, 439, 660, 915, 1198, 1503?\n\"Answer: -s**3 + 32*s**2 - 6*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 5590 = -0*n. Suppose -p - 4*z = -0*z - 98, -4*p = -3*z - n. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -3, -13, -23, -33, -43?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 315027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**3 - 17*g**3 + 286*g**3 + 13*g**3 + 9*g**3 - 306*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10139867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 4*p + 6. Let j = -48 + 48. Suppose 5*d = -j*d + 10. Suppose -d*f + 10 = -0*f. Give r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i**2 - i + 2. What is m(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/((-58)\/203)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 21 - 53. Suppose -3*u = -47 - 349. Let l be (u\/(-5))\/((-6)\/20). What is the greatest common divisor of l and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -20*f**2 + 478*f - 5. Give u(24).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2724 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 4 (c) 3 (d) 0.1 (e) 59.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/14 - -1\/2. Which is the closest to -1? (a) w (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 4*k + 2*n, -310 = -3*k - 51*n + 46*n. Solve 2 - k = 27*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 2*a**5 - 3*a**5 + (-3*a + 4*a - 2*a)*(-3*a**3 + 3*a**3 + 2*a**4) + 3*a**5 + 32*a**5 - 157141*a + 157148*a.\nAnswer: 31*a**5 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 522, 784?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -7\/3*h**3 + 34 - h**2 - 43*h. What is the derivative of m(d) wrt d?\nAnswer: -14*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**4 - 1565*j**3 + 16010*j**2 - 45100*j + 38760 = 0.\nAnswer: -323, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*10*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 74 = -52. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*c**2 + 6*c**4 - 142*c**2 - 7*c**5 - 147*c**2 - 4*c**4 wrt c?\nAnswer: -420*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) + 0 + 771\/190. Let m = a - 1817\/798. Calculate the common denominator of 7\/15 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165000 and 32.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 152474715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 8*g + 10. Let a(c) = c + 1. Let w be a(1). Suppose w*i - 40 = -3*i. Does 5 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.12 (b) 1 (c) -5 (d) 1\/59 (e) 0.0226 (f) -12 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -221694538072 plus 0.05?\nAnswer: -221694538071.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*k + 163 - 165 - 758*k.\nAnswer: -1085*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 155?\nAnswer: 49\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + 77. Let q = 226 - f. Suppose 0 = -26*v + 29*v - q. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 10:05 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62336, 58809, 55278, 51743?\n\"Answer: -2*a**2 - 3521*a + 65859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13203897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1080 - 1077) + (2 - 15 - 2) - (13 - 6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2760 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -169 in -4.4, 7\/4, 1\/4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 6. Let i(l) = -l**2. Let s(d) = -2*d**2. Let z = -7 - -5. Let g(p) = j*i(p) + z*s(p). Let f(n) = -17*n. Determine f(g(u)).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13601250, 13601290, 13601328, 13601364, 13601398, 13601430?\n\"Answer: -j**2 + 43*j + 13601208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 11 + 225*s**2 + 10 + 4*s**4 - 2*s - 202*s**2 - 2*s**3 in the form o + d*s + u*s**3 + q*s**4 + b*s**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*x + 4*b, 61*b = 60*b + 6. Let v(s) be the second derivative of 7*s**3\/6 + s**2\/2 + 13*s. Determine v(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, -2, -700?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67701634.\nAnswer: 2, 7, 11, 13, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -429 equal to 2748145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47408?\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**7\/105 - 4*z**6\/75 + 8*z**4\/15 - 16*z**3\/15 + 28*z. Determine n so that a(n) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*y + 7, -5*t + 6*y - 3*y = 4. Solve w + t = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59429, -118837, -178245, -237653?\n\"Answer: -59408*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 5*p = -22*a + 22, -4*p - 17 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 35 = 8. Which is the smallest value? (a) -0.5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**3*r - 2*n**2*r - 63*n*r**2 - 140*r**2 + 2 wrt n?\nAnswer: 6*n**2*r - 4*n*r - 63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/266*294\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 14. Suppose 2*s + 1 - 9 = 0. Suppose -5*q + m = 48, -s*q + m = -7*q - 24. Is q < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 - -1.5247.\nAnswer: 5.1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*b**4 - 10*b**2 - 8*b + b**3 + 8*b**4 - 16*b**2 - 1 + 24*b**2 in the form n*b**3 + r*b**2 + a + l*b**4 + c*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*w + 5*c - 4*c, 2*w + 4*c - 12 = 0. Suppose -5*h + 6 = -w. Find the common denominator of 50\/24 + 2\/h and 19\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-418)\/(-231)*-7*(-5)\/((-40)\/12).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 10. Suppose 5*u + 3 = 4*r + 82, -v = 5*r. List the prime factors of 13*u*4\/12.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317*123.12\nAnswer: -39029.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 1. Let j be i(-1). Determine v, given that 0*v**2 + j - 2\/3*v + 2\/3*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, -0.164, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13132003 (base 5) to base 15\nAnswer: 288d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -26. Let t be (-4)\/(-10) - 24\/r. What is the units digit of -1 - 1 - -4 - t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fevvqverqvsfqrrre. Give prob of sequence evf.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -5, -3199 in ascending order.\nAnswer: -3199, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247726, 495965, 744204?\nAnswer: 992443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*f - 66*f + 263*f to y + i*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 30\/8)\/(204\/153*(-3)\/64).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192548, -192550, -192552, -192554?\nAnswer: -192556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1189*b + 1 - 13*b**2 + 11*b**2 + b**2 + 529*b**3 + b**2 - 2*b**2 wrt b?\nAnswer: 3174*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2. Let w(n) = -2*n**2 - 48*n. Calculate w(d(r)).\nAnswer: -32*r**4 + 192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85.8, 4, -3, -1\/2, 0.051, 2\/5.\nAnswer: -85.8, -3, -1\/2, 0.051, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2\/5 - 23212*c\/3 - 25792\/15.\nAnswer: 2*(c - 6448)*(9*c + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27033544?\nAnswer: 2, 809, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, 85, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 53. Let w(o) = o + 1. Let u be w(1). Let d be 0\/((u + 2)\/(-2)). Which is the nearest to -1? (a) -0.5 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/13)*z**2)**(3\/4) assuming z is positive.\nAnswer: z**(57\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let d(l) be the third derivative of 1651*l**4\/6 + 1392*l**2. Calculate d(x(r)).\nAnswer: 6604*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*k**2 + 56*k**2 - 127*k**2 - 10*k.\nAnswer: k**2 - 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5896*r. Let m(x) = -x**2. Determine a(m(y)).\nAnswer: -5896*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -23011133212?\nAnswer: -23011133223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**9\/26460 + t**8\/11760 + t**7\/4410 - t**6\/1260 + 4*t**4\/3 + 19*t. Let g(f) be the third derivative of a(f). Factor g(u).\nAnswer: -4*u*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -9 - -12 - (-1 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7737637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 8 = x, -2 = -j + x. Solve -k = -j*h - 6, -4*h + 5*k + 4 = 28 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1481 + 293 = 0. Let k = -71 + x. Let q = -76 + k. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.06, -0.3, -4, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95289622199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 507?\nAnswer: -4056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 54*w - 890 + 818 + 33*w. Is m(6) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 29*c - c**2 - 38*c + 23*c - 38. Let w be b(9). Factor 3*v**5 + 4*v**4 - v**4 - w*v**4 - 2*v**3 + 3*v**4.\nAnswer: v**3*(v - 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/(f**(1\/11)\/f))\/(f**0)**(1\/8))\/((f*((f\/f**(1\/3)*f)\/f)\/f)**(-3\/8))**(3\/20) assuming f is positive.\nAnswer: f**(-47\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/12))**(-4\/39) assuming x is positive.\nAnswer: x**(-11\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10141233 + 1224?\nAnswer: 10143012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -563 and -1092.5.\nAnswer: 615077.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7878555 to the nearest integer?\nAnswer: 2807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 227. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-7))\/(h*h**(-7)*h)*(h*h\/h**(-5))\/h*h**(-1\/5)*h)\/(h**(-1\/4)*h*h**(4\/3)\/h*h**(-8\/5)*h\/(h*h**(-1\/3))) assuming h is positive.\nAnswer: h**(1199\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1135 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18374 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9349.\nAnswer: 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.10386 - -0.203844. Let m = -0.2 - -0.1. Let j = m + s. Round j to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.0035 - -20.\nAnswer: 12.9965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 - 9*h - 3*h + 3*h + h + (7*h - 3*h - 3*h)*(-3 + 5 + 0) + 4*h - h - h)*(h - 6*h - 8*h).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(1 + -5*(-2 + -1*sqrt(847)*-1*1))**2.\nAnswer: -63889 + 3630*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let t = 157627\/315242 + -3\/157621. Which is the closest to -0.1? (a) t (b) s (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642741 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 2. Let n be q(-6). Let b(t) = 2*t**2 + 29*t - 168. Let g be b(-19). Differentiate -16 - n*d**g + 2*d**3 + 2 + 4*d**3 with respect to d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3670689?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -89359 (base 11) to base 6\nAnswer: -2435410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s - 1\/24*s**4 - 1\/6*s**3 - 7\/60*s**5 - 1\/120*s**6 + 0 - 106*s**2. What is y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*t - 578 = 2*t - 3518 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -159942547.5 rounded to the nearest 10000?\nAnswer: -159940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*q**3 - 6*q + 6*q.\nAnswer: -45*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*s = 2397*s + 2637 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 142*r**2 + 304*r + 872. Let t be s(-73). Let f be (0 - 0)\/(0 + -1). Put -1, -10, f, t in descending order.\nAnswer: f, -1, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 10) + (-109 - -119) - 17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34680 divided by 20\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 6, d: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5407*j - 86707 = 93760 + 14185 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 + 50*i + 268 with respect to i.\nAnswer: 4*i + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*b**3 - 42272*b + 12*b**3 + 42272*b.\nAnswer: 10*b**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4 - (2 + -9). Suppose -x + 25 = 5*v. Suppose j + 40 = v*u, -j = -2*u + 8 + 14. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*4*6 + (-1*sqrt(612) + 1)**2 + -4)*-5*-1.\nAnswer: 180*sqrt(17) + 3045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p + 5. Let f(u) = -19*u + 8. Let z(g) = 5*f(g) - 8*v(g). Let l(x) = -32*x - 2. Determine z(l(c)).\nAnswer: -32*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238459233 to the nearest integer?\nAnswer: 15442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464*g - 100*g = -79 - 1613. Solve -5*d - 3*v - 172 = -168, -2 = 4*d + g*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let y(a) = 3*a - 1. Determine 6*g(b) - y(b).\nAnswer: -9*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 444259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 17 + 7*s**2)*(-4 + 6 + 5) - 3*s**2 + s**2 + 0*s**2 - 2 + s**2 + 2 + (0*s**2 - s**2 + 3*s**2)*(-2 + 3 - 2) to j*s + k + o*s**2 and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0 + 5)**2 + 1 + ((sqrt(405) + 1)*-2 - (5*2*sqrt(405) + sqrt(405)))**2)*3*-2.\nAnswer: -413280 - 3348*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 71837 - 71837.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-12) - (93\/(-6))\/1. Solve -2*r + w = -a, 2*a - 5 = -4*r - a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.444907114 rounded to 4 dps?\nAnswer: -0.4449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 732 divide 51362976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n + 9\/2*n**4 - 1 + 0*n**3 + 0*n**2. What is the remainder when j(1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 + (66 - 5))\/(47\/(-2)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5 - 6*d**5 + 3*d + d + 0*d**5 wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) 5\/4 (b) 7\/116 (c) 0.4 (d) -1\/5 (e) 3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 120001*w**3 + w**2. Let s = 22 + -23. Let p be t(s). What is p rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 53. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 176 = -3*r, 298*h - 149*h - 146*h + 8*r + 317 = -166 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7336 in -1, 0.5, 3\/2, 2.9, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 - -0.22. Let f = y - 3.07. Which is smaller: f or 29?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*w - 127, 72 - 1 = 2*w + k. Calculate the remainder when w is divided by -15*(-30)\/50*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by 32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -15. Let d = -15.000816 + u. Round d to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fft when three letters picked without replacement from ttltftttttltfflftt?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + f + 173. Suppose -4*p - p = 5*y - 220, -5*y + f = 4*p. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 2, e: 1, y: 1}. What is prob of picking 2 p, 1 i, and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-36)*(-4)\/(-14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101220001 - -200211221?\nAnswer: 2002201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:00 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 8227?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 34 = -20. Let u = n - 22. Put 1, -5, u in increasing order.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27844, 111727, 251532, 447259, 698908, 1006479?\n\"Answer: 27961*x**2 - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235111*h**4 - h**2 - 14521*h + 5 wrt h.\nAnswer: -5642664*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/9 + 4424*j\/3 - 2446472 = 0.\nAnswer: 3318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.122766\nAnswer: 0.061383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -214310.\nAnswer: -42862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**7\/105 - x**6\/30 - 11*x**3\/6 - 7*x**2 - 2. Differentiate k(j) wrt j.\nAnswer: 8*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 124, 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1\/8, -5, 0.007, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 710512510 and 3602?\nAnswer: 3602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 130835969 or 130835971?\nAnswer: 130835971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 divided by 1332?\nAnswer: -215\/666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*g - 4*g + 25, 3*g - 5*v - 58 = 0. Let j be (-26)\/(1\/((-3)\/2)). What is the derivative of g - j*l**2 + 22*l**2 + 14 wrt l?\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)\/(3\/(-15)). Suppose -2*u - h - h = 12, t*h + 12 = u. Is u less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.8305 millilitres in litres?\nAnswer: 0.8938305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619728 to the power of 1\/2, to the nearest integer?\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30051439 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from tvtgtgtkvnkynv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -91 + 27. What is the highest common divisor of 76 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.3051 times -2.9?\nAnswer: 337.28479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + -3. Let c = a - -0.2. Let g be ((-71910)\/13464 + (-42)\/(-8))\/((-1)\/(-2)). Sort g, -1, -4\/7, c in descending order.\nAnswer: c, g, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/610 and -43\/569698?\nAnswer: 173757890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) -2 (c) -101 (d) -19.7 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wic when three letters picked without replacement from agwccciic?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119380 divided by -940.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6677*p - 145162 = -45007 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let g(k) = -30*k + 8. Let m(n) = g(n) - 8*s(n). Let y be m(3). Let i = -87 - y. Calculate the remainder when 37 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 505*s + 107. Let z be x(-2). Let p = z + 906. Suppose g + 10 = 2*c, 2*c - 4*g + 0*g - 10 = 0. Solve -2*r - p*d = -0*d, 4*d = c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00103215101 to seven decimal places.\nAnswer: -0.0010322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {s: 2, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106968862, 106968861, 106968860, 106968859?\nAnswer: 106968858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = -8. Let r = -3 + f. Suppose -r*n + 2*t = -n + 28806, 4*n + 28803 = t. Round n to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 times -2.8?\nAnswer: 870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*f + 37 = -68, 4*t - 4*f = 168. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 - 7*o**2 - 3*o + 5. Let v(j) = 26*j**3 - 35*j**2 - 14*j + 25. Let n(g) = -11*k(g) + 2*v(g). Is n(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 10. Let y(c) = -c - 1. Let u be y(f). Suppose -65 = -x - 3*z, 0 = z - 0 + u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 4*k**2 + 6*k - 4. Let d be l(4). Let b = -11 + d. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 - (-12)\/4. Suppose 0*n - 2*n + 58 = 2*v, -y*n = 4*v - 116. Suppose -5*i = 5*c - 55, -3*c - 3*i + v = -2*i. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/7 - 461*i - 2177626\/7 = 0. What is i?\nAnswer: -2266, -961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 893249672 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -13. Let f = 12 - y. Let m be 2 + -1 + 0 - 0. Which is the nearest to m? (a) -1\/3 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -k + l, 2*l - 10 = 0. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 24833.\nAnswer: -24836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025339 to 6 dps.\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -439.594 minus 57.503?\nAnswer: -497.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00144955798 to 6 decimal places.\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 10686332*h - 32058960.\nAnswer: -4*(h - 2671580)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58103686 less than 3228517?\nAnswer: -54875169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 15, a: 4}. Give prob of sequence aa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -116) + 3597\/2507*-23?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38930 = -84*m + 67*m. What are the prime factors of m?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)\/((s\/(s*(s\/(s\/s**19))\/s*s))\/s)*s**18\/(s*s**(-18)*s) assuming s is positive.\nAnswer: s**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5787 + -5737. Calculate the smallest common multiple of 110 and c.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -99126593 >= -99126595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.97 - -2.73. Let b = r + -1.760065. What is b rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:57 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -426\/11 (c) 5 (d) -5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let n(c) = c + 11. Let h be n(-12). Let j(m) = 95*m + 114. Let b(v) = h*j(v) - 114*t(v). Is b(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*(-13)\/(-260)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**3 - 99*u**2 + 29*u - 21 wrt u?\nAnswer: -30*u - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760 divided by -44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35251, 35250, 35249, 35248, 35247, 35246?\nAnswer: 35245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676385.551 rounded to the nearest one hundred?\nAnswer: 3676400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u - 29. Let a = 7 - u. Is 315\/9*(-1 - a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*n**4 - 15*n**4 - 2*n**4)*(-1 + 0 + 3) + (1 + 4 - 4)*(-16 + 16 + 2*n**4) in the form z*n + r*n**4 + v*n**2 + q*n**3 + c and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2*k. Let l be h(-3). Let c be 76\/26 - (-12)\/156. What is the third derivative of -c*i**2 + i**l + 3*i**3 + 4*i**3 wrt i?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(171) + sqrt(171))\/sqrt(9) - (sqrt(19) + 3*sqrt(19) + -1))**2.\nAnswer: -10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15217550 divided by -4\nAnswer: 7608775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 97 = 729. Let t = 11 + g. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t + 2130*c - 2128*c + 78, -3*t - 45 = -3*c for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -521, -650, -759, -842?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - ((-1 - -1) + 4). Let l = 15 + b. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 1\/6*i**4 + 0*i**3 - 2*i**2 + 0 + 10*i. Give k(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 72?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*i - 412*i = -30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, -6, -32, -64?\n\"Answer: -3*t**2 - 11*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7209*o - 790. Let h(j) = 2*j. What is l(h(a))?\nAnswer: 14418*a - 790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-6 - ((15 - (-9 + 44)) + -4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 8*q + 3. Let r be h(8). Solve r*n = -n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -58 - (-10380 - -10266)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13595416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*h = -4*h - 26, 2*s = -2*h - 4. Let r = s - -7. What is the third derivative of 59*i**6 - i**2 - 46*i**6 + r*i**2 wrt i?\nAnswer: 1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-45)*-6)\/((-1)\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let c(j) = 12*j**2 - 26*j. What is c(t(y))?\nAnswer: 48*y**2 - 52*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.2, -8, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 2*z - 7. Is v(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 + 12 + -5 - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2044225 (base 6) to base 12.\nAnswer: -49675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 188*r**2 + 32*r - 159. Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 2*r. Suppose -20*c + 17*c + 4*o + 58 = 0, 3*c = 3*o + 60. Is c less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*o**6 - 5*o**4 + 6*o**2 - 24.\nAnswer: 2760*o**3 - 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/90 - v**3\/2 - 3*v**2. Let k(n) be the first derivative of b(n). Let a(j) = j**2. What is a(k(i))?\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1087*q + 1. Let f be x(1). Suppose 312 = -4*n + f. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 38 = -6*l + 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {p: 1, f: 1, u: 2, e: 1, h: 4, g: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7002*r - 1903*r + 4365*r)*(0*r + 3*r + r).\nAnswer: -18160*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -993 - -2113. What is j rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -510 + 254 + 254 - 6*q. Let j(g) = 5*g + 1. Determine -3*h(m) - 4*j(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*4\/7. Let w = -116845301\/410245 + 6\/37295. Let c = w - -285. What is the closest to -0.1 in 3\/5, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.06 - 16.06. Sort 18, -0.2, 8, -2\/11, y.\nAnswer: y, -0.2, -2\/11, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -2)\/(-1*1). Let o be 5*(-1 - p*-1). Suppose -o*h = -2*h - 6. Solve -h*i + 4*i + 5*l - 8 = 0, -3*l = -4*i - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teeet. What is prob of picking 1 t and 1 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0038*-5.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 32948120 and 32948120 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 4. Suppose 4*t = 53 + 11. Suppose 0*l - t = 4*l. Determine v(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = 64*a - 44 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13))**(-23)*c\/(c*c*c**(-1\/4))*c**(-1\/10) assuming c is positive.\nAnswer: c**(5963\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 20*u**2 - 2*u - 29. Let l be d(-20). Differentiate 1 + 4 + 6 + l*y**3 with respect to y.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 + 10 - -1 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3\/2 + 69*v**2\/2 + 231*v\/2 - 49\/2.\nAnswer: (v + 7)**2*(5*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.57312 or -40?\nAnswer: 1.57312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from emziqlzzmqlzzzmlzllm.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 42 + 12 = 0. Put -6, 1, z in descending order.\nAnswer: 1, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1167171, 1167176, 1167181, 1167186?\n\"Answer: 5*n + 1167166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 703, 5, -5, -2\/141, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k = -40*k + 16, -2*k - 18 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from idlldld.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + 2*k)*(-5*k - 11*k + 2*k).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4 - -2) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 47*x + 238. Let r be n(-5). Suppose -4*b - 13 = -r*y - 93, -5*b + 100 = y. Solve -4*v - b = 3*p, v = -4*p - 4*v - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - -1985a0?\nAnswer: 198581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 396*r - 9645. Calculate z(101).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 39*f + 9438 = -38*f, f = 5*v - 23602. List the prime factors of v.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 - b**2 + b. Is 15 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -42*s - 124. Which is the closest to 2? (a) s (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41720014 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-355)\/(-497) - 2\/12*(0 - -4). Let p = 0.18 + -0.68. Sort -0.1, p, r in decreasing order.\nAnswer: r, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4296*g**3 - 10*g - 4284 + 9*g + 1042 wrt g?\nAnswer: -12888*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 293.0936 to 1 dp.\nAnswer: 293.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20039 + -11566. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - l + 8 + 6 = 0, 10 = -2*x + 2*l. Let v be 0 - (-2 - (-33)\/(-3)). Let h = x + v. Which is greater: 8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 32*d**2 + 2*d + 74. Calculate p(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*c + 208 - 748 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1)*(-8*i**4 + 0*i**4 + i**4)*(3711 + 2698 - 7452).\nAnswer: 14602*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(75) - sqrt(3)) + sqrt(245) + -5.\nAnswer: -5 + 29*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5851, -5955, -6239, -6793, -7707, -9071?\n\"Answer: -15*b**3 + b - 5837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78928 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95337760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -13. Let w be r\/(-14) + 48\/28. Find the second derivative of -6*l - 15*l + w*l + 29*l**3 - l**3 wrt l.\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-3)\/(-307)) + 2 + 1. Let s = 303 + p. Which is greater: 5\/76 or s?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btb when three letters picked without replacement from vbtb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2028*h**2 - 120*h + 120. Give v(1).\nAnswer: 2028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*u + 45, -q + 3*u - 7*u - 43 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/8*3*(-6)\/27?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119631 (base 10) to base 9.\nAnswer: 202083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1196 times -12?\nAnswer: 14352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*h - 462 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Suppose r*g + 9 = g. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 1637820.\nAnswer: 13102560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20200200 + -321?\nAnswer: 20133213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -67703 less than or equal to -67700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -1\/4*c**4 + 3 + 2*c**3 + c**2 + 6*c. Let o(g) = g**3 - 5*g**2 - 2*g - 5. Calculate -6*o(h) - 5*w(h).\nAnswer: -h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -7177?\nAnswer: 7176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0*l - 5*l + 2*l. Let b be x(-1). Suppose d + 12 = b*d. Solve -5*q + 32 = 3*u + d, q = -u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffeffkefff. Give prob of picking 1 f and 1 e.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - sqrt(5)*-2) + (sqrt(700) - -2*sqrt(700))**2.\nAnswer: sqrt(7)\/3 + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -1 - (29 + -30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006481410515 rounded to 4 decimal places?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 29*l + 158. What is c(11)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let d(a) = -a**3 - a**2 + 7*a - 4*a + 2*a**3 - 32 + a**3 + 29. Give d(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 + 3*g - 47. Calculate i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r - 5. Suppose -3*k - 26 = 13. Let u(t) = -5*t + 2. What is k*u(z) - 6*o(z)?\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/8*1)\/((-6)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -637987*z**5 + 116*z**2 + 151886292*z?\nAnswer: -12759740*z**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 - (-10 + 8). Suppose 0 = a*g - 3*l + 47, -5*l = g - 3*l - 2. Is -9 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -b - 3*b + 95, 0 = -b - 1. Let l = 104 - r. Let m(g) = g + 5. Let u(s) = 2*s + 11. Give l*m(y) - 2*u(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2452408 and 2310?\nAnswer: 404647320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209) + 2*sqrt(209) + sqrt(209))*-4)\/sqrt(11).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10023 (base 4) to base 14.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 1 = -3*h + 13, -3*b - 4 = -5*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 30581?\nAnswer: 3\/30581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.458756 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1676*a**2 - 4*a - 2. Is q(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.3 (b) -0.1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4694*c - 1131 - 21 = 4742*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132860867*g**3 + 7937528*g**2 + g + 10.\nAnswer: -797165202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 - 2685*a**2 - 359115*a + 361805 = 0. Calculate a.\nAnswer: -269, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1055\/9? (a) 1 (b) -9 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -46 - 18) + -1 + 0 + -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t. Give l(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10) - (162\/(-30) - -5). Let i be 2*1*(-14)\/(-4). Calculate the highest common factor of o and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25527 - 25535.728. Which is greater: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 12*b + 15. Give n(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3155749484 - -6800\nAnswer: 3155756284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2396309 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3251241 (base 7) to base 2.\nAnswer: 1100001011010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/35 and -119\/100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-25)*(-20)\/(-16)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22492901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/5))\/(((u\/(u*u**(-10)*u))\/u)\/u)*u**(-1\/8)*u\/u**(-5) assuming u is positive.\nAnswer: u**(-21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x**(2\/77)*x*x)\/x*x)\/x*(x\/x**(7\/4))\/x)**(-17) assuming x is positive.\nAnswer: x**(-6681\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9112 and 196712.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*4*sqrt(4050))\/(sqrt(40)\/(sqrt(72)\/sqrt(2))) + -1)**2.\nAnswer: -2099524 + 2592*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Suppose -5*k - 6 = -3*k, -2*y + 4*k + 18 = f. Solve n - v + y*v - 1 = 0, -5*n - 8 = -3*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53.5 - -96.6. Let w = o - 45. Let s = w - -2. Which is the biggest value? (a) s (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 11*o**2 + 15*o - 16. Suppose -t + 10 = 1. Let a be q(t). Let y = a + 75. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/5 + 67*z\/5 + 68\/5 = 0 for z.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1201012021000111?\nAnswer: -1201012021000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30158, 60322, 90486?\n\"Answer: 30164*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 54. Determine b(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*l - 20, 14 = l + 7*r - 2*r. Suppose 0*o + 4 = l*o. Suppose -5*d + 64 + o = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32013 (base 4) in base 11?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((sqrt(190) + sqrt(190)*2 + sqrt(190))*4)\/(3*sqrt(490)) + 2)*-3)**2.\nAnswer: -26512\/49 - 768*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73968 by 276.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 6, -3 in descending order.\nAnswer: 6, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*s**5 - 250*s + 381*s + 527*s + 319*s**5 wrt s?\nAnswer: 4600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12310 + 162378 = -5459*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -772, -1520, -2276, -3040, -3812, -4592, -5380?\nAnswer: -6176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3664742349.\nAnswer: 3, 67, 18232549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckccrckcrcb. Give prob of sequence crc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 11, a: 1, b: 5}. Give prob of picking 1 m and 1 b.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 - 8 - -40 - 2. List the prime factors of 2593\/5 + 17\/((-1275)\/v).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y - 1. Let f be c(-1). Let r = 4 - f. Let p(j) = 8*j**2 - 1. What is the units digit of p(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -10\/3. Which is the nearest to -2? (a) s (b) -0.3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4100, 3582, 3064, 2546, 2028, 1510?\n\"Answer: -518*v + 4618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 10. Let i be p(-6). Let s be i\/(-7) - 104\/(-28). Suppose 3*b - 5*c - 12 = -3*c, -s*c = 0. What is the greatest common factor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5903051*q**4 + 5227450*q wrt q.\nAnswer: -70836612*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 - (2 - (0 - -3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 91 = 13*j. Suppose -j = 4*r - f, -138 + 43 = 5*r + 5*f. Let p = r - -39. Solve -5*k = -t - 28, 2*t - t + 4*k - p = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2547 * 0.4\nAnswer: 1018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 + 4*x - 1. Suppose 0 = 7*k - 5*k - 6. Let a be j(k). Differentiate 10*n**a + 0 + 0 + 1 - 15*n**2 with respect to n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66236 - -66248. Let l = -19 + 28. Solve 6*o - f = l*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2058)*2)\/((sqrt(6) - (sqrt(30)\/sqrt(5) + sqrt(6)))*6) + -1 + 1 + ((sqrt(112)*2 - sqrt(112))*6)**2.\nAnswer: -7*sqrt(7)\/3 + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -2251, -5067, -9009?\nAnswer: -14077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 + -280. Suppose t - 245 = -g*n, n + 2 = 2*n. Is t a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -48. Let t = h - -21.16. Round t to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 - 1) + (2966 - 2863)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.645176 to three dps.\nAnswer: 0.645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8867 - -0.929. Round k to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07873 - 5?\nAnswer: -4.92127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -410 in 0.3, 3, 0.4, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2730*o + o**2 - 86*o**3 - 3 + 2730*o wrt o.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 1 + 1)*(-102*k + 2 + 63*k - 4) in the form s*k**3 + n + g*k**2 + p*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 - -184. Suppose -21*a + 721 + 140 = f. Calculate the remainder when 75 is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3850335 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, j: 3, r: 6, l: 3, d: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 - ((-16 - -29) + -19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-15)*c**(1\/4))**(-1\/51) assuming c is positive.\nAnswer: c**(-65\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -49915.1 * -43\nAnswer: 2146349.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -401, -602, -803?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4185\/18 - 15)*14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269621 divided by -7?\nAnswer: 269621\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 144*r**2 - 44*r**3 - 3*r**4 - 257 + 3\/5*r**5 + 1728*r. Find u, given that p(u) = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 35*v + 41. Give u(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-4 + 2 + -72) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 33 - 16*h**2 - 80 - 6*h**2.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20011 - -13211. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 318.\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 13. Let r be k(3). What is the second derivative of r*s**2 + 7*s + 15*s + 6*s**2 wrt s?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87208027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/48, 4\/9, -1\/5 in ascending order.\nAnswer: -0.5, -1\/5, 1\/48, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwmwmwhwmwwmmmwmmm. Give prob of picking 1 w, 1 h, and 2 m.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from sjwpjewsjpej?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -199872782 - -0.18769.\nAnswer: -199872781.81231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 51 + 1. Solve p = h + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83 and 9?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12432 divided by 84\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(2 - 2 + 4*t)*(-2 - 1 - 5 - 3 - 2 + 7 + (-4 + 3 - 1)*(-2 - 4 + 5)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -0.4, 1, -5 in decreasing order.\nAnswer: 2, 1, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*-2*sqrt(704)*3.\nAnswer: 4 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m + 15. Let k(v) = -13*v - 12. Let g(h) = -3*k(h) - 2*t(h). Determine g(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4090850?\nAnswer: 2, 5, 81817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n**2 + n + 7. Let m(t) = 5*t**2 + t + 6. Let s(k) = 2*g(k) - 3*m(k). What is s(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -36.8. Which is the closest to -2\/3? (a) -0.1 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by -1229\nAnswer: 86\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3 - 1898*o**2 + 3799*o - 1900 = 0?\nAnswer: -1900, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r**3 + 8*r**2 + 2*r. Let w(d) = 30*d**3 - 62*d**3 + d + 3*d**2 + 27*d**3. Calculate 3*k(s) - 8*w(s).\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2270 and 6820?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.404261l to millilitres.\nAnswer: 7404.261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1029369*o**2 - 23*o - 4. Let i be (-38)\/(-10) - 19\/(-95). Let s be z(i). Round s to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/42 and -71\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -323221100223 (base 4) to base 14\nAnswer: -21100d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-153)\/((1 + 0)*1). Let f = 617\/4 + z. What is the nearest to 2 in -0.2, f, -1\/12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y**2 + y - 4. Let u be a(-3). Suppose -6*g + 238 = -u. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 560 and 0.012.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/38409 and -27\/3658.\nAnswer: 76818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384687941 to the nearest integer?\nAnswer: 19613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 158*w - 2*w**3 - w**2 - 9 - 107*w + 32 + 266*w in the form o*w + h*w**3 + r + a*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4 - 10148*z**3 + 12*z**2 + 30452*z + 20296 = 0.\nAnswer: -2537, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2. Let f(u) = -162268203*u**2. What is x(f(w))?\nAnswer: -26330969704849209*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 (base 7) in base 12?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - m - 9 = 3*i, 2*i + 6 = -2*m. Suppose -5*j + 11*o - i = 12*o, 8 = -j - 4*o. Solve -3*q + 2*t + j = 5, 3*q - 5*t + 17 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196118*s**4 + 772*s + 7?\nAnswer: -2353416*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 + -0.39. Let j = f + 0.05. Let c = j + 0.189973. What is c rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -25*m - 163. Determine u(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019328 to 4 dps.\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 545190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -73, -107?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 66?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -3)\/(8\/(-368))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 3048, 10091, 23862, 46617, 80612, 128103?\nAnswer: 191346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -5*m - 5*u - 65, -4*u = -5*m + 130. Let t(q) = q**2 - 8*q + 15. Let l be t(8). Suppose 10*b - l*b = -m. Solve f - 20 = b*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -15. Let q be (z\/12)\/((-2)\/9). Suppose 4*i + 23 = -n, q*n = 2*i - 0 + 1. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -239, -226, -199, -152?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 37.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -6*a + 3800. What is the highest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - 10\/(-4). Find the third derivative of -3*v**2 + v**3 + 0*v**3 - 2*v**b wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -759 divided by -3?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00497672 rounded to four decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 112 = 3*u, 6*s = -4*u + 3*s + 171. Let n = -40 + u. Let i = 3.4 - -0.6. Which is the closest to n? (a) 2 (b) 2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5 + (0 + sqrt(637) - sqrt(637)))**2 - sqrt(637)) + 0 + ((3*sqrt(117) + sqrt(117))*-3)\/(-2*sqrt(225) - sqrt(225)).\nAnswer: -31*sqrt(13)\/5 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440430\/21 + (-3)\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342162258 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 11:26 AM and 11:35 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**3 + 39048*m + 39035*m - 78083*m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/6 + (-4)\/(21 + 3). Suppose -13*s + 9 + 56 = t. Let j = s + 126. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -2974802\nAnswer: -17848812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*a = -16. Let o(p) = p**3 - 4*p**2 - 3*p - 4. Let i be o(5). Calculate the greatest common divisor of i and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1219169468 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 271, 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3))**(13\/5)*x**(-3\/2)\/(x*x**(-3\/10)))**30 assuming x is positive.\nAnswer: x**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 4)\/(-16)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*h - 540 = -7*m, 5*m = -4*h + 540. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 244*q + 340*q - 1734 + 23926 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -14*w**2. Let m(s) = 110*s**2. Determine h(m(a)).\nAnswer: -169400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 3*u - 24 + 16 - 2*u. Let f be q(-4). Factor f*p + 0*p**4 + 0*p**3 + 0*p**2 + 0 - 2\/3*p**5.\nAnswer: -2*p**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 14*j**2 - 16*j - 2. Calculate the remainder when 89 is divided by k(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86224, 86197, 86150, 86083, 85996, 85889, 85762?\nAnswer: 85615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {j: 4, w: 5, x: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*q = 3, 4*z + 24 = -2*q + 48. Suppose 0 = -z*f + 10*f - 48. What is the remainder when 0\/(-1) + 1 - -46 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*c**2*i**2 + 609200*c**2*i - 7*c*i**2 - 8745*i**2 + 30*i wrt i.\nAnswer: -70*c**2 - 14*c - 17490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 152)*(-292)\/1022 - (-2)\/7\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3078831*w - 18000921.\nAnswer: -3078831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19\/4 of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*u + 2646*u**2 - 1 - 5273*u**2 + 2643*u**2 to the form h*u + r*u**2 + t and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + -112200222021?\nAnswer: -112200220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5 + 1. Suppose -3*j + 47 = 17. What is the smallest common multiple of j and (-8)\/d*(-3)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*f + 2 = 4, 5 = -5*f. Suppose -1094*r + g = -1093*r. Solve 41\/9*k**2 + 100\/9 - 220\/9*k - 2\/9*k**r = 0.\nAnswer: 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5745 + 5787. Which is the closest to 2? (a) u (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1410170*t + 2942*t + 411421*t.\nAnswer: 1824533*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119141521 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 54*o + 1356. Calculate the remainder when l(64) is divided by 355.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d + 5*d**5 - 7 - 3*d**5 + 7 wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 6744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116220 is divided by 38714?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 11*d + 8. Let s(h) = -h + 1. Let v be s(4). Sort -4, d, v in increasing order.\nAnswer: -4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 794059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose 5*o = -2*r + 145, 0 = h*o - 0*o + 3*r - 58. Suppose 0 = -4*j + o + 19. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 41 + 57 = 0. Let g = v + 49. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l - 12. Let j be t(6). Let y = 71 - j. Let w(o) = -2*o. What is the remainder when y is divided by w(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -382 - -626. Let g be (-14)\/35 - o\/(-10). Suppose g*x = 23*x + 13. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from {c: 8, f: 6, o: 2, l: 1, d: 1}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.53 + 28.53. What is the smallest value in -4, 2\/7, i, -23, 2\/13?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -7. Suppose -4*d = -1 - w. Let m = 39568.4 + -39569. Which is the second biggest value? (a) d (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -484*u + 6035. Determine s(13).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6137 + 1862 = 475*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 294613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/7, 2, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2236*b + 744*b + 758*b - 6*b**2 + 737*b.\nAnswer: -6*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - 13?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 - 238 - (-16 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 775 - 113370?\nAnswer: -112595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 44 + 46. Let z be 155\/o - (-2)\/(-9). Let w = 12.7 - 12.6. Which is the nearest to z? (a) -0.3 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -1885.\nAnswer: -56\/1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*4\/16*0. Solve 3*b - 21 + 6 = j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 48*u**3 + 8. Let c(n) = 96*n**3 + 15. Give -5*c(r) + 9*q(r).\nAnswer: -48*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7020 + 170*q + 7020)*(4*q**3 - 3*q**3 + 0*q**3).\nAnswer: 170*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101398024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151404 by -6.\nAnswer: 25234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 - -1079\/7. Find the common denominator of -48\/7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*y - 31 = -105, y + 30 = 2*n. Suppose 2*c = 3*c - 5*b + 9, 2*c - 2*b - 22 = 0. Calculate the least common multiple of c and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(360) + sqrt(12))\/(6*sqrt(16)\/sqrt(4)).\nAnswer: 7*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*s - 201*s + 401*s - 98 = -3*k, 2*s + 3*k = 10 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1465957 by 1.\nAnswer: -1465957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3\/8, -37.6, -2, 3\/5, -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1561 * 254\nAnswer: 396494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11971713347.000000083 - -11971713395. Let y = j - 48. Round y to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:24 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o. Let d(m) = 5*m. What is f(d(g))?\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105157092 by -52578546.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 585\/623 or 2?\nAnswer: 585\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**(-2\/7))\/(d**(2\/3))**28 assuming d is positive.\nAnswer: d**(-398\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/17538860 and -8.\nAnswer: 17538860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 3*b - 4. What is the least common multiple of 42 and k(-2)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12423*b + 360366. Calculate h(29).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgmjgvas. Give prob of sequence gms.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*k - 2*k + 54, 0 = 3*k - 9. Let m = y + -4. Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158508 and 79275420?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q - 5*q**3 + 2 + 10*q**3 - 4*q**3 + 7*q**2. Let w be o(-6). Let f(b) = -w*b**2 - 407 + 407. Let c(d) = 2*d. Give c(f(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 290. Let k = j - 176\/3. Let n = -373.5 - -374. Which is bigger: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 2*u**4 + 22 + u**3 + 0*u**3 - u**2 to o + n*u + l*u**4 + j*u**3 + q*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -11 + 5 - (-12 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekkf when four letters picked without replacement from {f: 2, e: 3, k: 2, c: 13}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 17 = 11. Suppose -n + 16 = -k. What is the lowest common multiple of 14 and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35916 and 804168.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1090861\/90 + -12120. What is the common denominator of -109\/200 and q?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w*w\/(w**10\/w)*w*w*w)\/w*w**(-4))\/(w**4)**25)**(1\/5) assuming w is positive.\nAnswer: w**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 166 + 326 + 11*z - 13*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 2849 - 5*t**2 - 2931 - 2857 + 8637 - t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 11, m: 1}. Give prob of sequence sm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and 190009.\nAnswer: 190020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - b + 3 = 0, b = 3512*i - 3511*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (65778 - 13) - 6\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (2*sqrt(209))\/sqrt(11) - (sqrt(190) - (sqrt(190) - sqrt(190)*-1))\/sqrt(10).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 15, v: 2}. What is prob of picking 1 g and 1 i?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-16 - -2) + 9 - -42) + -24\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.08999756 + -2.09. What is l rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12727868 divided by -2?\nAnswer: 6363934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 5:18 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 - z**3 + 6*z - 8*z)*(-3 + 0 + 4) to q + x*z**2 + b*z**3 + o*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/3 + 7*h**4\/3 + 5*h**3 + 13*h**2\/3 + 4*h\/3.\nAnswer: h*(h + 1)**3*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s**2 + 0*s**2 - s**2)*(2 - 1 + 1) + s**2 + 5*s**2 - 5*s**2)*((4 + 1 - 3)*(2 - 2 + 3*s**2) - 2*s**2 + 0*s**2 + 0*s**2).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2485 - 2842*u**3 - 2485.\nAnswer: -2842*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 3 = 3*c + 3*p, 3*c + 17 = -4*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971.73 micrograms to nanograms.\nAnswer: 971730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:13 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 - 161. Let r(b) = 28*b - 25. What are the prime factors of r(t)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931251168736992*w - 931251168736992*w + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-9))\/((-66)\/(-396))*1\/(-21)*-9\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2548063\/1460 - -6981\/4. Which is the third biggest value? (a) j (b) 2\/17 (c) 0.01 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 234950.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, 0, -2, -5, 2, -4, 2256 in ascending order.\nAnswer: -5, -4, -2, 0, 2, 185, 2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/12)\/(0 - (-15)\/(-5180)). Let q = 87 + s. Factor 2\/9*l**2 - q - 4\/9*l.\nAnswer: 2*(l - 3)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.05223\nAnswer: -0.26115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104216\/8785795 - 30\/2417. Do 0 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91433 is divided by 3975.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:16 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from griggyiigtjrggttrjg?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.995 - 3.295. What is the nearest to -2\/9 in -4\/9, 12, -2\/7, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-3\/2)\/k))\/(k*k\/k**(-9)))\/(k\/(k*k**(1\/7)))**19 assuming k is positive.\nAnswer: k**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-9 + (-550)\/(-60)) + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 297 or 177?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 144 = 44*i, 5*i - k + 6 = 6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -584 + 12163. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1355650 (base 8) to base 2\nAnswer: -1011101101110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -848 - 6?\nAnswer: -84e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 9:02 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - 2*q**2)*(198*q + 8*q - 46*q)*(-2 + 3 - 2).\nAnswer: 320*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -24*d + 3*d**3 + 35*d**2 + 3 + 26*d**2 + 31*d**2 - 14 - 58*d**2. Determine g(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 1. Suppose r = -3*y + l*r + 2, -28 = 3*y + 5*r. Let n be (2\/(-4))\/((-1)\/(-4)). Is y greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/217224 and 121\/1260.\nAnswer: 1086120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/126*(-4)\/39?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3377 divided by 1.\nAnswer: -3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 360 - 319. What is the remainder when 154 is divided by q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/120 + r**5\/10 + r**4\/8 - r**3\/3 + 2*r**2. What is the units digit of c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -12*b - 17. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/147*(5\/(-15))\/(-12*25\/(-2700)).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 6*b**2 - b - 4. Let d be w(4). Suppose -15*j + 19*j - d = 0. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (10 + -12 + 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308992300 rounded to the nearest one hundred thousand?\nAnswer: 1309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*t = -10, -2*l - 2*t = -0*l - 10. Solve -26 = l*b - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/56847 and 77\/4.\nAnswer: 227388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -86.\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 6 - 8 - 7. Let y(c) = -c - 2*c + 0*c + 4. Let f(t) = 2*r(t) + 5*y(t). Differentiate f(l) with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -18*i**2 + 39*i + 39. Let y(h) = -5*h**2 + 2 - h**2 - h**2 + 2*h + 6*h**2. What is -6*m(a) + 117*y(a)?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2846*b - 14241. Give r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(sqrt(1700)*2)**2 + -2)*-2.\nAnswer: 13596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 504 = -68. What is the remainder when 567 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 263c073 + 1?\nAnswer: 263c074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 7 (c) 4\/7 (d) 6402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aujnatjuq. Give prob of sequence ta.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634944 is divided by 12958.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1612 - 946. Let i = t - 665.999999421. Round i to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 115452300 + 45852300 = 0. What is h rounded to the nearest 1000000?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.059 and -1212 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q - 2*q + 4*q)*(-q - q + 0*q) - 203066 + 203066 - 142*q**2)*(3*q**2 - 5*q**2 + q**2).\nAnswer: 146*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 340, 501, 684, 889, 1116?\n\"Answer: 11*g**2 + 128*g + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*p = -73 + 66, -k - 6*p - 7 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1.4858 (b) -0.6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 4:34 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 5, -1, -6 in ascending order.\nAnswer: -6, -1, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g. Let s(u) = 9*u - 1. Suppose -4 = -i - 1. Let y(z) = i*s(z) - 24*p(z). What is the first derivative of y(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 73*c + 76*c - 5 = 0, -3*j - 3*c = -81. Sort j, 106, -1 in descending order.\nAnswer: 106, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 2 (b) 56.83 (c) 2\/5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -268*p + 281*p - 65. Let u(l) = -35*l + 181. Let y be u(p). Solve 6 = -0*w + y*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -5340?\nAnswer: -5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22526685 divided by 15?\nAnswer: 1501779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.6318508 to 1 decimal place.\nAnswer: -80.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/8763?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/2 (b) 5 (c) -2\/245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 409937459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -143886048678 + -0.03\nAnswer: -143886048678.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**3 + 995*k**2 - 4648*k - 3350. Give h(161).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 >= -2051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let c(v) = 5495*v**2 + 245. Let n(o) = 67*o**2 + 3. Let g(k) = -3*c(k) + 245*n(k). What is g(p(j))?\nAnswer: -280*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = -160. Let q(y) = 2*y**3 - 34*y**2 + y + 9. Let b be q(17). Suppose b*j - 20*j - 120 = 0. What is the greatest common divisor of v and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7305687173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97.3731 and -6.\nAnswer: -584.2386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125228849 rounded to five dps?\nAnswer: 0.12523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v. Let f(y) = -y + 1. Let d(a) = 0*a + 1 - a + 5. Let n be d(5). What is n*f(k) + l(k)?\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/129 or -0.6977?\nAnswer: -0.6977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26870.42 days to hours.\nAnswer: 644890.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*41\/((-175890)\/(-44)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110558 divided by 4?\nAnswer: -555279\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Calculate the common denominator of ((-1)\/(-5))\/(6\/51) and f - (-18)\/(-10) - 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 10227*p + 10222*p = -165, -5*p + 65 = -o for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168319 is divided by 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65547 and -8?\nAnswer: -524376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**6\/780 + a**4\/52 + 2*a**3\/39 + 3*a**2 + 4. Let u(l) be the second derivative of x(l). Find j such that u(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149489 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -3.4. Let c = -4.008 - 5.992. Sort r, c, -4 in decreasing order.\nAnswer: r, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5382? (a) 2 (b) -2\/7 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3494 is divided by 97?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1493 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + (-4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -548, -565, -592, -629, -676?\n\"Answer: -5*v**2 - 2*v - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78274121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 837989 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p**3 + 0*p**2 - 1\/3*p**5 + 0*p + 0 + 2*p**4 = 0. Calculate p.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.1069. What is f rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let x(i) = -i**3 + 5*i**2 - 4*i + 4. Suppose o + 5*h = 14, -5*o - 5*h + 13 = -17. Let b be x(o). Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3015 - -2357.9015. Which is smaller: -0.1 or l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1178 + -1879. Is q less than or equal to 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 648163674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**11*p)**(-3\/38)*(p**(5\/2)\/p)**(1\/4))**(5\/8) assuming p is positive.\nAnswer: p**(-435\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2 - 2) + (-8 - -10) - (-323 + 356)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 0*h**3 - 4 + 6 + 3*h**3 + h**4 - 2*h**4 - h**4 + h**4 + (-1 + 1 - 2*h**3)*(3*h + h - 2*h).\nAnswer: -5*h**4 + 3*h**3 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -0.090787899.\nAnswer: -3.090787899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*y - 77 = -642*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046507 to 7 dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 88955595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + (-25 + 27 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 6:08 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 50690313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703434473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 813514779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)\/(p**(-23)\/p)*p**12*p**(-1\/25)\/p assuming p is positive.\nAnswer: p**(474\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*v + 5, 7*v = 3*v + 4. Suppose u = -c + 4*o + 9, c + 2*c - 1 = -o. Calculate the highest common factor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.68 + -0.68. Let w = -0.5 - -0.3. Which is the smallest value? (a) v (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 574, -145, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*n**3 - 111*n**2 + 81*n + 39.\nAnswer: -3*(n - 1)*(n + 13)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Let w be (2\/(-5))\/(1\/5). Is w > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 167*n**3 - 22140*n**2 - 23*n + 22156. Let t(h) = 105*h**3 - 14760*h**2 - 15*h + 14770. Let p(z) = 5*d(z) - 8*t(z). Find q such that p(q) = 0.\nAnswer: -1, 1, 1476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 493b373 (base 12) to base 2\nAnswer: 110110011010101101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24083524 rounded to four decimal places?\nAnswer: -0.2408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 10:19 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 + -4012124?\nAnswer: -4013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -919, -2882, -5867, -9874, -14903, -20954, -28027?\nAnswer: -36122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1424287476.\nAnswer: 2, 3, 4395949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 - 45*z**2.\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -250.66 + -236?\nAnswer: -486.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v. Let s(p) = -6*p. Let o(z) = -2*b(z) - 5*s(z). Let a(g) = -2*g**2. Give o(a(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 351*v - 252*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22809535244 - 3704?\nAnswer: 22809531540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 1\/4, -1485, 0.5, -3, 5 in decreasing order.\nAnswer: 5, 0.5, 1\/4, 0.14, -3, -1485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.02, 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2\/4 - 4*u + 3\/4 = 0. What is u?\nAnswer: 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 - 6123216*m + 4686721772832 = 0.\nAnswer: 1530804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133842 is divided by 16659?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4070*k + 44412 - 195002 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, x: 4, u: 13}. Give prob of sequence xxrx.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6238 + 4.173792. Let p = -0.59 + 0.14. Let w = s - p. What is w rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6803943?\nAnswer: 3, 2267981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9913417 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36921 - 24112. List the prime factors of c.\nAnswer: 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {i: 2, u: 4, e: 5, n: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 77159 = 49*w - 52*w, 0 = 5*w + 3*u - 128571. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46669 + 10.\nAnswer: -46659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 84?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1213893 - -1?\nAnswer: 1213894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -15. Let c = v + -6. Solve -2*t + c + 1 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11021977 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3498893*d**3*z**3 - 17*d**2*z**3 - 19029*d**2*z + 2*d*z - 4*z**3 wrt d.\nAnswer: 20993358*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-442)\/(-663)*3\/5*(-5)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4 - -1 - 63\/(-6). Let s = j - 7. Find the third derivative of -16*h**2 + 2*h**6 + 6*h**s - h**6 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*m + 269 = -226 - 405 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(2\/3)*v*(v\/(v**(-6)*v*v))\/v)\/((v\/(v**(-1\/4)*v))\/(v*v**(-3)*v)) assuming v is positive.\nAnswer: v**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4316630*c*s**2 + 14013*c*s + 2*c + 3*s + 7 wrt s.\nAnswer: 8633260*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -104529 divided by 26\nAnswer: -104529\/26","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/9*-5*(-31)\/(-310)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34\/1 + (1 - -2). Suppose 167 - g = q. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2135291, 2135264, 2135207, 2135114, 2134979, 2134796?\nAnswer: 2134559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*(-3)\/(-12)*10. Let x = -30 - -9. Let f = o + x. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4771 - 42860\/9. Let z = o - 29\/9. Let j = z + -62\/9. Which is the closest to 0? (a) j (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1. Suppose -3*v + 20 = 8. Let k(z) be the second derivative of -z**3\/3 + 7*z**2\/2 - z. Let u(d) = v*i(d) - k(d). What is u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 14*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -14*d + 125. Calculate the smallest common multiple of d and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8074*n - 327*n**2 - 67*n**2 - 8074*n.\nAnswer: -394*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -172 and -1200\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 16 = -3*f, -10*q + 5 = 16*f - 13*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-31 + 23 - -11)\/(5\/6) and 101\/5922.\nAnswer: 29610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3*v + 5 - 9.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/7, 0, -4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = u + 6*u. Suppose 5*s + r - u*r - 6 = 0, s - 4*r + 2 = 0. Find the third derivative of 3*i**4 + 7*i**s + 0*i + 10*i**2 + 0*i wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204318 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/29, -3, -3\/7, -16\/851, -4 in ascending order.\nAnswer: -4, -3, -3\/7, -1\/29, -16\/851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*q**2 + 34*q - 6.\nAnswer: 2*(q + 3)*(6*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -162*r + 147. Let g be h(-4). Suppose g + 196 = b. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5 = -10 - 5, 72*d + 1026 + 1876 = -291*b + 70*d for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815270400 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 10, -4 = -4*x - 28*u + 24*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - 0.81. Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 5, b: 5}. What is prob of sequence bggc?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/15 and 65\/219?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 14*v + 1764551 = 8355988. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 297.1 and 1008.\nAnswer: 1305.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/6 - 3)\/(1\/(-40)). Calculate the greatest common divisor of 80 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*z - 167, -j - 200 = 5*z + 237. Let n = z - -90. Suppose 763 = n*y - 735. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 - -132. What is the greatest common divisor of y and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957130006?\nAnswer: 2, 7, 68366429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -7, 647?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(2*sqrt(5)*6).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4100\/1367 + -39 + 6 + 30. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 - 1) + (-1163 + 1112 - (2 + -71))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 783 - 289*m + 115 - 289*m + 871*m - 295*m to g + s*m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 16. Let b be m(8). Suppose b = -o + 10. Solve -4*v**3 - 4*v + 4 + 5*v**2 - 8*v - 6*v**o + 13*v**2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, r: 2}. Give prob of picking 1 r and 3 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-58)*(-7)\/(5 + -12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0565 less than -994943513?\nAnswer: -994943515.0565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408d3 (base 14) to base 4.\nAnswer: 211330121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -224 - -225. Let s be (1050\/4 + l)\/(12\/24). Round s to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**4 + n**2 + 42621*n - 10 - 2*n**3 - 42621*n + (1 - 2*n**3 - 1)*(2*n - 4*n + 0*n).\nAnswer: -4*n**4 - 2*n**3 + n**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:18 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 162904*s**3 - 10*s**2 + 71*s + 300. Let g be x(-4). What is g rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.4586 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjkj when four letters picked without replacement from kkkkjkkkjkjkjkkj?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6821612900 - -0.07?\nAnswer: -6821612899.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*f - 10, -2*f - 19 = -m - 2*m. Suppose s = 7 - m. Calculate the least common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42124.51 grams?\nAnswer: 42124510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmttmkhattttthtktttt. Give prob of sequence mmht.\nAnswer: 13\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**(-1))\/i*i)*i*i*i)**(-1\/27)\/((i**(-1)\/i*i)\/i)**(-38) assuming i is positive.\nAnswer: i**(-2054\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**2 - 7*l + 28. What is s(3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -0.1 (c) -2 (d) 27 (e) 5 (f) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 2. Let p(f) = -f**2 + 8*f - 9. Let j be p(6). Let g(o) = 2*o + 1. Let y(h) = j*g(h) + 2*u(h). What are the prime factors of y(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 5*z + 4. Give i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/30 - b**4\/6 - b**3\/6 - b**2. Suppose 4*h = -3*i - 2 - 6, -2*i + 5*h + 33 = 0. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13542)\/549*(-6)\/4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 267, -10\/211, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/897)\/((-404)\/10504)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103760787 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*l**3 - 15*l**3 + 88*l - 36*l**3.\nAnswer: l**3 + 88*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7683, 15453, 23313, 31263?\n\"Answer: 45*k**2 + 7635*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9980.\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-55)\/(-50) - 1\/2)*-1. What is the nearest to -1 in x, -10, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12399429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2488, -4970, -7452?\nAnswer: -9934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/3 - 1696502*i\/3 - 719529759001\/3 = 0. Calculate i.\nAnswer: -848251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -d1241c (base 14) to base 12\nAnswer: -243400a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/120 - g**5\/60 - g**4\/8 + g**3\/2 + 4*g**2. Let f be a(5). Suppose 4*m = -36 + f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13136.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 531 (base 7) to base 5\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/120 + 2*o**5\/15 - o**4\/2 - o**3\/2 + 3*o**2 - 194*o. Let t = -41 - -32. What is n(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 4*s**2 + 3*s. Let k be g(-2). Let c be ((-10740)\/8)\/15*2\/1. Let d = -176 - c. Solve 5*x - 3*w = -d, -5*x - k*w + 5 = -7*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -3*r - 12. Put 1, 2, 5, r in descending order.\nAnswer: 5, r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let l be d(2). Suppose 6*c = l*c. Suppose -i + 181 - 54 = c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 - 108. Let a = 67 - r. What is the remainder when 93 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5164313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -7*u + 38, 5*u - 530105 = 2*c - 530074 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(125) - sqrt(125))**2 - sqrt(125) - sqrt(125)) + -4.\nAnswer: -10*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242 in -2\/15, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 2623768.\nAnswer: 5\/655942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88801 + 890887\/10. Let u = 288 - v. Is 0 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**2 - 4*a + 9*a**2 - 16*a**2 + a as c*a**2 + t + h*a and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/5 - 22906*n**3\/5 + 34980516*n**2 - 89048730510*n + 89013754575 = 0 for n.\nAnswer: 1, 7635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 - 3*z + 9. Calculate a(8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -76.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351594 is divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + -11377?\nAnswer: -11334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**5\/u*u*u**(-1))\/(u**(-7)*u**(-2\/5)\/u))\/((u**1)**(-9\/2)\/((u*u**(-5\/2)*u)\/(u*u**(-3)*u*u))) assuming u is positive.\nAnswer: u**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -104295660 divided by 6\nAnswer: -17382610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/120 - x**4\/12 - 5*x**3\/12 + 13*x**2. Factor t(j).\nAnswer: (j - 5)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*v + 39*v = -586 - 145. Solve v*y - 152 = -16 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 204*l**2 - 123*l**2 - 110*l**2 + 0*l + l**2 + 0*l + (-l + 0 + 0)*(2*l - l + l) + 2*l**2 - l + l - 3*l**2 - 4*l + 4*l.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + 17566*w**2 + 140646*w - 88. What is p(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -5*b - 4*a + 294, 0 = 2*b + 4*a - 72. Calculate the greatest common divisor of b and 1219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00186283 - -0.00217. Round s to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 45*r - 23 = 44*r, -r + 3 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5209 is divided by 93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130023 + -2300?\nAnswer: -132323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-14)*28\/112. Let y = -188 + 192. What is the nearest to y in w, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 4. Let i(g) = -g**2 - 2*g - 3. Let m be i(-2). Let j = 2 + m. Put v, j, 4 in decreasing order.\nAnswer: 4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/10 - 45955\/(-175)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Let n = j - 24. Let s = n + 24.84. Round s to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1*1\/5). Let g be (3 - w)*-2*1. Solve -18 = g*t - 5*h, -4*t + 0 = 3*h + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 0*q)*(1 + q**4 - 1) + (-q**3 + q**3 + 2*q**3)*(-4*q**2 + 4*q - 4*q).\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c = 12*c + 9*c + 117 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050\/15 - (32 - 41 - -10)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*l + 30. Suppose l = 2*h + h. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 625 + -619. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 29681, -1.\nAnswer: -1, 2\/7, 29681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-6))\/(1*(-6)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 102. Let c = -35 + o. Solve 5*t + 25 = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-40)\/(-28)) + (-117)\/(-21) + -6. What is the second biggest value in l, 3, 1.28, -0.5?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -19 - (-1 - (-5 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = 6. Let y be 2 + (4 - 4) + 14\/(-2). Suppose 8 = 3*i + 2. Put i, q, y in ascending order.\nAnswer: y, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48514.59 hours in days?\nAnswer: 2021.44125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005277 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 + 58*m**2 - 30*m + 165. Determine l(-20).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z. Let p be r(1). Let j(n) = n**3 - 15*n**2 + 3*n - 10. Let l be j(15). Suppose -7 = -p*m + l. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 5, -1, -607, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 144627.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*c + 673 - 113. Let y be 12\/(-3)*(0 - 28). What is the greatest common factor of y and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-3) + 2\/3. Suppose -8 = p*f + 7. Let i be (5\/(f\/2))\/(-9). Is 1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 2*m**3 - 3*m**3 - 3*m**3 + 6*m**3 - 2*m**3 + (-3 + 3 + 2)*(0*m - m**3 + 0*m) - 88420*m**3 + 23960*m**2 - 7986*m**2 - 7989*m**2 - 7985*m**2.\nAnswer: -88419*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9 - -13) + (11 - (3 - 7))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-651)\/(-21) + 1*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11194, -11189, -11182, -11173, -11162, -11149?\nAnswer: -11134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 84 = -4*s. Suppose 4*u + s = 11*u. Solve 2*j - u*x - 10 = -2*x, -1 = -5*j - 3*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 40 + 6. Let i(f) be the first derivative of f**3 - 2 - 3\/4*f**4 + 0*f + 3*f**j. Let i(n) = 0. Calculate n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210*x**3 + 203*x**3 + 3*x - 2 + 3*x**2 - 2*x - 414*x**3 + 13*x**2 to o*x + r*x**2 + z*x**3 + w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*m = -2268, o = -3*o + 5*m + 2295. Is o a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 + 3 = 0. Let f(j) = 85*j + 1882. Let d be f(-23). Put k, -5, d, -3 in increasing order.\nAnswer: d, -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven tenths of a hour?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13211 + 13235. Solve c*s - 251 = -83 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q**3 - 8*q**2 - 847*q + 2529. Determine n(3).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -303203 (base 4) in base 11?\nAnswer: -252a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t*z**2 - 9957*t*z + 2*z**2 - 14457*z with respect to t.\nAnswer: -2*z**2 - 9957*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 301308 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**5\/70 - s**4\/42 - 16*s**3\/21 + 16*s**2\/7 + 15*s + 30. Let z(h) be the first derivative of p(h). Solve z(b) = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q**2 + 0*q**2 + q**2)*(-122*q**2 - 435*q**2 - 321*q**2 + 6*q - 6*q) in the form j*q + f + t*q**4 + b*q**3 + p*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -43, -39, -33?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - (-2 + 0) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*8207.\nAnswer: 820.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639887 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 19201*m - 77271. Determine l(4).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 3*x + 7. Let k(l) = -2*l**2 + 48*l - 4. Let i be k(24). Give d(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 25 + 2)*(0*x + 0*x - x) + (5*x - 3*x + x + (-3*x - 2*x + 6*x)*(1 + 0 - 2))*(9 - 5 + 5).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 44*a - 240. Let w(m) = 2*m**2. What is q(w(u))?\nAnswer: -4*u**4 - 88*u**2 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-80)\/(-15)*(-63)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85*q**3 + 444*q**2 + 657793 wrt q?\nAnswer: 255*q**2 + 888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:27 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - -29. Suppose -q - 30 = -18*d. Solve -6*a + d = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*r + 6, -u = 3*r - 3*u - 2. Suppose 0 = 3*h + 2*n + 3*n + 32, 2*h - 2*n = 0. Let l(t) = -2*t. What is the smallest common multiple of r and l(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(85)\/sqrt(5) + 0 + -5 + (sqrt(153) - (3 + sqrt(153))))**2.\nAnswer: -14*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 80*f - 918. Give d(11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6956 - -6966. Solve i*d = -17 - 33 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05780615 - -976.\nAnswer: 976.05780615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2123116 divided by 4\nAnswer: -530779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 154808.6 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + 23 - -20) + -1 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203676197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19700950739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -0. Suppose 25 = 5*w - 5*r, -l = -w + 2*r - 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -1522510?\nAnswer: -1522463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5 - 35294*u**4\/3 - 23542*u**3\/3 + 58822*u**2\/3 + 15688*u = 0.\nAnswer: -1, 0, 4\/3, 5883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -9 - (1 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + l**2 + 2*l**2 - 5 + 9*l. Let a be w(8). Factor -22\/9*z**a + 8\/9*z**2 + 0 + 4\/3*z**4 + 2\/9*z.\nAnswer: 2*z*(z - 1)**2*(6*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1288, 5445, 12382, 22105, 34620, 49933, 68050?\nAnswer: 88977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.893289 months in years?\nAnswer: 0.57444075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 3 + h**2 - 3*h**2 - 4*h**2.\nAnswer: -2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -223, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r\/r**2*r)))*r)\/r)\/(((r*r**(3\/8))\/r)\/r)*(r*r*r*((r*r\/(r**(2\/9)\/r))\/r)\/r*r)\/r**(-2\/11))\/(r**7\/r*r\/(r**8\/r))**(3\/7) assuming r is positive.\nAnswer: r**(5215\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1088 and 4678944?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*p**4 + 73*p**3 - 2511*p**2 + 2*p + 4.\nAnswer: 360*p + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = 2*k. Let b(t) = t**2 - 5*t + 3. Let w be b(k). Let s be -1 + 18 + (2 - w). Solve -s = -2*h + 6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*2*(-2)\/(-3). Calculate the common denominator of 2\/(-18)*58\/k and (-12857)\/(-3870) - (18\/(-10))\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -55 (c) 29\/4 (d) -0.5 (e) -3\/8 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4833, 9717, 14597, 19473, 24345?\n\"Answer: -2*n**2 + 4890*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7672.91 + 7535.9041. Let o = b - -137. What is o rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 3901 = 19. Calculate the highest common divisor of 72 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26542*-0.1\nAnswer: -2654.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 5, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 586?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/6*9 - 3\/(-30)*-95. Let n(t) = -t**2 - 9*t - 6. Determine n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -3, -8 in descending order.\nAnswer: 4, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10) + ((-459)\/(-45) - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 619 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 14*d + 78 = 0. Let u(l) = 5*l + 9. Let a(m) = 11*m + 19. Determine d*u(r) + 6*a(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1135 - 477. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or -25?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 11:08 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/5)*p)\/(p\/(p*(p\/((p\/p**(2\/13))\/p*p)*p)\/p))*p\/(p*p**28\/p)*(p\/(((p*p*p**5)\/p)\/p*p))\/p*p assuming p is positive.\nAnswer: p**(-2083\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 + 4*g**2 + 61*g + 140. Calculate o(-4).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 7. Let s be y(-10). What is the second derivative of -1 - 2*o**s + 5 - 4 + 8*o wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101222 - -20?\nAnswer: 102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28*x. Let v(l) = 5*l - 4. Let i(s) = 9*s - 7. Let k(q) = -4*i(q) + 7*v(q). Calculate -24*k(f) - n(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -232543*x + 64156.\nAnswer: -232543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2942 - h + 640 + 815 - 1919.\nAnswer: -h - 3406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and 0.124.\nAnswer: 0.03472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10 - -1)\/((-288)\/(-240))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1954459*4\nAnswer: -7817836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (1\/(-3) + (-28)\/(-21)). Let f(g) be the first derivative of 0*g**2 + 3\/5*g**5 + 2*g - i + 0*g**3 + 0*g**4. Find the first derivative of f(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2753 = -o - 7*a, o - a + 5*a - 2744 = 0. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 bigger than -324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 - -5 - (0 + -20). What is the first derivative of -6*p - 18*p - g*p + 49 wrt p?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 - 27*v. Let y(a) be the first derivative of a**2\/2 - 7292. Determine y(b(q)).\nAnswer: 6*q**2 - 27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - (-26)\/(-10). Let x be (l - -6 - 5) + 14. What is the remainder when 67 is divided by 202\/x + (-11)\/(-66)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:24 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 at most -75054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*z + 1 - 9 = 0, 2*z = -5*w + 18. Let h(l) = 5*l**2 + 6*l**2 - 8*l**w. Let p(n) = -2*n**2. Give h(p(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (123 - 23) + (11 - 41).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 152.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 4*h**2 + h + 2. Give t(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + c + 2)*(-3 - 2*c + 3)*(4 - 3 + 1) - 87*c + 87*c + 121*c**2 in the form h + o*c**2 + u*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192772484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 0.44, 0.4, 0.04?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*g + 11, 0 = 143926*g - 143921*g - 3*i + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**3 - 3\/2*t**2 + 6*t + 2 + 1\/4*t**4. Let i(x) be the first derivative of s(x). Factor i(k).\nAnswer: 3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77459+0.2\nAnswer: 77459.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5425078 decades to centuries.\nAnswer: 0.05425078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*24\/18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 80606433 from -8406244.\nAnswer: -89012677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/33129299 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3775 and 120?\nAnswer: 90600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(3*(1 + 5 + sqrt(612)) + -2*(sqrt(612) - (sqrt(612) + 2))*-3))**2.\nAnswer: 38880*sqrt(17) + 997920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -68.97. Let y = 11.83 - f. Let o = 13 - y. Which is the closest to -1? (a) 2\/3 (b) o (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -961 - -960.7. Let x be 6 - (6\/1)\/3. Suppose x*d = 5 - 21. Is w at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64\/15 - -1442\/345. Which is smaller: 0.03 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 12, 1.\nAnswer: -2.1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -969 + 944. Let v = 12 + 8. Let q = v + s. Put 0, q, -2 in decreasing order.\nAnswer: 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10491 + 16285. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013461493 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 - (24 - 29) - 23) + -21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28573809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22047 + -44093\/2. Let o(d) be the second derivative of -34*d + 0 - v*d**2 - 1\/6*d**3. Let a(m) = -3*m**2 - 7*m - 6. Give -a(x) + 5*o(x).\nAnswer: 3*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1252)\/(-5321))\/(4\/170). Let a(m) be the second derivative of -1\/12*m**4 - 6*m**2 + 1\/6*m**3 - o*m + 0. What is a(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j)*(-3 - 2*j**2 + 3) + j**3 - 3*j**3 + j**3 - 3*j**3 + 3*j**3 + 2*j**3 + (5*j**3 - 13 + 13)*(4 - 1 - 1).\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/(-18)*(-2)\/(2\/(-3)). Suppose 0 = 7*u - j*u + 2. Solve 4*f + u = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451355 (base 6) in base 7?\nAnswer: 215423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.554 rounded to two dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.739 - 8.728. Let b = i + -0.011. Let s = 10 - b. Sort 2\/15, s, 5 in descending order.\nAnswer: 5, 2\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -5*a + 4, -x - 77*a = -81*a + 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 507471117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a year in months?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625906 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 889*l - 193831. Determine n(218).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 139. Suppose z = -c - 17 + 20. Suppose c*j + w - 671 = 0, -2*w - 351 = 4*j - 1247. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8516 = 31*q + 6*q - 6851 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011022101 + -10100?\nAnswer: -1011102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/1581823?\nAnswer: 5\/1581823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.41 - 0.01. Let y = u - 2.4. Let f(h) = -5*h**2 + 63*h + 21. Let v be f(13). Which is the nearest to 0? (a) y (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 4, 2 in descending order.\nAnswer: 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -2, 1246, 16, -0.3, 2.7?\nAnswer: 1246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117464981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2 + 1646 - 4771 - 2829 + 81*o**3 + 3*o**2 + 2*o wrt o.\nAnswer: 243*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -26*r - 6. Let q(g) = 8*g - 5. Let p(k) = 7*k - 3. Let a(z) = -3*p(z) + 2*q(z). Suppose -2*t + 32 = -0*t. What is t*a(l) - 3*x(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7*b*b*b**(-13))\/(((b**(1\/12)*b)\/b)\/(b\/(b**(-21)\/b))))**(-48) assuming b is positive.\nAnswer: b**(-908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 16. Suppose -3*x = -2*f + v - 3, -34 = -5*f - x. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 12:44 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.11. Let t = -0.15 + z. Let p = 2\/31 - -21\/155. What is the closest to t in p, -0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, x: 11}. Give prob of sequence bb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h + 4. Suppose -3*s - 21 = 3*u, -5*s - 32 = -s + 5*u. Let z be c(s). Let t be -5*(-14)\/(-105)*(-6)\/(-4). Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32185 - -63417. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 430696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 1384*s - 1373*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1100344314 - 110?\nAnswer: -1100344424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 + 5*f + 7. Let z be j(-6). Let a = -61 + z. What is the remainder when 70 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 6*a**2 + 4*a - 2. Let b = -11 - -6. What is r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -28. Calculate the remainder when 26 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69796 + 137196. Round f to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23152 smaller than 22980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w + 138. What are the prime factors of (-10)\/(-25) - w\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0047402 to 5 decimal places.\nAnswer: -0.00474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-29)\/(-3))\/(2\/(-6)). Let x = -20 - d. Let t be (-6)\/x + 83\/3. Calculate the greatest common divisor of 81 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Let o = 54 + -48. Suppose 0 = 2*m - 3*m - 2*w + 14, 4*m = 5*w - 9. Solve 0 = j*k - s - o, -k + m*s - 2 = 2*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {t: 13, r: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*z - 2, 2*a = a + 5*z + 23. Let y(p) = p**3 + 4*p**2 - 2*p - 13. Let o be y(-4). Let b(u) = 13*u. Let v(x) = 7*x. Determine a*b(q) + o*v(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 8\/7, 30\/31, 2\/7, 340, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7218113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -1317.\nAnswer: -1317.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/41)*c*c\/c**(-14\/13)*c*c*c**17\/(c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(34690\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose -25 = k*j, -5*g = -2*g + 3*j - 117. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*67\/(-402)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -1201351?\nAnswer: 13214861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4637, 18589, 41847, 74405, 116257, 167397, 227819?\nAnswer: 297517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218031873?\nAnswer: 3, 61, 1191431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1520650 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247916 is divided by 1305?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*a**3 + 1 - 1 + 773*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9169 and 172409.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 522?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.023236141 - -0.023258. What is d rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11366887140 and 442.\nAnswer: -11366886698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/28 - -2 - 726\/(-14). Let s = -37 + f. Solve -3*c + 5*c + 5*a - s = 0, 0 = 5*a - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17091013999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 471778231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55 (b) 9 (c) 2 (d) -1\/46 (e) -0.5 (f) -19 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1929419*d - 1929574*d - 23715 for d.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 479430*d. Let j(m) = 8*m**2. Calculate p(j(g)).\nAnswer: 3835440*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 34*l**2 + 58*l - 559. Determine t(-36).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 44 = w, -w - 192 = -5*w - 4*m. Suppose -w = -7*x + 2*x. Is 7*(-4)\/(-140) - (-45288)\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -6) + -45 - (207 + -213)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 4335?\nAnswer: -4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344129*j**2 - 172079*j**2 + 16 - 172055*j**2.\nAnswer: -5*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128238192?\nAnswer: 2, 3, 890543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/5)*a*a**(-1\/60)\/a)\/(a**12*a*a**1\/a) assuming a is positive.\nAnswer: a**(-709\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -24876*b - 2537355. What is r(-102)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 110?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0208 and 0.0683.\nAnswer: 0.00142064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64243 - b7?\nAnswer: 64159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -6491.\nAnswer: 2\/6491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13008.28203 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -464.194657 to 2 dps.\nAnswer: -464.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-12))\/((-12)\/(-18)))\/((-3315)\/65).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -120. Let c be 62\/155 + 4928\/5. Suppose -12*n = -1034 + c. Calculate the highest common divisor of n and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111563411 >= -111563411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 243\/23 at most -481\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 404380093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/6)\/(18\/(-600)*-5))\/((-144)\/72)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(1224\/(-425))*3\/5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 44 (b) -2\/3 (c) 86 (d) -12 (e) 73 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74243, -587964, -1982353, -4697744, -9174471?\nAnswer: -15852868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-48))\/(1\/6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(598\/39*3)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 39. Suppose -4*i - a + 56 = 0. What is the greatest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 24*c - 237. Let y be s(10). Solve -3 = 3*a + y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 2235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-3)*91*30\/9100.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**6\/1260 - m**5\/210 + m**4\/84 - m**3\/2 - 4*m. Let g(f) be the second derivative of y(f). Solve g(j) = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 3\/8, 265, -3, 23\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*f - 9*f**4 + 1405*f**2 - 1405*f**2 to the form c*f**2 + h*f**3 + g*f + q + p*f**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = 0, -10 = -2*m - 3*h + h. Suppose -q = 0, -2*q = -5*s - 0*q + 55. Suppose -s = -m*p + 1. Is p smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 s when three letters picked without replacement from {j: 3, c: 1, s: 1, i: 10}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2557*j = 2548*j + 81 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42893.\nAnswer: 59, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89.9437 - 0.0563. Let x = 90.3 + i. What is the nearest to 12 in -0.3, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:10 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*x - 2362 = -3*j, -5*j = -5*x - 2965. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109637 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9300 is divided by 77.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -701*a + 690*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (36\/7440)\/(138\/1840)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*k - 12 = 0, -51*k = -3*i - 54*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 3*f**2 + f. Let u be z(-2). Solve 4*o + 20 = 4*s, -u*o - 7 = s - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4165, 3, 0, 5 in decreasing order.\nAnswer: 5, 3, 0, -4165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (sqrt(3159) - sqrt(3159)*-4))\/(-2*sqrt(9)\/sqrt(3) - sqrt(3)) + 5.\nAnswer: -46*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-24))\/((-10)\/6 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1407875 and -17\/506835.\nAnswer: 12670875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -2. Let h(j) = -j**3 + 7*j**2 - 5*j - 6. Let m be h(d). Suppose -i - 5 = m, 0 = -4*z - 9*i + 4*i + 619. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -79*y - 40. List the prime factors of g(-6).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 861, 860, 859, 858, 857, 856?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.1 or 3246?\nAnswer: 3246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**4 - 5*s**4 - 7*s**4)*(2 + 2 - 2) + (7 + 2 - 19)*(-2*s**3 + s**4 + 2*s**3).\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = 2758. Let t(y) = -8*y**3 - 8*y**2 - 4. Let l be t(6). Let m = g - l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o**2 + 163*o + 154. Let a be f(-16). Calculate the highest common divisor of 1537 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24237409*j**3 - 1793183*j**2 + 4*j wrt j.\nAnswer: -145424454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*u**2 - 2*u**2 + 2*u**2 to the form h*u + x*u**2 + b and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22918301.\nAnswer: 7, 89, 36787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 17*f - 15 = v, -v + f + 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61626447793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*y**4 - 1350799*y**3 + 42190940 wrt y?\nAnswer: 8*y**3 - 4052397*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:51 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 175. What is the remainder when r is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -0*l - l - 4, 3*c = -5*l + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00086424 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1 + 1*(-3)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 6. Let p(k) = -7*k. Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2798576075.\nAnswer: 5, 89, 1257787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + ((sqrt(468) + -2)**2 + sqrt(468) - ((sqrt(260)\/sqrt(5))**2 - sqrt(13))) + ((sqrt(637) - (sqrt(637) + -4 + sqrt(637)))*6*4)**2.\nAnswer: -32273*sqrt(13) + 376542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7370609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + ((-30)\/5 - -3). Suppose 3*h = -5*s + 20, 4*s - 7 = -2*h + 7. Suppose h*l - i = l. Sort -2, l, -4 in descending order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12278 and -43\/56?\nAnswer: 49112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 47867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17219 and 245555?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 2\/9, -37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.04, 0.06, 3.3, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -41292 divided by 37\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -4, -13, -26, -43?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81169.14 millilitres in litres?\nAnswer: 81.16914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - o = 16, 2*o + 7 = -0*q - q. Let w be (-6)\/(-10) - (-2)\/5. Let y = w + q. Is y not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1176\/(-2646))\/((-3)\/((-54)\/(-4))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**7\/42 + b**5\/30 + 10*b**2. Find the third derivative of s(a) wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(119)\/(sqrt(21)\/sqrt(3)) - sqrt(17)))**2 + ((sqrt(136)\/(sqrt(8)*-2))**2 - (sqrt(612))**2*-5).\nAnswer: 12293\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Suppose 12 = n*v + 2. Suppose v + 4*k**3 - 7*k**3 + k + 2*k - 2*k**2 = 0. Calculate k.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-10) - 1 - 255\/(-50). Let c = l - 5. Suppose 1\/2*o + c*o**3 + 0 + o**2 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149.32 - -3.32. Let b = m + 144.22. Which is bigger: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8009*n**2*r**4 + 2*n**2*r - 5*n*r**2 + 10*n*r - 12*n + 22*r**5 + 178*r**2 wrt r.\nAnswer: -192216*n**2*r + 1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 2. Let n = 12 + -6. Let w = -3 + n. Let j be y(w). Solve -2*i + j = r - 3*r, -i = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/5 - 203284*j\/5 - 203286\/5 = 0.\nAnswer: -1, 101643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 0 + 0)*(-19*p - 158 + 158) - 3*p**2 + 3*p**2 - 6*p**3 to a*p**2 + v + t*p + g*p**3 and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 831 = -5*m. Let j = 275 + m. Let o be 2\/(-4) + (-100)\/(-8). Put -5, j, o in decreasing order.\nAnswer: o, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 2*h - 5. Suppose 3*l + 11 = d, l - 5 + 10 = d. Let o = 236 + -162. What is the remainder when o is divided by p(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.00000123 + 44. Round c to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 738, 2776, 6812, 13512, 23542, 37568?\nAnswer: 56256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87517.\nAnswer: 87517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100020121000 + 11001202?\nAnswer: -100002112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -739\/2 + 381. Suppose 0 = -4*k - 5*v + 3697, 3*k + 2*v + 4580 = 8*k. Let p = k + -5483\/6. Calculate the common denominator of b and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {m: 10, b: 2}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:20 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ommo when four letters picked without replacement from oyogooggzgomzzmomoz.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -61891200 divided by -128\nAnswer: 483525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, c: 11}. Give prob of sequence ccjc.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112432562?\nAnswer: 2, 11, 941, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-36) - (-9)\/18. Let l = 1 + -7. Put l, 3, j in increasing order.\nAnswer: l, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 73*x + 20929. Give v(-287).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0.3, 5\/17, 0?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10*3\/(-12))\/(7\/(-210)*-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/30)\/((-8)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 3*m - 3*m)*(-48*m + 12*m - 8 + 6).\nAnswer: -36*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(700) - sqrt(700)) + 4.\nAnswer: -40*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -5*a**8\/66 - 87*a**7\/385 - 41*a**6\/330 + a**5\/6 + a**4\/11 - 4*a**3\/33 - 4*a**2. Solve w(i) = 0 for i.\nAnswer: -1, -2\/5, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*l - 42 = 244, -i = l - 95. Let c = i - 87. Solve 4*d - 15 = -c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -985064 divided by 118.\nAnswer: -8348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n - 28303 = -77*n - 204*n for n.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 15. Let m = 536 - 504. Suppose 12*i - 8*i - m = -5*f, -5*i - 5*f = -45. Calculate the remainder when w(10) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((294\/12)\/(-49))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 111 = 3*j - 4*u, 2*u = j + 37. Let h = -31 - j. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 3*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -2*k, 5*u + 3*k + 8 = 2. Is u less than or equal to 193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11778, -94126, -317766, -753384, -1471666, -2543298, -4038966, -6029356?\n\"Answer: -11781*m**3 + 40*m**2 - m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-140)*(-25)\/40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 + 211. Let g be 12952\/56 - 4\/z. Calculate the greatest common factor of 66 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1 + (4 + 6 - 3)*(-2 - 2 - 2))*(t**3 + t**3 + 0*t**3)*((2 - 4 + 1)*(1 + 0 - 3) + 1 - 1 - 3).\nAnswer: 86*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1331001600 to the nearest one hundred thousand.\nAnswer: 1331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 2 + 11 = -11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/90 and 67\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 12*t**2 - 11*t. Let o be r(11). Suppose o = -0*y + y - 15. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*w**2 + w - 62*w**2 + 20*w**2 - 1 to the form d*w + b*w**2 + p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 13, -5, -2 in descending order.\nAnswer: 13, 7, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 47 + 59 = 0, -5*l + 2*r + 318 = 0. Suppose -4*n + 2*n + 26 = 0. Suppose y - 5*s - n = 0, -s = -4*y + l + 9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/30 + 17*p**4\/12 - 10*p**3 + 194*p**2. Factor y(s).\nAnswer: -2*(s - 15)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u + 31. Let a be b(-9). What is the third smallest value in 5, -4, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 + 15\/(-6). Let t(v) be the second derivative of -v**3\/6 + v. Let a = 260 + -258. Let i(h) = h**2 - h. Determine a*t(l) + d*i(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 1}. Give prob of sequence ty.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 0 = x - 2*w, -4*x + w - 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091649061 to 5 dps.\nAnswer: -0.09165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5.2 (b) -14 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (1*sqrt(1700))**2 - (-1 + sqrt(68) - sqrt(17) - ((1*sqrt(68))**2 - sqrt(68)))).\nAnswer: -12*sqrt(17) + 7096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*w - 25. Let u = w + 52. What is the lowest common multiple of u and (-14)\/(-3)*(15 + -3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28\/(-144) + (-8)\/(-18) - 4464\/(-64) is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 21*t + 1. Let p be b(11). Suppose -14*a + p*a + 75 = -5*n, 0 = 3*a - 4*n - 95. What is the lowest common multiple of a and 105?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 6. Let t(s) = -13*s - 17. Calculate 17*h(p) + 6*t(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 680.976 and 76865451.\nAnswer: 76866131.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/3 + 36*q**4 + 956*q**3\/3 + 2200*q**2\/3 + 658*q + 620\/3 = 0. What is q?\nAnswer: -5, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21822.5 rounded to the nearest 100?\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = 3*z, o = -z + 3. Suppose -5*m + o*m - 15 = 0. Is 32 - 2 - m\/3*1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2364*b + 573*b - 353*b + 74*b + 1006*b in the form c + z*b and give z.\nAnswer: 3664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -349 + 348.9591. Let z = x + 24.9409. Let l = z - 25. What is the third smallest value in -0.4, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11178*w = 5*m - 11176*w + 19, -3*m + 4*w + 77 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 58.134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260 or -262?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 2196?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44\/9, 67, 0, -0.4, 2109?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**2 - 12 + 363*q**3 - 181*q**3 + 53*q - 183*q**3 - 27*q. What is n(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**2 - 8*s - 7. Let v(o) = 5*o**2 + 4*o + 4. Let x(h) = -5*v(h) - 3*z(h). Suppose n + 6 = -n. Let r be x(n). Solve 3*w = r - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -322, -481, -638, -793, -946?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -64?\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*2*6 + sqrt(91) + sqrt(91) - sqrt(91)) + (sqrt(91) + (sqrt(91)*-1 - sqrt(91)))*-2)\/((4*1*sqrt(70) - sqrt(70))\/(sqrt(20)\/(sqrt(10)\/sqrt(5)))).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 2:22 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*j**3*k**6 - j**3*k + 3*j**3 - 2*j**2*k**2 - j*k**6 - 542*j*k**2 wrt k.\nAnswer: -44280*j**3*k**3 - 120*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 8*r - r. What is the third smallest value in r, 0.5, -2\/9, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 24*w - 53. Solve 4*b - 2*b = 3*c + 11, -2*c - b = w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 65947591 - 2740409 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 9?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23280 * -0.12\nAnswer: 2793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 7, m: 2, z: 1, x: 1}. Give prob of picking 1 r, 1 y, and 1 m.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 1, l: 2, a: 1, n: 2}. What is prob of sequence ljlc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3 + 14921*g**2 + 55621739*g - 278481845 = 0.\nAnswer: -7463, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 5\/(20\/(-32)). Let i(p) = p**2 - 2*p - 7. What is the lowest common multiple of i(5) and t\/4*(-12)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*y - 657, 4*v - 326 = -2*y + 96. What are the prime factors of y?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 88*w - 95)*(2 + 2 + 2)*(2*w + 3*w - 2*w)*(4 - 4 - 1).\nAnswer: 1584*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -5 (b) -407 (c) 19\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*p - 497*p = -66. Solve -c - 7 = -3*h, 0*c - p*c = -15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 322 - 1 = 34 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*d - 5, 0*p - 15 = -3*p + 2*d. Let s be 1*-1 - 12\/(-3). What is the derivative of p + 0 - s - o wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-33)\/(-9))*(-6)\/(-2340)*-2?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and -0.1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/34 + (2 - 8) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p = 25*p + 12*p - 16. Solve 4*t + 4 = p*t, 0 = w - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7265771 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, e: 1, l: 3, a: 4, c: 6, i: 2}. Give prob of picking 1 l and 1 t.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 59*p + 178. What is i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let b(f) be the first derivative of 0*f**2 - 1 + 1\/3*f**p + f. What is the derivative of b(c) wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - 30. Let p be -4*3*w\/(-18). Let c = -32 - p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*m - 126, 0 = -4*g - m + 37 + 407. Suppose 2 = -4*z + g. What is the greatest common factor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11111110000010 (base 2) to base 8\nAnswer: 37602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/4)\/(3\/156). Is 39 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 14*m**2\/3 - 11*m\/3 - 34\/3 = 0.\nAnswer: -17\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 13*n - 29. Let o = 5908 + -5900. What is u(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-3*(-5)\/(-5) + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 78795378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 175804376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34751 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + 9. Let p = -1696 + 1728. Suppose -p*q + 1172 = -a*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 815251*j**3 + 860103*j**2.\nAnswer: 4891506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -6532?\nAnswer: -32660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31567 + 53769. Suppose 488*a - q = 471*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13146 = -4*a + 3654. What is a rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-2)*12\/5. Suppose -d*a + 140 = -10. Let w = a + -26. Which is greater: w or -11\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 648196864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 + 0.02. Let n = -176.03 - -178. Let w = n + a. What is the closest to 2 in 0.1, 1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) 0.4 (b) 5 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-10 - 369\/75)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0012 and -23700165?\nAnswer: 23700164.9988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(230\/(-35) + 6 - 9\/168).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654380 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6766\/243371 or 0?\nAnswer: -6766\/243371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 414, 2621, 8196, 18693, 35666, 60669, 95256?\n\"Answer: 259*t**3 + 130*t**2 + 4*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 2. Let p be f\/28*-2*-7. Solve p + 3 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2714 - -236. Suppose 417 = -r + t. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206033, 824095, 1854203, 3296363, 5150581, 7416863, 10095215, 13185643?\nAnswer: 16688153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*d - 21*d + 2340 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54, -3, 0, 1 in decreasing order.\nAnswer: 54, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.95 + 0.05. Let h = q - 2.92. Let g = -565.5 + 565.9. What is the second biggest value in h, g, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1*(-3)\/(-9))*18\/(-102)*68\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 107.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259770.\nAnswer: 2, 3, 5, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 11*q + 13. Let b be o(-9). Let l(r) be the second derivative of -r**4\/12 - 5*r**3\/6 + 5*r**2\/2 - r. What is the units digit of l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 8530768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -1. Let z = 3 + -2. Let f = 184\/5 + -36. What is the closest to 0.1 in f, z, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206 divided by -820\nAnswer: -103\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-3 - -275) - 1476\/64?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1093, 2204, 3311, 4414, 5513?\nAnswer: 6608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14))\/(24\/2520*-5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5472 + -5480. Let k(w) = -w - 8. Let v be k(-7). Let t be (0 - 1\/(-3))\/v. Which is the nearest to -1? (a) f (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.046381ns in days?\nAnswer: 0.0000000000022459071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.7 - 8. Let k be (-129)\/(-105) + (-32)\/40. What is the second biggest value in k, m, -0.2, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 20*n**2 - 18*n - 21. Calculate p(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**6\/180 + t**5\/12 - t**4\/3 + 4*t**3\/3 - 19*t. Let a(q) be the second derivative of p(q). Factor a(w).\nAnswer: -2*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304842\/1189 or -257?\nAnswer: -304842\/1189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941817 is divided by 313913.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 957 + -955. Let r = -3 - -4. Suppose 5*f = -4*h + 13, h - f = -5*f + 17. Which is the closest to h? (a) j (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 675450979.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12527 or -12419?\nAnswer: -12527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 6)\/((-1)\/7). Let t(c) = 4*c + 24. Let a be t(j). Let d(m) = -m**3 - 7*m**2 + 7*m - 4. Let o be d(-8). Sort -5, a, o.\nAnswer: -5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43455 (base 6) in base 10?\nAnswer: -6011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 60*n - 470. Let r be z(-18). Is r > -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-2577)\/(-117) - ((-1392)\/(-377) - 4))\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22046925 and 0.1.\nAnswer: 22046925.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 3, l: 1, w: 1, f: 2, v: 1}. What is prob of picking 1 w, 1 d, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4247303 and -1.12?\nAnswer: 4247301.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3 (b) -2603 (c) -0.485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4688 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 1*sqrt(14)\/sqrt(2) + 1.\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - 174. Let o = 58 + q. Let r = -3 + 2.5. Which is the nearest to o? (a) 5 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39\/8 in 3\/4, 8, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-18)*(-1053)\/2*(-94)\/(-846).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a41a3 (base 14) to base 6.\nAnswer: -12250523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7358 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 14*m - m**2 - 8*m + 2 + 24*m + 6*m**4 in the form j*m**3 + p*m + o*m**4 + z + a*m**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/192 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o + 2*v + 134, -4*v + 36 - 16 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 51*b - 259. Determine z(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11609, -23216, -34823, -46430?\n\"Answer: -11607*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483 - 2.5.\nAnswer: 480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**15*p)\/(p*p**(-2\/19)\/p*p))\/(p**2)**33)**(-2\/27) assuming p is positive.\nAnswer: p**(1934\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 164, 245, 326, 407, 488?\n\"Answer: 81*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201733882?\nAnswer: 2, 7, 311, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.96. Let n = 3.5 - 1.9. Let x = -1.5 + n. What is the nearest to x in w, 5, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298*c + 99 - 302*c + 24)*(-4 + 3*c + 4)*(2 + 1 - 1).\nAnswer: -24*c**2 + 738*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 4, 0, -788.36, -4\/45 in decreasing order.\nAnswer: 4, 1\/7, 0, -4\/45, -788.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5\/(-5))\/1 + 1)\/(-3). Let o(t) = -t + 590. Is o(d) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.74, 17557, -6\/11?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-59 + 61 - 13) + (29 - -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/271299?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -829, -743, -521, -97, 595, 1621, 3047, 4939?\n\"Answer: 11*m**3 + 2*m**2 + 3*m - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -19.5832 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/5 - (0\/(-2) + (-4)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33799\/15210 - -17\/1521. Calculate the common denominator of (-1)\/((-10)\/32) + 4\/(-24) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154308 is divided by 358?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179298 + -101881. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + 7*c - 7*c - 3 + c**2 + 3 + (-4*c + 3*c - c)*(2 - 2 - c) + 0*c**2 + 4*c**2 - 3*c**2 - 2*c + 3*c**2 + 2*c - c**2 - c**2 - c**2 - 3*c + c**2 + 3*c.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746110 is divided by 810?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3821916 litres?\nAnswer: 382.1916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28356 is divided by 139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3218761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 - 388. What is the closest to i in -2, -0.02, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -777 (base 11) to base 4\nAnswer: -32203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 971693509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1087, -1165, -1301, -1501, -1771, -2117, -2545, -3061?\nAnswer: -3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 10*r + 22. Calculate b(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118291 and 9.\nAnswer: 1064619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*f + 2 = 0, -y + 6*y + 5*f = 0. Let l(w) be the third derivative of w**4\/8 - 9*w**3\/2 - 7*w**2. Let k be l(12). Solve -y*v + 5*v = k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133777 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 x be (-396)\/(-60) - (-4)\/10. Suppose -x*n + 4 = -5*n. Let v be n\/4*(12 + -10). Are -1\/5 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -134*m - 2. Let l(k) = 201*k + 3. Calculate 5*l(c) + 8*o(c).\nAnswer: -67*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -77, -251, -541, -947, -1469?\n\"Answer: -58*g**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180760 is divided by 15019?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/13 - 465\/182. Let a = -493\/1140 + 3\/190. What is the common denominator of b and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27125?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*f + 1446 = 0, -4*f - 7*f + 3741 = 5*o. Calculate the remainder when o is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105058126 to the power of 1\/3, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199 - -211. Solve 0 = m*u - 17*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36585?\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3284129*o**3*v + 36048*o**2*v - 4*v wrt o.\nAnswer: -19704774*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 636 and 82733636?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76126 is divided by 218.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 56*u**3\/3 - 259*u**2 + 2628*u + 52. Let w(a) = 5*a**2 - 47*a + 239. Let q(s) = 6*t(s) - 68*w(s). Factor q(m).\nAnswer: -4*(m - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjghhghbjbghh. Give prob of sequence gb.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194 by -6.\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 103, 194, 327, 514?\n\"Answer: 2*g**3 + 3*g**2 + 38*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-363)\/(-45) - 1)*3. Let v = r + -21. Let p = 0.9 + -4.9. Which is the second biggest value? (a) p (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*d + 1 = 6, -f + d - 4 = 0. Let k be ((-3)\/(-1))\/(27\/(-36)). Let p(l) = -12*l - 43. Let t be p(k). Sort -4, f, t, -47 in descending order.\nAnswer: t, f, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108256 divided by -199\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(132) + (sqrt(132) - 2*sqrt(132))*4)\/((sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(9)\/sqrt(3))))*1 + sqrt(3) - (sqrt(3) - sqrt(24)\/(2*sqrt(8)))).\nAnswer: -12*sqrt(11)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*d + 6*d - 23, 2*i - 4*d = 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4\/(-2) + 3). Suppose -c*a = 1 - 9. Let v be 0\/(0 + a - 2). Solve v = -2*z, -2*j + z = -4*z - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -688 + 694. What is the nearest to 8 in 0.5, t, -1\/3, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -4, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15 = -3*b, -5*x - 16 = -3*b - 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 38. Let l(y) = 2*y**2 - 186181. Determine r(l(m)).\nAnswer: 4*m**2 - 372324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - 37 - (-175 - -34))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*m**4 - 30*m**4 - 4*m - m**2 + 3*m**3 - 5*m**3 as w*m**3 + o*m**2 + u + s*m + j*m**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (3 + 5)) + 2. Let k be (44\/20 - 2)*(-1 - f). Suppose 0 + 0*h**3 - 1\/5*h**2 + 0*h + k*h**4 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12) - (200\/624)\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/7 and 47\/4192477.\nAnswer: 29347339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163775.14 * -4.\nAnswer: -655100.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((119\/(-14))\/(-17)*-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21792460, 43584818, 65377186, 87169570, 108961976, 130754410, 152546878, 174339386?\nAnswer: 196131940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16372872 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(6*3\/((-12)\/2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 13*f - 5. Solve -6*k + 5 + f = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 3. Let g(c) = 4 + 1 + 4 - 6 + 0. Suppose 0 = b + 2*t + 2*t + 7, 2*b = 5*t - 1. Determine b*g(d) - 2*z(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p - 3143. Let h(n) = -2*n - 24. Determine h(c(r)).\nAnswer: -14*r + 6262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 71.\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58167611 to the power of 1\/2, to the nearest integer?\nAnswer: 7627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 7, q: 3}. Give prob of sequence oo.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*u = 3*z - 51, -3*z + 72 = 3*u. Suppose -r + 4*r - 3*b = 27, 0 = 4*r - b - z. Solve 0 = -i + r*j + 39 - 16, 32 = 4*i - 4*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 3*b**4\/4 - 2*b**3\/3 - 9. Find the third derivative of n(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 5*w + 2. Let g be p(-5). Let l be g\/(-6) + 7\/3. Let o = 4 - l. Solve 0 = -5*n - 5*k + 10, -2 = -3*n - o*k - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3048 = 19*f + 5*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (271\/((-4607)\/935))\/(2*5\/(-12))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 78 + (16 + 21 - 79)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 556083985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5062 is divided by 92.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:56 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:29 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*z = 2, -4 = -v + 5*z + 2. Let l be (-3 + -3)*(-14)\/v. Let i be (-3)\/(-7) - 19\/l. Sort -2\/3, i, -2.\nAnswer: -2, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 605874*o - 605861*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from lllflffllljjlljj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 14*g - 13*r + 15*r + 26 = 0, -2*g + 17 + 36 = -5*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2) + (6 - 5). Suppose -4*v + 7 = 23, -2*r + q*v = -24. Suppose -3*u - r = -357. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*q + 1077, 5*g - 113*q = -117*q + 1801. Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:17 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 428*r**4 + 772548*r**3 + 1558236*r**2 + 800540*r + 14424 = 0.\nAnswer: -1803, -1, -2\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9005 - 9005.008106. What is u rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385 - 5100*l**3 + l**2 - 422*l**3 - 2702*l**3 + 372.\nAnswer: -8224*l**3 + l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19204302 to the nearest integer?\nAnswer: 4382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 at most as big as 1251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddgdddddgdgdd. Give prob of picking 1 g and 2 d.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 80. Suppose j - 14 = -j - 2*r, a = 2*j + 4*r. Suppose -j*c = -2*n - 3*n + 86, 4*n - 60 = c. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188152235041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 3797*l - 3394373. Determine n(747).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 589165.69 to the nearest ten.\nAnswer: 589170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156)\/(-1*sqrt(768)) - -2*(sqrt(13) + sqrt(13) + 1 + -4))*1*5)**2.\nAnswer: -41850*sqrt(13) + 3329325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a factor of 241728279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8078.588 litres in millilitres?\nAnswer: 8078588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2 = 7*b. Let j be ((-8)\/36)\/b - 3\/27. What is the nearest to -1 in -4, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 1101100010110111001110000?\nAnswer: 1101100010110111001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 743340427835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2. Let a(b) = 2*b + 53 - 5*b - 53. What is c(a(j))?\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + -23443?\nAnswer: -24210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 646 + -147?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 - -3373\/15. Let u = 7\/107 - 156\/749. What is the nearest to 0.1 in u, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 24, -5 in descending order.\nAnswer: 24, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19549243423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-288) + 2\/6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 + 44.9. Let f = -38 + x. Put 2, 0.3, f, -2 in increasing order.\nAnswer: -2, 0.3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.0967ml to litres.\nAnswer: 0.0340967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011111101 (base 2) in base 13?\nAnswer: 34bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031399 rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362673, -1450734, -3264177, -5803008, -9067233, -13056858, -17771889?\nAnswer: -23212332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329737789?\nAnswer: 1487, 221747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/10)*g**(-17) assuming g is positive.\nAnswer: g**(-159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1240230150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*k + 6 = j, -4*j + 48 = 4*k. What is the highest common divisor of j and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-18)*3\/(-6)*6. Is o > 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0.04 (b) -4 (c) -0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.92 - 0.08. Let y = i + 6.000032. Round y to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from pzhphhkphph?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4526 divided by 80.\nAnswer: 2263\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*z + 12 = 0, h - 3*z - 15 - 1 = 0. Suppose -6*k = -h*k. Solve -8*s + 3*s = r - 24, -4*s + 2*r + 22 = k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p + 24*p - 19*p - 28*p + p.\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 6\/5, -0.1, -6.03?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797626157.\nAnswer: 269, 2965153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/5076 and -89\/74250.\nAnswer: 6979500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.36 + 1.36. Let y be ((-1)\/(-3))\/(-1 - -2). Which is the closest to 9? (a) -5 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2111 + -2111.5. Which is the fourth smallest value? (a) 1\/6 (b) -13 (c) z (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 824*q + 5717. Let t be g(-7). Suppose 5*c - 56 = 3*l, -c + 0*c - 84 = 5*l. Let w be l\/t - (-52)\/6. Solve f - 4 + w = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7040152?\nAnswer: 2, 7, 125717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175486215 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tap when three letters picked without replacement from {t: 1, a: 1, p: 7}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87828173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: (4 - -4) + 2 + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1972495 by 4067.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:42 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7313072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2 - 2*j**2 - j**2 + 4 - 1. Let p be n(-1). Calculate the remainder when (-3)\/((8\/12)\/p) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -5*l**4\/4 - l**3 - l**2 - 12*l - 237. List the prime factors of p(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/30)\/(6\/10). Which is the nearest to -1? (a) k (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1360 and 3264.\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -64. Suppose 5*o - 3117 = -q, 290 = -v*o - 3*q + 3411. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633 - 624 + 9*d + 1961 - 704.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 112 = 23. Let v = -224\/5 - o. Put 5, -6\/5, v, -3\/4 in decreasing order.\nAnswer: 5, v, -3\/4, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 78, 150, 278, 480, 774?\n\"Answer: 3*o**3 + o**2 + 10*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5327827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 44*g + 490. What is o(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -18.9646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x - 12*x - 63*x**2 + 116 + 4*x + 32*x**2 + 29*x**2 to the form h + c*x**2 + s*x and give h.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/9, 1\/2, 29, 2\/11, -2623?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 3425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 17.7, 0, -2\/97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1185 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -2 + 3 + -3. Suppose r = -9*f + 4*f. Suppose 4*y - 171 - 309 = f. Calculate the highest common factor of y and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/20944 and 47\/59136.\nAnswer: 1005312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110001111111 (base 2) to base 14.\nAnswer: 5903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - 256 = 344 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10)**45\/(s**1\/((s*s*(s*s*(s**(-6\/5)*s)\/s*s)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(2259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 5. Let s(n) = 2*n - 2. Let k be (27 + -28)\/(1\/2 + 0). Determine k*b(y) - 5*s(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.6, 4, 0.02129, -0.3?\nAnswer: 0.02129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.6. Let n = z - 4. Let d be (-2)\/(-30)*(-2 + 0). Which is the third smallest value? (a) n (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 s, and 1 f when four letters picked without replacement from fsoobfms.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -37*a**2 + 4*a + 10. Let u be b(-4). Suppose 5*r = -0*r + u. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by 210.\nAnswer: -43\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1629 - 1c?\nAnswer: 160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 0.267, 3\/2?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -4 in descending order.\nAnswer: 17, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*i + 62*i + 35*i**2 + i**3.\nAnswer: i**3 + 35*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 13*a + 13 + 18*a.\nAnswer: 10*a + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4147*u**2 + 9*u + 17. Let g(v) = -2074*v**2 + 5*v + 10. Calculate -7*g(r) + 4*m(r).\nAnswer: -2070*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + 66. Suppose 18 = -4*y + 102. What is the remainder when 2\/(-10) + y\/5 is divided by w(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -400 + 395. Let o(u) = u**2 + 2. Let h be o(0). What is the closest to -2\/3 in l, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 8. Let s = 36 - 29. Let g be b(s). Solve z + g = 3*m + 2, -2*z = -2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10872792 and 152280?\nAnswer: 54363960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84390.1379 - -169.\nAnswer: -84221.1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-64 + -6)\/(-10))\/(1\/9) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3290 - -3799. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, w: 3, y: 3, d: 1}. What is prob of picking 1 w and 1 y?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/23, -0.4, -2\/11, -97?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/350686 and 97\/54390.\nAnswer: 36822030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2. Let v(i) be the first derivative of i**5\/60 - 4*i**3\/3 - 3. Let m(c) be the third derivative of v(c). What is m(z(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*q + 13820 + 18499 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by ((-16)\/(-12))\/4*-3 + 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 28 + 5*w)*(-128*w**2 + 71*w**2 - 67*w**2 - 26*w**2 - 68*w**2).\nAnswer: -1090*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1914 in -1, 0.3, -0.55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 184 = 4. Suppose 1 = i, 3*d + 3*i = -12 + v. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 101*a**6\/120 + a**5\/60 + 83*a**4\/24 - 415*a**2. What is the second derivative of c(x) wrt x?\nAnswer: 606*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c**3 + 0*c**2 - 3*c**3 - 2*c**2 + 1 + 6*c**3 in the form p*c**2 + s*c + f*c**3 + b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 1)*((-4 + 1 + 5)*(10*m - 17*m + 14*m) - m - 5 + 5).\nAnswer: -143*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 10*b = -15*b - 6, 3*u = b + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -349, 143 in increasing order.\nAnswer: -349, -3\/7, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3030520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*x**5 - 80*x**4 + 20*x**3 + 70*x**2 - 55*x + 10.\nAnswer: 5*(x - 1)**3*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -15*r + 9*r. Suppose -5 = -r*c + 10. What is the remainder when 24 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1472*l - 774610.\nAnswer: 2*(l - 355)*(l + 1091)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-6)\/2 + 1. Let u = r - -5. Let h(z) = z - 5. Let c be h(7). Solve u*b - c*b + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from ddvvvv.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4537 - 4552 + 9089 + 2795*h.\nAnswer: 2795*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*v - 47*s - 138 = 3*v, 2*s = 3*v + 2*s - 5*s - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 4 - (5 + -4) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.583 + -27.369. Let h = g + 0.652. What is h rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 83754 - -907?\nAnswer: 8435b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 203 - 11. Suppose w + 0*w = 4*q + d, 4*q = 3*w - 232. Let j = 418\/5 - w. Which is the closest to 1\/2? (a) j (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o + 2. Let -i**o + 10*i**2 - 5*i + 4 - 4*i**3 - 6*i**3 + 5*i**4 - 3 = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10121\/194 >= -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.45519 days to seconds.\nAnswer: 6864928.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 1. Let i(g) = 17*g**3 - 68*g**2 - 68*g + 68. Calculate i(q) - 68*j(q).\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*a + 9*a - 13*a as y*a + l and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 71.3. Let j be ((-3)\/(-2))\/(3\/4). Which is the second smallest value? (a) 1\/7 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43705 - 30911. List the prime factors of b.\nAnswer: 2, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*d - 14 = 0, 9 - 1 = 2*o + 5*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**3 + 4*r**2 - 5*r + 5. Let c(o) = o**2. Let p(a) = -2*c(a) + k(a). Let x(h) = 11*h**3 + 3*h**2 - 8*h + 8. What is 8*p(j) - 5*x(j)?\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 210049458629\nAnswer: -210049458633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187659351 to the power of 1\/2, to the nearest integer?\nAnswer: 34462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 291735*f + 291715. What is w(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18214878.\nAnswer: 2, 3, 11, 37, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 14. Let v = -29 + 23. Let a be x(v). What are the prime factors of ((-12)\/a)\/(4\/70)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)*h)\/h)**(-3\/5)\/(h**(6\/11)*h**(2\/7)))\/((h\/h**(-2\/3))\/h**(1\/2))**(3\/14) assuming h is positive.\nAnswer: h**(183\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = 2*y, 4*u - y = 32. Suppose -u*h = -678 - 379. List the prime factors of h.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1210?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 367 divided by 1554906\nAnswer: 367\/1554906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 + 2*b + 1. Let x be o(-1). Let u(c) be the third derivative of -77*c**2 + 0 - 1\/3*c**3 + 1\/24*c**4 + 0*c. Give u(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**7\/112 - a**6\/5 + 6*a**5\/5 - 77*a. Factor m(g).\nAnswer: 3*g**3*(g - 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-21) - -9)*(0 + 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-7))\/(6\/(-28)). Let i be 72\/693 - w\/(-44). What is the closest to 1 in -2\/15, i, -15\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1033 (base 4) to base 15\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = h + 4 - 0, 5*n - 2*h - 12 = 0. Let v(q) be the third derivative of 3*q**2 - 1\/8*q**n + 0*q - 1\/60*q**5 + 0 + 0*q**3. Factor v(g).\nAnswer: -g*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) 277 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -227*d**4 + 3*d**3 + 3*d + 106. Let y(b) = -b**4 - b**3. Let q(s) = -k(s) - 3*y(s). What is the second derivative of q(a) wrt a?\nAnswer: 2760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) + -14*6\/60. Let i = -2 + 1.9. What is the nearest to i in -5, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -48. Let r = s - 35. Let x = -8 + r. Which is the biggest value? (a) -3\/7 (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3478\/2721 - -50\/907. Let -2*o - d + 0*o**2 + 2\/3*o**3 = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8063 - -658?\nAnswer: -7405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 10) + -2 - ((5 - 5) + 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 10704?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(6\/3))\/((-1)\/(-3)). Suppose -n + 27 = 2*n - 3*x, -5*x + 3 = q*n. What is the least common multiple of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26638004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 20.1. Let g be 0 + 5\/((-10)\/8). Let z be (15\/9)\/(g\/(-12)). Which is the smallest value? (a) -4 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85563 and 9507.\nAnswer: 85563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -5\/7 (b) -0.0719 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let q be 4\/(-26) + (-205)\/(-65). Suppose 0 = -q*z - a + 2*a + 1, 35 = 5*z + 5*a. Let m(t) = -2*t**z - 2*t**2 + 0*t**2. Determine m(d(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, 4, 1\/27, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 16882.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857875*v**3 - 17 + 15 + 1857892*v**3.\nAnswer: 17*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-4)\/(-22))\/(7\/77). Let v = 5 + -3. Factor 0*m**2 - 5*m**2 - 2*m + c*m**v + 8*m.\nAnswer: -3*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -4. Suppose k = z - 1. Let f = 766 + -753. Calculate the remainder when f is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 4*v**2 + 9*v - 4. Let y(d) = d**3 + d**2 + d - 1. Calculate j(u) - 4*y(u).\nAnswer: -2*u**3 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + l. Suppose -18*i - 2 = -19*i. Let b be (i - (-50)\/5)*1\/(-2). Let t(n) = -n**3 - 3*n**2 - 3*n - 1. Determine b*w(o) - 2*t(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/27*30\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 14*l**2 + 9*l + 13. Let j(q) = 13*q**2 + 9*q + 13. Let t(a) = 2*j(a) - 3*v(a). Let i be t(-4). Let n = i - -472. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 45*x**2. Let o(y) be the second derivative of 7*y**3\/6 + 11*y - 2. What is o(u(v))?\nAnswer: 315*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -8499441\nAnswer: 4\/8499441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -338 - 32. Round s to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1827 divided by -1\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a + 294. Let c(p) = -p - 49. Let t(x) = -6*c(x) - o(x). Let k(n) = -2 + 2 - 141*n**2. Determine k(t(y)).\nAnswer: -141*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/185490 and 149\/185490.\nAnswer: 185490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.9. Let r = -4 + 3. Which is the nearest to 3? (a) r (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54786.\nAnswer: 2, 3, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)*-3)\/(-1*1*sqrt(12)).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43068799, 43068807, 43068821, 43068841, 43068867, 43068899, 43068937?\nAnswer: 43068981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 40*p - 6. Determine j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 233353, 233352, 233351?\n\"Answer: -g + 233354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07223 or 6859?\nAnswer: -0.07223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 15) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 + 6*c - 4. Let k be h(4). Let w(o) = o + 1. Let j be w(3). Calculate the highest common factor of k and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*v = 1864, -4*w = v + 2*v - 1490. What is the lowest common multiple of 6 and w?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1. Let o(t) = t + 5. Let d(q) = 4*k(q) + o(q). Let h be 4\/8*2 + -3. Let r(y) = -2. Let f(x) = h*d(x) - r(x). Let u(l) = -5*l. Determine f(u(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**3\/3 - 2. Let o(b) be the second derivative of b**4\/6 - 2*b. What is o(j(d))?\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -20. Let f = x + -25. Let h be (10\/4)\/(2\/4). Calculate the highest common factor of f and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 2 - 111*j**3 + 119*j**3 - 3*j**4 - 3 - 2*j in the form q*j + v + z*j**2 + p*j**3 + o*j**4 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.6 - -8.5. What is the closest to w in -12, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(((-45)\/(-4))\/9)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -j + x, 27 = 2*j - 3*x - 30. Suppose 16 = b - 10. Suppose -j = -4*l + b. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -2.6. Suppose -m + 16 = 3*m. Which is the closest to 0.1? (a) m (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -2*l, -270*a - 5*l = -274*a + 20. What is the least common multiple of a and 2540?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(228)\/(sqrt(60)\/sqrt(5)) - ((sqrt(931) + sqrt(931)*-2 - sqrt(931)) + sqrt(931)))**2)*5.\nAnswer: 6095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251156 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -29.5, 18, -8, 3, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Let w(f) = -2*f. Let h(c) = 265*c. Let v(s) = 4*h(s) + 220*w(s). Determine v(y(a)).\nAnswer: -620*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 1093.6982?\nAnswer: 1093.6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.021.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 + -7 + 5)*-1. Which is the third biggest value? (a) 0.3 (b) 0.2 (c) -0.037 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1081\/9 - 9\/81. Suppose 3*o + 118 = k, -5*k + 60 = -5*o - b. Is 7 a factor of o*(-3)\/2 - (-3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwddwd. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23850250019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(96\/40)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72799.49 litres?\nAnswer: 72799490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 6. Let s be y(7). Suppose s = -2*h, -2*w + 0*h + 2*h + 16 = 0. What is the first derivative of w + 9 + 0*k**4 + 12*k**4 wrt k?\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262 + 225 - (-3 + -9 + -4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/70)\/(8\/30)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/960 + g**5\/120 + 5*g**4\/192 + g**3\/24 + 6*g**2. Let t(f) = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7803570*a**3*u + 5964*a**2*u - 3421 wrt a.\nAnswer: 46821420*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsq when three letters picked without replacement from qspzj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -16*q + 533. What is the greatest common factor of q and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8739 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**8\/f*f*((f*f**(-12))\/f)\/f*f*((((f**(-3)\/f)\/f)\/f)\/f)**(3\/19) assuming f is positive.\nAnswer: f**(-78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*r**3\/5 + 3320604*r**2\/5 - 12176637*r\/5 + 2232450 = 0 for r.\nAnswer: -30750, 11\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 11*i - 19*i - 2 + 65. Let o be y(10). Solve 6 - 12 = -o*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-74)\/(-20) + -4)\/((-12)\/(-110)) and -39\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/3, -500 in descending order.\nAnswer: 2\/3, 0.5, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -249, -292, -347, -402, -445, -464?\n\"Answer: 2*y**3 - 18*y**2 - 3*y - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/9 + 80*h**2\/9 + 26*h\/3 = 0. Calculate h.\nAnswer: -39, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 534892899 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:25 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5)*x**4)\/((x*((x\/(x\/(x\/x**(1\/6))))\/x)\/x)\/(x*x\/(x*x*x**(-1\/3))*x)))**(-23))**45 assuming x is positive.\nAnswer: x**(-1035\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 - 17*s**2 + 15*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*s + 13 = 0, -s = 2*r + 226 - 215 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15587329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**32*c)\/c**22)\/(c**(-2\/53)\/((c*c**22)\/c)) assuming c is positive.\nAnswer: c**(1751\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose 4*k + v - 38 = 0, -13 = -u*k - 2*v + 3. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.559439.\nAnswer: -2.559439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*k**3 + 12*k**3 + 2*k**2 - 28 - 20*k**3 wrt k.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:50 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367531281?\nAnswer: 3, 13, 1289, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(y*y\/((y**(-2\/17)\/y)\/y))*y)\/y*y*y))\/(y*y\/y**7*y))\/(y\/y**1*y\/(y\/(y*y**(-9\/2)\/y)*y)) assuming y is positive.\nAnswer: y**(395\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35686811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.8 - -48. What is the closest to 0.3 in 4, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 18*h + 72. Let s be q(18). Calculate the highest common divisor of s and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191597, -191682, -191833, -192056, -192357, -192742, -193217?\nAnswer: -193788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/60 + h**4\/24 + h**3\/3 - h**2. Suppose t + 4*t + 3*q + 15 = 0, 19 = t + 5*q. Let c = t + 4. Give r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346 - -421. Suppose -42*y = -39*y - t. Which is smaller: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 128 = -z, -3*g = 4*z - 5257 + 5194 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 13. Let c(l) = l**2 - 4*l - 10. Let w be c(8). Suppose -5*v - 2*r + 3*r = -26, v + 4*r = w. Let p be z(v). Let x(b) = -b. Give x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/3))\/w**1*(w\/(w\/((w\/w**(2\/7)*w)\/w)))**(-7\/5) assuming w is positive.\nAnswer: w**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 31*q**2 + 34*q + 430. What is o(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 11. Let k be w(-3). Let s be k\/(-5) + (-6172)\/5. Let n = s + 2133. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4851 = -4750673*n + 4750750*n for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*s - 20 = 0, 8*s - 6 = 3*l + 10*s. Determine d so that 1\/6*d**l - 1\/2*d - 5\/3 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 14 = 2*t. Suppose v - 18 = t. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11499.\nAnswer: 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/5 - 3549*o**3\/5 + 7826*o**2 - 21360*o = 0. Calculate o.\nAnswer: -3560, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4.47 * -0.3\nAnswer: -1.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 185*l + 10168. Determine z(-56).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790064 divided by -5.\nAnswer: -790064\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 127, 213?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8482 - -8486. What is the fifth smallest value in 1\/14, 5, 0.1, h, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 384\/40 - (-4)\/10. Suppose -5*j + 4*r - 12 = -q*j, -4 = -2*j - 2*r. Factor 20*x**2 + 4*x**3 + 3*x**4 - 7*x**4 + 0*x**j + 12*x.\nAnswer: -4*x*(x - 3)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6275 = -8*x + 3421. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {i: 1, f: 1, l: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 192 + 17*k - 192 + 19*k.\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 - v - 6. Let y be (12\/4)\/(3\/4). Let g be (-1)\/(21\/5 - y). Give w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8163683 and 0.5.\nAnswer: -4081841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a factor of 2774952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 7928\/963?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -8 + 5. Suppose -3 = 2*q - 4*q + b, 5*b = 3*q - x. Suppose q*g = -0*g + 20. Calculate the smallest common multiple of g and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + 1*(1 + sqrt(18)\/(sqrt(9) + sqrt(36)\/sqrt(4)))))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-13)\/(-26))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - j. Let a be (16 - j)\/3 - 2. Suppose -a*b = b - 185. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, 36, 30, 10, -24, -72?\n\"Answer: -7*a**2 + 29*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 1204038 + 1204104 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279 - (-26 - 105)) + 99.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/(-336)*(-6)\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 + 6*b**3 - 6*b**3)*(b - 4*b + b)*(5 - 2 + 5).\nAnswer: -32*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 774, 1120, 1432, 1698, 1906, 2044, 2100?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 2 (c) -7\/4 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -88687.89?\nAnswer: 88682.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 2*m**3 - 5*m**2 - 7*m + m**3 to the form x*m**2 + z*m + g*m**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 7272 = 3*g - 26*k, -6*g + 14562 = 2*k. What are the prime factors of g?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -22*h - 7 + 8 - h. Let q be j(-1). Suppose -4*a + 0*a = q. Let v(f) = -f**2 - 5*f - 1. Give v(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.5 * -3.\nAnswer: -235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*i - 2 - 25 = 0, -3*d - 5*i = 31. Sort d, -2\/7, 3.\nAnswer: d, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840 = -102*w - 66*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 229 (c) -3\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/147600 and 145\/112176?\nAnswer: 2804400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 22. Let c be -1*(14 - 16 - 1). What is the highest common factor of c and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 - 29 - ((11 - 8) + (1 - 2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 426 = 62. Suppose x*u - 48*u + 7370 = 0. Calculate the greatest common factor of 67 and u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 360*i + 205*i - 306*i + 1 + 5.\nAnswer: -461*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 not equal to 11760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3866*x. Let j(s) = -3*s**2 + 17. Determine j(m(q)).\nAnswer: -44837868*q**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37066125 and 750.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/18 and -143\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-6\/13)))**(-20)*(d\/(d**(-36)*d*d))\/(d\/(d\/d**32)) assuming d is positive.\nAnswer: d**(-81\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4 + 18*i**2 - i**3 - 4*i - 13*i**2 - 6*i**2 - 8*i**2 + 13*i**2. Let y be 84\/22 - 6\/(-33). What is b(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047256 to 4 decimal places.\nAnswer: -0.0473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-8)\/36)\/((-16)\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + (-1 - (3 + -2)) + -365 + 82 + 273.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u - 315 = 12*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 51 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = -24*k - 275 - 366 + 49 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.7 + 1.2. Let t = -36 + 38.9. Let k = b - t. Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 165. Suppose 4*i + u = -0*i. What is the units digit of (-6)\/i - (-32)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - g + 2. Give h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12*k - 41. Let a(u) = 13*u + 47. Let q(y) = 8*a(y) + 9*h(y). Suppose 4*n - 3*v - 32 = 0, 0 = -2*n + 4*v - v + 22. Determine q(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + (49 - (36 + 23))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 31*p**2 + 129*p - 743. What is b(27)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20*(-2)\/(-8)*-2. Let q(x) = l*x + 7*x - 12*x - 3. List the prime factors of q(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -0.04764732.\nAnswer: -2.04764732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13*(-6)\/(-18)*6 + -1 and 45\/79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 66*k - 56*k - 3*k**4 - 6*k**4 - 4 + 2*k**3 - 2*k**3 in the form u*k**2 + q*k**3 + g*k + w + i*k**4 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436306972 to the power of 1\/2, to the nearest integer?\nAnswer: 37899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -1448034590.\nAnswer: -1448034526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/8)\/((-1)\/6). Suppose y = 2*o - 81, -o - o = 3*y + 243. Let v = 84 + y. Calculate the greatest common divisor of v and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0*q**6 + 83\/12*q**4 + 0 - 193*q + 0*q**2 - 1\/2*q**5 + 0*q**3 + 1\/21*q**7. Find the third derivative of i(b) wrt b.\nAnswer: 120*b**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 17832, -0.42.\nAnswer: -0.42, -0.2, 17832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -825, -822, -819, -816, -813?\n\"Answer: 3*h - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 5. Let b be t(5). Suppose -3*v = l + 3*l - 217, 0 = 4*l + b. Let h = v + -56. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5533 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*z**3 - 119*z**3 + 232*z**2 - 127*z**3 + 230*z**2 - 455*z**2.\nAnswer: -3*z**3 + 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = 2*b, 4*a + 4*b - b + 33 = 0. Let i be 20 - 20 - 3\/(a\/8). Suppose 5*m - 35 + 1 = -k, -i*k + 220 = -m. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21) + 403\/(-455) + 11\/990*-66.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -47. Solve 2*w = -5*f - 35, -6*w = -f - w + q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*o - 49, -7 = -0*q - 2*q + 4*o + 15 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 376720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1757*a - 1768*a + 3550*a = -1050 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64955 > 64906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/5 (b) 0 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 30321884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -257\/3 - -86. Let p = -2 - -2. Which is bigger: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 5*z - 29, 0 = 4*m - 124010*z + 124011*z - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**3 - 46*g**2 - 28*g + 10 = 0 for g.\nAnswer: -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x - 7. Calculate f(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 49*o**2 + 30*o**2 in the form a*o**2 + s*o + v and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmjmjjmjmjm. What is prob of sequence jmj?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**3 - 14*k**3 + 10*k**3)*(-2 + 2 + 2*k) + 0*k**4 - k**4 + 0*k**4 + (k - k - 2*k**2)*(1 - 1 + k**2).\nAnswer: -33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21952803163.99999173 - 21952803270. Let o = c - -106. Round o to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - 1) + (3028 - 2973).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 3315598*m**2 - 66311360*m - 331555800.\nAnswer: -2*(m + 10)**2*(m + 1657779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2071*n + 170 = 2088*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 332, 0.5, 2, -1848?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*j**3*u**3 + 3*c*j**3*u**2*z - c*j**3*z + 3*c*j**2 + c*j*u**3*z - 5*c*z - 4*j**2*u*z wrt j?\nAnswer: 6*c*u**3 + 18*c*u**2*z - 6*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31589, -126615, -285075, -506969, -792297, -1141059?\n\"Answer: -31717*w**2 + 125*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*b + 4*g + 8, 4*g + 20 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12700000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let w(n) be the third derivative of -n**4\/6 + 3*n**2. Let j(i) = 28*i. Suppose -7 = 4*u + 5. Let z(y) = u*j(y) - 20*w(y). Calculate z(d(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*s + 9, 0 = -s - 3*s - 4*c + 20. Suppose 436 = 3*y + 4*h - 755, 4*h = -s*y + 790. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4232 and 11148.\nAnswer: 11794584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8.926*-10\nAnswer: 89.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/3 + 38587952*h\/3 + 186128754944288\/3 = 0. Calculate h.\nAnswer: -9646988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/41*(-48)\/(-8). Let s = -1459\/82 - m. Find the common denominator of s and -41\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3774177 = -67*g + 3781882 for g.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12001 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose 8 = d*v - 0. Let m be 6\/v*4\/(-10). Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 64*h + 269. Calculate u(-7).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-4) - ((-5)\/(-7175) - 2). Do 1 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -42.3168165?\nAnswer: -41.9168165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1100) - (sqrt(1100) - (-1 + sqrt(1100))*6) - sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100) + -4 + sqrt(1100)*-1)))**2 + 5)*1.\nAnswer: -480*sqrt(11) + 39621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1803*k + 1803*k + 471*k**3 + (0 - 3 + 2)*(-7 + 7 - 5*k**3) + 2*k**3 + 0*k**3 + 0*k**3 in the form i*k**3 + f*k**2 + g + y*k and give i.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 7 = -6*j. Let c be (-14)\/(-35) - (j + (-46)\/10). Suppose -42 = -2*m + 3*g + g, 0 = c*m + 2*g - 104. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72482.15 tonnes to nanograms.\nAnswer: 72482150000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5, 3*q = -f + q + 7. Suppose -1 - f = t + 3*c, 3*t - 4 = 2*c. Is 6\/(-2) - -26 - t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 14. Give h(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 3*j**2 + 1\/24*j**4 - 1\/6*j**3 + 0 + 1\/30*j**5 + 0*j. Is i(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241015 = -66*x - 241213 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -88?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046522744 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -117, -460, -1035, -1848, -2905, -4212, -5775?\n\"Answer: -v**3 - 110*v**2 - 6*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1157?\nAnswer: 115.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*o + 131*o + 144*o + 160*o.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**3 - 7*x**2 - 7. Let c(z) = z**2 + 9*z + 14. Let t be c(-6). Let o(n) = 7*n**3 + 4*n**2 + 4. Give t*k(b) - 7*o(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + 16.07. Let f = -8.202 - -13.202. Which is the smallest value? (a) f (b) 3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1184 - 928.1184. Let d = 911.98 + s. Let f = 16 + d. Is f greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2026998 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.409 + -0.209. Let n = -103 + 205\/2. Which is the nearest to -1? (a) 2\/5 (b) n (c) -9 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152194 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 72. Let p(d) = -2*d**3 - 22*d**2 - 23*d - 20. What is the lowest common multiple of r and p(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636642283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:14 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 2*o)*(3*o**2 - 3*o**2 + 2*o**2) + ((1 - 2 + 0)*(0*o - o + 0*o) + o - 3 + 3)*(-1 - 20 - 2)*(73*o + 15*o**2 - 73*o).\nAnswer: -688*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 2, x: 1, u: 1, e: 5}. What is prob of sequence ubb?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-11*11\/(-242))\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125034 divided by -687?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 11, 48, 111, 206, 339?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = h - 41, -5*h = -5. Let j = 9 + -4. Let a be 34 + -1 + -2569 + 2548. Solve 0 = j*v - a - y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 17 + 7. Let a(p) = -2*p + 15. Let s(m) = -m + 7. Let n(k) = -2*a(k) + 5*s(k). Calculate the lowest common multiple of 11 and n(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1804 and 656.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 5, 3\/19, 1, -2?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 18*m - 195*m - 46*m. Let k(p) = p. Give k(h(q)).\nAnswer: -223*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007973 rounded to 5 decimal places?\nAnswer: -0.00797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 441, 474, 531, 612, 717, 846?\n\"Answer: 12*u**2 - 3*u + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 - a + 1. Calculate the remainder when y(1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3 - 737242*m**2 + 67746040960*m + 35907209795704 = 0.\nAnswer: -527, 184574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2 + 79*n - 39*n - n**2 - 4 - 27*n. What are the prime factors of j(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**25)**(17\/5)*(r**38)**(-5\/12) assuming r is positive.\nAnswer: r**(-2923\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2974 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4 - 1)*(-31)\/((-98735)\/(-588)). Let z = 3 - 2. Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10438990153178 from 1.\nAnswer: 10438990153179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/210 - q**4\/21 + 4*q**3\/21 - 2*q**2 - 5*q. Factor j(u).\nAnswer: 2*(u - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -173, -713, -1607, -2855, -4457, -6413, -8723?\n\"Answer: -177*b**2 - 9*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 38 - 850*c - 48 - 8806*c.\nAnswer: -9656*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2729 - -2.2729. Sort 4, 2.9, 2\/13, f in descending order.\nAnswer: 4, 2.9, f, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 374?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5de (base 15) in base 7?\nAnswer: 3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 4 - 3\/5*v**5 - 7*v + 0*v**3 + 0*v**4 - 2*v**6 + 5\/2*v**2. What is the second derivative of f(q) wrt q?\nAnswer: -240*q**3 - 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**3 + 7*m**2 - 14*m - 41. Does 74 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 - -131. Let x = j + 35. Let q = 53 + x. Solve -3*c - y + 19 = 0, 5*c + 5*y - q - 23 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 + 1 - 1)*(-4*b + 5*b + b) + (2*b**2 - b + b - 3*b)*(0*b + 8*b + 7*b) to i + r*b**2 + p*b**3 + k*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1, 9, 0, -75803 in increasing order.\nAnswer: -75803, -5, -2, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 8*p + 21. Let h be x(-8). Suppose 2*r = 2*a + 2, a - h = -3*r - 2*a. Suppose -f - 15 = r*f, -4*v + 7592 = 4*f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1565 + 1573. What is the closest to 3 in 2\/9, f, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b80 + -2?\nAnswer: -1b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*sqrt(5)*-1)**2 + 2.\nAnswer: 32*sqrt(5) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 535 = q, 5*c - 865 = 5*q. Let b = 398 - c. Calculate the remainder when b is divided by (-254)\/(-8) - 3*(-4)\/48.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/978 and -28\/1209949.\nAnswer: 7259694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2736) + 4 + sqrt(2736))*-2 - (sqrt(114)\/sqrt(2)*1)\/((sqrt(24)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 12352*sqrt(19) + 708755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m - 1. Suppose 2*y + y - 3 = 0. Let t be r(y). What is the units digit of (t + -4)\/((-9)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-3\/7)\/(s\/s**4*s**(-8)) assuming s is positive.\nAnswer: s**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4, 1, 411.\nAnswer: 1, 3, 4, 5, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1290 = -17*l + 1158. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5194 + -2386. Does 36 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298 divided by -298\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143) - sqrt(143))*5)\/(sqrt(11) + 1*sqrt(275)) + ((sqrt(6292)*3 + sqrt(6292) - sqrt(6292)) + sqrt(52) - sqrt(52))\/sqrt(4)*3.\nAnswer: 193*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 + 2*o + 165. Let j(a) = -a + 1. Let p be j(1). Does 11 divide l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -23. Suppose 4*c + 10 + 2 = k. Let i be c - 0 - -5 - 144. What is i rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:59 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4213*t**3 - 2638*t**2 - 11*t. Let r(n) = -2107*n**3 - 1320*n**2 - 6*n. Let g(s) = 6*c(s) - 11*r(s). What is the third derivative of g(i) wrt i?\nAnswer: -12606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27063 divided by 9\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3269588.\nAnswer: 2, 7, 23, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.2. Let g be -5*(12\/5 - 2). Let b = -25 - -24.5. What is the biggest value in g, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*v - 6, -9 = -2*g - g. Let k be v - (-3)\/((-27)\/15). Do -1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133459 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 368, 825, 1464?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0238 + -269.9762. Let j = n + 518. Let m = j + -248.0000746. What is m rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6622928 by 254728.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-969)*(-247)\/(-858)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 10, 2, -6?\n\"Answer: -8*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -3 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - f + 10. Let v be c(0). Suppose -4*w = w - v. What is the first derivative of -1 + w*p - p - 4*p + 0*p wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60625633 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - sqrt(784)*6 - sqrt(16))\/sqrt(8))**2 - (3 + -4*sqrt(2))*-6.\nAnswer: -24*sqrt(2) + 3546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -7, 1.69, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287 + 284. Let u = 1.8 - 1.4. Suppose 4*m - 5*z = -36, 0*m - 4 = 5*m + 4*z. Which is the second biggest value? (a) u (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -34*d**3 + 6*d**2 + 21. Let a be 2\/(-7) + 528\/(-112). Is o(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 4*z**2 - 12*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -0*r - 5*r. Let q = r - -15. Suppose 3*j - g + 2 = 42, j - 3*g - q = 0. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281876 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277123 + -277127.17022. Let z = 4.2447869 + p. Let m = z - 0.0746. Round m to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 74\/6 + (-2)\/6. Let n(y) = -7 + 13*y + 8 + v. Suppose -62*m = -51*m - 22. Let p(l) = 3*l + 3. Determine m*n(o) - 9*p(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:58 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 1. Let p = 57 + -63. Let o(t) = 2*t**2 - 3*t. Let u(r) = 7*r**2 - 11*r. Let a(f) = p*u(f) + 22*o(f). Determine a(s(k)).\nAnswer: 8*k**2 - 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 168. Suppose 0 = -9*v + 107*v - 10290. Calculate the greatest common factor of u and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q**2 + 18*q**2 + 21*q**2 - 5*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357077 is divided by 44497?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -144200 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000429 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9389906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/143105 or 1?\nAnswer: 44\/143105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0 (c) 0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -3*h**4\/8 + 3*h**3 - 7*h**2. Does 5 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(325) - (1*sqrt(325) - sqrt(325))*6)**2 + 5 + 3.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4105 - 2301102?\nAnswer: -2252553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 3. Let k be -8 + 3\/((-9)\/h). Let r(m) = m**3 + 5*m**2 - 7*m - 8. Determine r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/5782 and -87\/56?\nAnswer: 23128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47160*f**3 + 44*f**2 - 7*f + 8 wrt f.\nAnswer: 282960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(-3\/22))\/v))\/(v*v**(-1\/8))*(v*v\/((v*v**(2\/17))\/v))\/(v\/(v\/(v\/(v*v*v*v**(-31)*v*v)))) assuming v is positive.\nAnswer: v**(-37593\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 2 + 2 + (0*o - o + 5*o)*(28 - 6 - 1))*(-8*o + 2 - 15*o - 13*o**2 + 22*o) in the form w + r*o**3 + t*o + z*o**2 and give r.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1575*s - 1578*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0*z + 0*z - 75*z**2 + 82*z**2. Let d(a) = -a. Calculate v(d(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1073, 5161, 12231, 22283, 35317?\n\"Answer: 1491*b**2 - 385*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*3*-3)**2.\nAnswer: 75411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.479, 2\/17, 1\/147?\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w**2 + 2*w - 1. Let j be m(1). Suppose r - 4*h - 60 = -r, -3*h - j = 0. Is 5\/(r\/(-12)) - -112 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24740.8 - 24741. Which is the closest to h? (a) -0.2 (b) 14\/11 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*q - 2*q. Let l be 1\/(-3 - q\/(-5)). Let f = 88 - l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 4*o. Let p(z) be the second derivative of z**3\/3 + 48*z. Let b(c) = 2*p(c) - u(c). Let x(h) = 10*h**2 + h. Calculate x(b(j)).\nAnswer: 40*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144819 is divided by 24106?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -13.24971?\nAnswer: -13.24971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115.7883 - 121.7. What is c rounded to 2 dps?\nAnswer: -5.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23598\/(-399) + 59)*(8 - 1)*2\/(-78).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -35*j + 45. Solve 32 = -5*u - 11*q + 14*q, -5*u = j*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20583 - 20580. Solve -i*y + 22 = -y + 2*q, -4*y = -4*q + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 168.737, 0.5, -3 in decreasing order.\nAnswer: 168.737, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times 0.43?\nAnswer: 0.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 87 = 16*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 91.6301 centuries?\nAnswer: 9163.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:54 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431738648.\nAnswer: 2, 13, 1499, 22013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at most 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1540503?\nAnswer: 1540506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 561.95 - 562.25. Let v = 2.02 - 0.02. Sort v, y, -7.\nAnswer: -7, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -7*w + 9*w. What is the highest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 + 127. Which is smaller: k or 2\/811?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1083\/58, 110, -50 in descending order.\nAnswer: 110, 1083\/58, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t - 1)*(-4 - 3 + 21)*(-t**4 - 2*t**4 + 5*t**4).\nAnswer: 28*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-51) + (-5)\/3. Let x(b) = b**3 - 9*b**2 + 7*b + 10. Let s be x(8). Let d = 6 - s. Put u, 10, d in ascending order.\nAnswer: u, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82762, 82750, 82738, 82726?\nAnswer: 82714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*l**4\/5 + 23408*l**3\/5 - 239322*l**2\/5 - 2309832*l\/5 + 27864\/5 = 0 for l.\nAnswer: -6, 1\/83, 18, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 0.75?\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -30 and -331456346304.\nAnswer: -331456346334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 60*n - 162.\nAnswer: -2*(n + 3)*(n + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001070307104 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 833 = 20*u - 14267. Let m = -633 + u. Calculate the remainder when m is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22029746 a multiple of 1789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22637352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6672435.97 - 0.13\nAnswer: -6672436.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*c - 29*c - 14*c**2)*(1 + 5 + 0)*(3 - 2 - 2) as b*c + m*c**2 + v and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -68, -155, -296, -503?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 6*b + 5. Let o be z(6). Let q(s) = s**2 + s + 1. Let l(y) = 7*y**2 + y + 2. Let x(t) = -l(t) + 6*q(t). What is x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.2. Let b = s - 0.01. Let k = b + -4.85. What is the biggest value in k, -1\/9, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*v**3 + 1963 - 1963.\nAnswer: 446*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:28 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 8*f + 2. Let i be h(8). Let p be 8 + (i - (-1 + 3)). Let j be (3\/6)\/(2\/p). Is j at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*c**5\/4 - 249*c**4\/4 - 1239*c**3\/4 + 441*c**2\/4 = 0. Calculate c.\nAnswer: -21, -7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (7 + 1)) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1374202482 and -48.\nAnswer: 1374202434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 8636?\nAnswer: 25908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:27 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1231, 824, 143, -812, -2041, -3544, -5321?\nAnswer: -7372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 4*l**3 - 5*l - 23 - 15 to s + c*l + n*l**2 + y*l**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t = -3488 + 134. Which is bigger: -157 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -1\/8, 0.07 in ascending order.\nAnswer: -2, -1\/8, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 36*l**2 - 3*l. Let z(s) = -2*s**2 + 162*s + 6. Let o(u) = -5*u**2 + 351*u + 13. Let p(r) = 6*o(r) - 13*z(r). Calculate m(p(k)).\nAnswer: 576*k**4 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 94.5. Let f = 103\/3 + -35. What is the closest to f in j, 0.5, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 2*d**2 + 2*d**2 - 3 - 3 in the form y*d**2 + g*d + h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -422 - -459. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7576607 is divided by 333?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 - (-41679)\/(-21). Let p = n - -39641\/20. What is the common denominator of p and -107\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -18919, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 394 = -391. Which is the third smallest value? (a) 1\/6 (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.6 (c) 7\/19 (d) -1\/130 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.4 - 10283446111?\nAnswer: -10283446234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 5*c + 7. Let p be m(-6). Let v be p - (-1 + 1*-8). Let w = v + 4. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(7)*-4 + ((sqrt(56)*-3)\/sqrt(8))**2 + sqrt(7) - ((sqrt(7) + 4 + sqrt(700))**2 + (sqrt(35)\/sqrt(20))**2).\nAnswer: -3207\/4 - 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 0*f)*(-19 + 54 - 93 + 0 - 3 + 2 + (0 - 4 + 6)*(-3 + 3 + 1) + 0 + 1 - 3).\nAnswer: 118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 168600488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -914809 or -914686?\nAnswer: -914686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13654 - 1343?\nAnswer: 12311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 2*y + 3. Let j be b(3). Let u be ((-4)\/10)\/((-3)\/j). Let 0 + 2\/5*d**3 - 4\/5*d**u + 2\/5*d = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.47925 and 1486.\nAnswer: -712.1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 405*s + 6477. Let o be u(-16). Sort 4, o, 0, 14, 1 in ascending order.\nAnswer: o, 0, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 274, 1114, 2496, 4420, 6886, 9894, 13444?\n\"Answer: 271*y**2 + 27*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 2*f**3 + f**3)*(-5*f**2 + 2*f**2 - 4*f**2) + f**5 + 2*f**5 - 5*f**5 - 3*f**3 + 3*f**3 + f**5 + (-2*f**3 - 2 + 2)*(0*f**2 + 4*f**2 - 3*f**2).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)\/u**6*u*u**(-1\/4)*(u*u*u\/(u*u**(-3\/4)))\/u assuming u is positive.\nAnswer: u**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*g + 4 = 0, -2*o - 3*g - 2 = -g. Put 0.4, 2, o in descending order.\nAnswer: 2, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24118 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 124.07. Let v = -0.07 + q. Let o be (0\/2)\/((-1)\/1). What is the closest to -1 in 1, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227213 is divided by 15991.\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + (-1 - 1)) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 18*v**3 + 9*v**2 + 30*v.\nAnswer: 3*v*(v - 5)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/47128 and -73\/4?\nAnswer: 47128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**2 - 118*c - 56. Determine r(18).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 87 + 6*f**2)*(2 - 2 - 3*f) + (-3*f**2 + 4*f - 4*f)*(2 + f - 2).\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2233)\/42427*(9\/15)\/(3\/(-15))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042618 to four dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*f - 48000000. Round f to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + c?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Let a = -332 - -334. Suppose -12 = -d + b*c, -d = 4*c - a + 4. Let y(m) = m**2 - 4*m - 6. Give y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2 + 4) + (-86 - -80)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4325623 (base 9) in base 7?\nAnswer: -25502250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -38, -681, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*h = 4 - 14, -5*j = -4*h - 10. What is the smallest common multiple of 7 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -472 - 1626?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -22210?\nAnswer: 221b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/120 - c**5\/10 - c**4\/12 - c**3\/6 + c**2. List the prime factors of k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = 3*s. Let p be -2 + (9\/1)\/s. Solve 0 = b + 2*r - p + 12, -3*b - r = 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let c(g) = g**2 + 2*g**r - 4*g**2. Let l(w) be the second derivative of -w**4\/12 - 6*w. What is c(l(h))?\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p + 2. Suppose 0 = -4*n + g + 24, -n - 2*n = -g - 18. Suppose -5*x = -3*x + n. What is z(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.84, 0.2, -27710\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 28563248.\nAnswer: 28563248.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - i - 112 = 0, -7*n = -2*n + i - 548. Let o be (-14)\/n + (-6)\/(-15). Is 2\/11 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 + -175. Solve -o*z - 4*q = 4, 2*q + 16 = 5*z + 3*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153451*k**4 + 1250*k**3 - 1112*k**2 + 1627*k + 58.\nAnswer: -3682824*k + 7500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -42 + 9. Let f = -11 + q. Let b be (-11)\/f*(-16)\/6. What is the closest to 0 in b, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + 59*h**2 + 162*h + 107. What is the remainder when 566 is divided by a(32)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5\/4 - 9861*l**4\/4 + 4117419*l**3\/2 - 53865795*l**2 + 51809550*l = 0. Calculate l.\nAnswer: 0, 1, 26, 1630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (846\/(-1504))\/(((-6)\/(-8))\/1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1220 = -v - 4*b, 1226 = 2*v + 2*b. Suppose -v = -12*i + 4*i. Let q be (-33)\/i - 34\/(-14). Solve -u = -3*m + q + 1, 0 = 3*m + 2*u - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(392))\/sqrt(8))\/(4*(sqrt(7)*-3 + sqrt(7)))*-4)**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 16 - (-18 - (-11 - -12))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3))**(-2\/63)*b**(3\/7)\/b**8)**7 assuming b is positive.\nAnswer: b**(-485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:47 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 25650 = -151*v - 307*v - 133*v for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.2. Let u = 0.3 + t. Let s = 77565 - 77561. Sort 1, s, 0.1, u in decreasing order.\nAnswer: s, 1, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5 + 875*h**4 - 5505*h**3 - 13615*h**2 - 7240*h = 0. What is h?\nAnswer: -181, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 2, u: 1}. Give prob of picking 1 u and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 285, -1.52, -19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/36 - 5*z**3\/6 + z**2\/2 - 34*z. Let y(v) be the second derivative of o(v). Let f(w) = 5*w. What is y(f(b))?\nAnswer: 250*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.3 + -40.3. Is y >= 6.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217734779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 - 124.99936. What is c rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5 + 12*w**4 - 840*w**3 - 8624*w**2 = 0.\nAnswer: -14, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 3*y - 14. Let q be v(-6). Put q, -8, -2\/7 in decreasing order.\nAnswer: q, -2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -55\/2. Let -5\/4*r**2 + 0 + 1\/2*r + z*r**3 = 0. What is r?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**3 - 5*m**2. Let v(s) be the third derivative of s**6\/24 - s**5\/30 + 2*s**2 + 12*s. Determine -2*q(t) + 5*v(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - -2 - (25 + -44 + 22).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5653.422 rounded to zero dps?\nAnswer: -5653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6116750 (base 8) in base 13?\nAnswer: -446411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from uzuzkkzzzzkzqkuzzz.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*w + 60 = 2*j, j - 3*w - 34 = 0. Let u(p) = p - 1. Let q(b) = 10*b - 12. What is j*u(x) - 2*q(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3679 + -33a?\nAnswer: 333b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t + 4*l + 67, -2*t + 2*l = 34. Let z(h) = -12 - 9 + 21*h - 3*h - 20*h. What is z(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-82644)\/4260 + 2\/1*(-70)\/(-20))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 5. Let r be j(-6). Suppose x + h = -2, -x + h = -2*h - 14. Suppose x*l = r + 9. Calculate the remainder when 32 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + o - 243 = -7099, 0 = -5*j - 5*o + 6850. Does 41 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7339575.\nAnswer: 3, 5, 97861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 - 2*c**2)*(-7*c - 15*c + c) - 8*c**3 + 14*c**3 + 153*c**3.\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 + 3*s + 9. Let y(d) = -3*d**2 - d - 4. Let b(k) = -82*k**2 - 494*k - 7. Let x be b(-6). Give x*y(f) + 2*p(f).\nAnswer: -3*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -970 = -109*u + 120 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1010 and 64\/5575?\nAnswer: 1126150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/z**(1\/12))\/z)\/(z**(-3\/8)\/z))**(-1\/90)\/(z**3\/z*z**(-3\/2)*(z*z**1*z)**(6\/7)) assuming z is positive.\nAnswer: z**(-9365\/3024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/44430 and -133\/44127876?\nAnswer: 220639380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*x - 3*k, 0 = -89*k + 87*k - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-3)\/(330\/(-20))). Let m be (-8)\/4 + 0 + 1 + 1. Solve y*h - 8*h = m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 8347532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 1, m: 1, o: 2, q: 2}. Give prob of sequence qlmo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -22 (b) -537 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174\/13 or -12?\nAnswer: -174\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -9. Suppose -4*c + 88 = q*l, 0 = -0*l - l - 4*c + 16. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7314061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5615 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 125496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993769 is divided by 564?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6))**(2\/5)*((((s**(-18)\/s*s)\/s)\/s)\/s)**(-2\/41) assuming s is positive.\nAnswer: s**(671\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78814 is divided by 251.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 9 = 0. Suppose -j*u + 29 = 4*k, 4*u + 0*k - k = 45. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2 - 72*z + 68 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19148779 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-10)*3*2. Let j be ((-2)\/(-20))\/(3\/12). Let m = -23 + 28. Which is the third smallest value? (a) m (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22) - 34\/66?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/126 + 131\/630. Is t less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -367 - -366.9. Which is greater: d or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by 227735.\nAnswer: 84\/45547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001065 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5106, -22021, -50746, -91281?\n\"Answer: -5905*z**2 + 800*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41561485*c**2*p - 12*c*p - 1097304*p wrt c?\nAnswer: 83122970*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 42*w - 14. Let o be b(-10). Solve 4*i - 4*u = -16, -i + 3*u = -o*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (861\/164)\/(8\/6*(-3)\/(-16))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -288b (base 12) to base 9\nAnswer: -6418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-2)\/f)\/f*f)\/(f\/f**(-1\/3)))**(-22) assuming f is positive.\nAnswer: f**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*i + 2049 - 609. Calculate the lowest common multiple of 66 and i.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 = 1928*h - 1863*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, 0 = -2*b + 3*b - 3*t - 57. Suppose -3*q + b = -0*q. What is the remainder when q is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 233.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 3*d**2 - 3*d**2 + 2*d**5 - 2*d**5 + 0*d**5 + 0*d**5 + (-d + d + 2*d)*(2*d**4 - 5*d**4 + 2*d**4).\nAnswer: -2*d**5 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 80042553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125.592 - -126. Let m = 0.3716 + -0.3636. Let i = f - m. Put 1\/3, i, -2 in descending order.\nAnswer: i, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - (-400 + 396 - (-1 - -12))) + 13 + -47.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 330502 (base 7) in base 14?\nAnswer: 17139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 2*p**2 - 13*p + 11. Let n(i) = i**3 + i**2 + 7*i - 6. What is 11*n(x) + 6*o(x)?\nAnswer: -x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = -140. Let o be 8\/m*10*1. Solve 2*c = -f + o, 0 = c + c - 5*f + 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/21)\/(-14 - -12). Let m(u) = 6*u - 21. Let q be m(5). Is h at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 + 5*i - 5. Let q(p) = -6*p**2 + 8*p - 8. Let d(z) = 5*q(z) - 8*y(z). Let c(h) = h. Calculate d(c(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 129 + 0.071\nAnswer: 129.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33394193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 537.14125012299.\nAnswer: 538.14125012299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 40 = -c - 5*d, 8 = -2*d. Sort 2, 1, c in decreasing order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 11*d**2 - 6*d + 5. Determine b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 3, z: 5, y: 4}. What is prob of sequence zz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -529\/1361?\nAnswer: -529\/1361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 = 4*i - h, 6 = -4*i - 2*h. Which is the biggest value? (a) 5 (b) 5\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -45*r - 1. Let q(j) = -30*j. What is q(g(z))?\nAnswer: 1350*z + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 422*m + 44521.\nAnswer: (m + 211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 195 + 91 = 0. Suppose 3*y - y + 2*q - 18 = 0, -4*q + i = 2*y. Solve -3*s + y - 22 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*14\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 + 3. Let u = 4.6 - p. Let h = -259\/3 + 85. What is the second smallest value in -1, u, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 2*z**2 + 4*z + 3. Let h(a) = 11*a**3 - 2*a**2 + 2*a - 1. Let n be h(1). Let x be 6 + 1\/2*2. Let y = x - n. Give t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 1.23 (c) -2\/5 (d) 682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*w - 17. Let o(q) = -6*q - 5. Let z(n) = 5*n + 4. Let s(p) = w*o(p) - 5*z(p). Let t(g) = -2*g**2. Give s(t(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -117, -412, -991, -1950, -3385?\n\"Answer: -16*w**3 + 2*w**2 - w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 = -16. Let d be (-10)\/(-6)*y - -1. What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8952 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1225 divided by -5072.\nAnswer: -1225\/5072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.28 and 1316.\nAnswer: 368.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**8\/504 - l**7\/105 + l**6\/135 - 5*l**3\/6 + 4*l**2. Let f(h) be the first derivative of w(h). Factor f(a).\nAnswer: 2*a**2*(a - 2)*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1272*b**3 - 66*b**2 - 3*b + 35. Let m(j) = -1272*j**3 - 69*j**2 - 2*j + 25. Let d(l) = 2*a(l) - 3*m(l). Find the third derivative of d(r) wrt r.\nAnswer: 7632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 - 10) - 2 - 31.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 less than 192.1686069571?\nAnswer: -803.8313930429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*r + 19, j + 3*j - 24 = 3*r. Calculate the lowest common multiple of 20 and 0 + j - 3\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by -19.\nAnswer: -370\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 10, 2\/3, -5.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*2 - sqrt(196))\/(sqrt(7) + sqrt(1512)\/sqrt(6)) + 3.\nAnswer: 2*sqrt(7)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*o + 5*y - 23 = 0, 5*y - 8 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -722259.2 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -3*(sqrt(102) + (sqrt(102) - ((sqrt(102)*1 - sqrt(102)) + sqrt(102) + sqrt(102)))))\/(sqrt(72)\/sqrt(48))*1.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*w*(w\/(w*w*w**5*w)*w)\/w)\/(w*w\/(w\/w**(-1\/2))*w*w*w**(1\/5)*w*w) assuming w is positive.\nAnswer: w**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*d = 0, -8*d + 13*d = -a + 10. What is the units digit of (-7504)\/(-24) + a\/(-27)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8573 by -2.\nAnswer: -8573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 106 - 509 = 0. Let u = k + -91. Solve 5*o - u = -7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 743 divide 102778447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 83297673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 10, 40, 86, 148, 226?\n\"Answer: 8*o**2 - 10*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 248 * 0.05\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122110 - 0?\nAnswer: 1122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2. Let c(o) = o**2 + 9*o + 2. Let r = -26 + 17. Let j be c(r). Let a(v) = -22 + j*v + 22. Calculate a(x(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) - sqrt(40)\/(sqrt(24)\/sqrt(3))) + (-3*(1 + sqrt(5) - sqrt(5)))**2 - ((((sqrt(5) - sqrt(80)) + sqrt(5))*5 + sqrt(5) - (4 + 2*sqrt(5))) + 1).\nAnswer: 14 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aa (base 15) in base 9?\nAnswer: -1127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000092261 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + 4 + 8 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333268642.\nAnswer: 2, 7, 191, 124633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -35*o**2 - 720*o - 2135. Let j(q) = 3*q**2 + 60*q + 178. Let i(s) = -2*d(s) - 25*j(s). Factor i(c).\nAnswer: -5*(c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = w - 4*p, 4*w - 3*p - 4 = 19. Solve -w*x + 3*b + 6 = -2*b, -3*b = -3*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2182200 divided by -4.\nAnswer: 545550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1377)\/(-135))\/(1\/815). Let l = x - 299207\/36. Calculate the common denominator of l and -57\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43865, -5, -7 in decreasing order.\nAnswer: -5, -7, -43865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 - 135. Suppose -5*b - r = -0*b. Does 8 divide (13 + b)\/((-4)\/82)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92466, 184958, 277424, 369852, 462230, 554546?\n\"Answer: -2*n**3 - n**2 + 92509*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 255 - 95. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -148 (base 9) to base 8.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d - 8*d**2 - 10*d + (-d - 4*d + d)*(4*d - 2*d - 7*d) to the form x + j*d**2 + b*d and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4862 (b) -1 (c) -8 (d) -192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 12*s + 38. Give l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.5087 and 6?\nAnswer: 39.0522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1301 - 224. Does 39 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418805\/4 equal to 604701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrsbsskbsbbkgsb. What is prob of sequence bgs?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = 5*i - 4, -2*i - 18 = -2*q. Suppose -58 = 4*x - 66. Suppose 6 - 6 = x*p. Solve q*j - 4*j - 5*s - 21 = p, -2*j - 3*s - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d - 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**4 - 4*n**2 - 2*n + 1. Let q = 6 + 2. Let d(a) = 3*a**2 - 2*a**4 + 5*a + 2*a + q*a**2 - 2. Let j(g) = -2*d(g) - 7*f(g). Factor j(b).\nAnswer: -3*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2499 and 24752.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1645179 or -1645181?\nAnswer: -1645181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 134\/(-6)*33\/(-110) and 62\/(-3)*9\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (88 + -92).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 5*j - 108. Is 1*10*(-2 + j\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - (-23 - (7 - -1)). Calculate the highest common factor of m and 1456.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*g*h*l - g*l + 23*g - 12*h + 3252*l**4 + 566 wrt l?\nAnswer: 27*g*h - g + 13008*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1063\/522 + 15\/58. Let n = c + 98\/45. Let w = 2575 - 2574. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 + 5*w - 7. Let z be b(-5). What are the prime factors of 9\/(-15) - z\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*s - 6, s - 4 = -m - 0. Suppose s*u = 3*x + 48, u - 4*u + 3*x = -75. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 43. Let u be (q\/((-135)\/10))\/((-2)\/111). Let g = 39 + u. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 47*q**2 - 43*q + 1993. What is a(47)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15*7\/21 + 28\/6. What is the second biggest value in 9, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5202 + -2419. What are the prime factors of i?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -581*p**2*q**3 - p**2*q**2 - 683*p*q**3 + 365066*q wrt q.\nAnswer: -3486*p**2 - 4098*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 289\/47360?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2 and 95\/296642?\nAnswer: 296642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 4*r**2 + r. Let o = 3 - -1. List the prime factors of l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197831.1 rounded to the nearest 1000?\nAnswer: -198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k**2 - k)*((5*k - k - 3*k)*(7*k - 4*k**2 - 7*k) + 2*k**3 - 6*k**3 - 10115*k + 10117*k + 105*k**2).\nAnswer: 16*k**5 - 210*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -868 + 1809\/2. What is the common denominator of 6\/19 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzz when three letters picked without replacement from {v: 3, d: 9, w: 2, z: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -33. Solve -28 = -0*z - 2*z + x*p, 5*p + 5 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-3.128\nAnswer: -21.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39893 by -41.\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5551959468 to the nearest integer?\nAnswer: 74511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(18\/4 - 3). Suppose -5*i - 5*o + 15 = 0, q*i - 2*o + 6 = -0*o. Let n = -65\/4 + 451\/28. Is i greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 - 5 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**2 - 2*y + 6. Let f = 50 - 45. Let n(w) = 2*w**2 - w + 3. What is f*n(c) - 2*d(c)?\nAnswer: 2*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 64105033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (11 - (-1 - (3 - 6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o - 1. Let h = 3 - -2. Suppose 1 = -3*l + 2*u - 3*u, h*l - u = -7. What is z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1035603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0 + 3 - 14*l + 15*l. Let t be c(0). Suppose -2*i + 180 = t*i. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64\/247 - 2\/19. Let k = -0.5 + 0.3. Let a = k - -0.7. Sort j, a, 3.\nAnswer: j, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 185 + 377 - 190.\nAnswer: -3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 - 363*s**5 + s**2 + 22*s - 43?\nAnswer: 240*s**3 - 21780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czccccccaccczac. Give prob of sequence azc.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/4 + 62721*g\/4 + 3375270 = 0. Calculate g.\nAnswer: -62505, -216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15*i + 490. Give j(34).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 84948 in decreasing order.\nAnswer: 84948, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*u = 24, -42*k + 0*u = 52*k - 96*k - u + 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22235612655 - 22235612562.00000043. Let u = -92.811 + -0.189. Let l = u + v. Round l to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -477*s + 10208. Determine f(21).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/29)\/f)\/(f**(1\/4)\/f))**(3\/13) assuming f is positive.\nAnswer: f**(-15\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/20 (b) 0 (c) -1 (d) 0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 212?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42267317.\nAnswer: 1109, 38113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n)**(-27)*(n*n**(1\/3))\/(((n\/((n*n**(-4))\/n)*n)\/n)\/n) assuming n is positive.\nAnswer: n**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.113 in 3, 1, 2\/21, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16708 is divided by 643?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r - 8. What is the lowest common multiple of 8 and x(-5)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -136, -137, -138?\n\"Answer: -k - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37359 is divided by 12426?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*1*-6. Suppose -2620 = -4*n - f*q - q, -4*q = -4. Suppose -n = -5*h + 161. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 - 356998*q**2\/3 + 21241024000*q + 84966000000.\nAnswer: (q - 357000)**2*(q + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {p: 4, u: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82634123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p - 62 - 658 = 48 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411, 5, -3\/4.\nAnswer: -3\/4, 5, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 16*q**2 + 4*q + 65. Calculate g(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 266*l + 1908. Let k be c(7). Suppose -10 = 2*v - 2. Let t = -4 + 4. Sort k, v, 8, t in descending order.\nAnswer: 8, t, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -22*a + 15. Let u be (a + (-652)\/16)\/((-3)\/468). Let p = -4424 + u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from zzzzzzzzzzrz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -29. Let h = x + 21. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:50 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-36) - (-2)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*a - 10*a**3 + 5*a**3 - 4*a**3 - 271*a.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 93194 = 2*j + 5*a, -3*j - 4*a = -139837. Let q(s) = -46607 - s**2 + j. Let i(x) = -6*x - 4. Calculate i(q(k)).\nAnswer: 6*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -66 (b) -158578 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1343569 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 + 1585 = 418*s - 474*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -m - 11, -4*m - 349 - 374 + 707 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b9939 (base 13) in base 14?\nAnswer: 145822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/24)\/(43\/6536).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2*x - x)*(5 - 3 - 4 + 1 + 1 - 3 + (2 + 1 - 2)*(2 - 3 + 2)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 1. Let s(m) = 8299*m**3 + 242*m**2 - 2*m - 6. Let t(k) = s(k) - 4*u(k). What is the third derivative of t(l) wrt l?\nAnswer: 49794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57.8 + -303.8. Let v = y - -244. What is the third smallest value in 1\/7, -0.5, v, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7506 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -73. Let m = 21 - k. Calculate the remainder when 131 is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q - 8 = -65*q, 3*s = 3*q. Solve -5*a - s*c = -5, 117*c = 116*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 1:01 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1277 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -564*t**3 - 1284*t + 271098?\nAnswer: -1692*t**2 - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 43*x + 21. Let i be g(-44). Solve 57*v = i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1750\/(-2925) - 1\/(-3)*(-76)\/(-57). Let j = 2.96 - -0.04. Let f = -0.3 - -0.4. Which is the nearest to f? (a) 0 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/10*(-4)\/(-6). Let k be (-111)\/(-21) + 4\/(-14). Let y be (-13)\/5 - (3 - k). Which is the third biggest value? (a) y (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -537854, 178, -2, 2, -1 in decreasing order.\nAnswer: 178, 2, -1, -2, -537854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1081792941.8 + 1081792561.80000264. Let r = x - -380. Round r to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 907277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340 + -337. Suppose -q*k + 0*k - h = -386, 2*k - 3*h = 250. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 16960?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 471416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15447688219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27461927?\nAnswer: 29, 347, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-6) + 4\/6. Let u(v) = 3*v**2 - 30*v + 31. Let o be u(9). Solve 23 = o*t + x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 14*b - 2*q - 10, -1 = b - q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -602, -649, -734, -863, -1042, -1277?\n\"Answer: -y**3 - 13*y**2 - y - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guuuuggzguzggzuzug. Give prob of sequence gz.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*x - 6*x + 1 - 5*x)*(2*x + 24 - 24) - 6*x**2 + x**2 + 3*x**2.\nAnswer: 8*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**6 - 119*d**3 + 2061*d**2 + 25*d**3 - 2059*d**2 - 652*d wrt d?\nAnswer: -1080*d**3 - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/6 - 16*v**3\/3 - 8*v**2. Let z be u(11). Suppose -x = x + z. Calculate the common denominator of x and 16\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {b: 4, n: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/6 + 956*x**3\/3 - 94279*x**2\/3 + 705992*x + 4818807\/2 = 0. What is x?\nAnswer: -2007, -3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18674 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 38*i + 2. Let l be u(8). Suppose 19*o - 38 = l*o. Calculate the remainder when o is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90102554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*q + 4*q. Solve 25 = -q*g - 3*w, 0*w + 5*w + 50 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and 37\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q**2 - q + 8. What is y(-5)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:38 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/23? (a) 0.06 (b) 16.5 (c) 5.3 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + 29\/((-232)\/(-208)) + -5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -4 - 3) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8) + (4 - -2) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**2 + x**5 - 11*x**5 - 5*x**5 - 3*x**5 wrt x.\nAnswer: -1080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1553, -1562, -1575, -1592, -1613, -1638, -1667?\n\"Answer: -2*x**2 - 3*x - 1548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in 29202, 1\/30, -2\/5?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 l when three letters picked without replacement from {d: 1, m: 2, w: 1, i: 1, l: 1, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*t - 216, 90*t - 25 = 85*t. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 437 = 119. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/743 + -3006\/12631. Which is the nearest to -1? (a) 0.2 (b) -3 (c) -0.5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b3d0 (base 16) to base 7\nAnswer: 3114353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 44 = 14. Let b = z + 2. Let u = 13 - b. What is the lowest common multiple of 7 and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512 (base 10) to base 12.\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 + -2022112001?\nAnswer: -2022120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2005 - 2005 + 6*y**2. Let u(c) = -3*c. Let d be u(-2). Let f(x) = -d + 6 - x - 2*x. Determine k(f(v)).\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -57*h + 162. Suppose -2*w + 20 = -h*p - 2, 2*w - 3*p = 18. Let o(f) = -2*f - 2. Let c be o(-3). Solve -c*x - 18 = v, x = -v - w*v - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 39 = 5*w, 0 = 1950*w - 1986*w - c - 173 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 - 2 = 5*k, 0 = -3*f + 12. Let q = 5 + k. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.2 + 12. Let n = -579 - -578. Which is the closest to t? (a) 0.1 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z. Let i(b) be the third derivative of -b**5\/30 - 8*b**2. Calculate t(i(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7427*k - 20082 = -5798*k + 287*k - 7144 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l. Let i(h) = 6*h. What is 4*i(c) - 5*y(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1213 + -1?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 477819673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -327*h**3 + 348*h**3 + 21 - 54 wrt h.\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2 + 40*s - 16. Let m(n) = 17*n**2 + 82*n - 32. Let p(w) = 6*m(w) - 13*y(w). Is p(-14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17194*m**2 - 49091*m**2 - 1371*m**2.\nAnswer: -67656*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m - 2*m + 2*m - 3 + 3 + (-1 + 2*m + 1)*(-6 + 2 + 2))*(1181*m + 4 - 4 - 1072*m) + 242 + 9*m**2 - 242 as i*m**2 + p + y*m and give i.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 802338 - 442342. Suppose -3*k = -4*k + s. Suppose 4*i - k = -3*t, -4*t + 177 = 4*i - 479819. What is t rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638908.\nAnswer: 2, 3, 73303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 0.4 (c) 504 (d) 0.1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14)\/w**13*(w\/w**4)\/(w\/(((w*w*w**(-2\/15)*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 751*x**2 + 52*x + 41. Is 172 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-6)\/18*(-18)\/(-2)))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 3*m + 26, 8 = 2*j + 2*m - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -1\/7, -3\/2, 3\/2, -8, -2\/83?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + a**2 + a + 2. Let s(b) = -2*b**3 - 186*b**2 - 147*b - 16. Let g(m) = 6*f(m) + s(m). What is the second derivative of g(v) wrt v?\nAnswer: 24*v - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d + 26*d**4 - 21*d**4 + 45*d**2 + 30*d**3 - 2*d.\nAnswer: 5*d**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1602, -5, 5 in decreasing order.\nAnswer: 1602, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 301770177 minus -7?\nAnswer: 301770184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -492 - -705. Suppose 38 - s = -z. Suppose 0 = 5*t + 5*y - 145, z = 5*t - 4*y - y. What is the highest common divisor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*6*(sqrt(200) + -1 + sqrt(200)).\nAnswer: -600*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1617 (base 13) to base 11.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 304 = -14*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/6*2*(-8)\/20. Suppose 5*v - 5*t - 460 = 0, -l = -4*t + 2. Let x be 1\/2*-1 + v\/62. Solve 3*y + 2 + x = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(252)*1 - sqrt(252)) - (2 + sqrt(252) + sqrt(252))*5 - (sqrt(1008)*-2 - sqrt(70)\/(2*sqrt(10)))*-1) + -3)**2.\nAnswer: 1521*sqrt(7) + 200251\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000 + -43?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9083 is divided by 72?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a + 2. Give t(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 427 * -7036\nAnswer: -3004372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24\/108)\/(4\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - t + 3*t)*(0*t**2 + t**2 - 2*t**2 + (3 - 4 + 2)*(-4*t**2 + 8*t**2 + 37*t**2)) as l*t**3 + i + v*t**2 + w*t and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6*j + 15 = 3*j, -o + 2*j + 10 = 0. Solve o = -s - 0*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 50 = -4*n - 4*z, 0 = n - 4*z + 10. Let i be 4\/n*90\/(-6). Factor 2*t**4 - 8 + i*t**2 + t**3 + 5*t**3 - 2*t**3 + 4*t**3 - 8*t.\nAnswer: 2*(t - 1)*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r + 32*r + 48*r)*(1 + 1 - 1) - 2 + 2 - r.\nAnswer: 93*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 0.23 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-27)\/c**40)\/(c**(-6\/13)*c)**(-36) assuming c is positive.\nAnswer: c**(-619\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 460638528?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c951 (base 16) to base 15.\nAnswer: 1040c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*400\/280.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 4*n, -5*o + 31 = 4*n - 5*n. Let j(r) = -3*r + 12. Let g(z) = -z**2 - 5*z + 25. Let t(v) = o*j(v) - 4*g(v). List the prime factors of t(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 91\/1628 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u**2 + u**2. Let d(k) = -k**3 - 12*k**2 + k + 15. Let g be d(-12). Let x(j) = -10*j + j + 8*j + g*j. Give p(x(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.322339 rounded to 0 decimal places?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + w - 67 = -13, 0 = 9*w - 3*w. Calculate the lowest common multiple of 2694 and k.\nAnswer: 24246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4729291*d + 4728803*d + 19520 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 21*s**2 - 7*s - 87. Suppose -302 = -12*g - 62. What is the units digit of z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(3 + -223)\/(-4). Let l be (c\/10 + -3)*(-12)\/(-10). Let s be (-1536)\/9*(3\/2 - l). What is the greatest common divisor of 32 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 13227?\nAnswer: 13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1215))\/((sqrt(500) - sqrt(500)*-2) + sqrt(500)) + 0 + (4 + -3*sqrt(75) - (sqrt(75) + -5 + sqrt(75)*2 - sqrt(75))))**2.\nAnswer: -4419*sqrt(3)\/10 + 755643\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + l + 1 = 0, 0 = -3*r - l - 3*l - 6. Solve -r*s + 25 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1084 + -575\/35772. What is the second smallest value in l, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2085)\/(-340) + (-2 - -54*28\/714)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 10. Suppose -3*s - 40 = -3*k + 23, 2*k - 35 = -5*s. Let t be 3\/2*k\/6. List the prime factors of v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -8, -2, -7, -15 in descending order.\nAnswer: 4, 0, -2, -7, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94.245 and 12.\nAnswer: 1130.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -o + 20. Which is the nearest to 1\/2? (a) -0.5 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**8\/168 + x**7\/21 - 2*x**6\/15 + 2*x**5\/15 + 2*x**2. Solve q(h) = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 53*d = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.4, 144, -0.3?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 + 3. Let p(w) be the second derivative of -w**4\/3 - 2*w**2 - 4*w. Let t(f) = -5*b(f) - 6*p(f). Determine t(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34514321 (base 6) to base 15.\nAnswer: -1614cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + 12 + -6 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2601, 5 in descending order.\nAnswer: 5, 4, -2601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/8 - 6*f**2. Let p(q) = 7*q**2 + q**2 - 8*q**2 + q**2. Calculate u(p(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d + 1809 = 189*d - 5525 - 7980 for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - n + 0*n)*(7*n - 7*n - 20*n + (-2 + 3 - 3)*(2 - 2 - 2*n)) in the form x + g*n**2 + o*n and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from evlgkmme?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65702, 262812, 591328, 1051250?\nAnswer: 1642578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 10:11 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 92*c**3 - 3*c**2 - c - 2. Let w be m(2). Suppose 0 = 13*v - w - 1373. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -4*l**3 - 4. Let c(q) = -2*q + 2. Let k(z) = -2*z + 1. Let t(n) = -c(n) + 2*k(n). Calculate t(j(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*v**4\/11 + 5438*v**3\/11 - 5812*v**2\/11 + 34*v\/11 = 0.\nAnswer: -17, 0, 1\/170, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/27 and 55\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/14 - 1253\/392 and -67\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421352 is divided by 2195?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - 123*w - 871. Determine v(-13).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -29*d**5 + 106*d**4 - 90*d**3 + 30*d**2 - d. Let j(u) = -59*u**5 + 211*u**4 - 180*u**3 + 61*u**2 - u. Let x(c) = 2*j(c) - 5*k(c). Factor x(z).\nAnswer: z*(z - 3)*(3*z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19222, 38441, 57660?\nAnswer: 76879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83703.29 decades?\nAnswer: 10044394.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 4*y**2 - 4*y + 6. Let r be 2\/6 + 4\/(-12). Suppose -4*q = -r*q - o - 14, 4*o = -2*q + 16. Determine w(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x + 2*x**3 + 28 + 0*x**3 - 21*x**2 - 26*x - 5 + 0*x**3. Let n be a(12). Let p(h) = h - 1. Let f(l) = 3*l**2 - 4*l + 3. Give n*f(o) - 3*p(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 278, 276, 274?\n\"Answer: -2*s + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 40365*n + 40370.\nAnswer: -5*(n - 1)*(n + 8074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 11*c**2 + c - 15. Suppose -18 = -7*j + 5*j. Let s = j - -2. Let q be r(s). Put 6, q, -3 in decreasing order.\nAnswer: 6, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 63815697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238285 and 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 - 4*(-3)\/6 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 64018776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u + 2 = 0. Suppose -u*x - 136 = -2*p, 3*x + 317 = 4*p + 8*x. Let a = p - 41. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, -0.5, 4, -413, -6, -0.2, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 3) + (-2788)\/(-6528) and -29\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-7 - (-4 + 2)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(4\/14 + 137\/(-14)). Let s = -63 + b. Let y = s - -8. Solve 4 = -y*a - 0, 0 = -3*z + 3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7938)\/(-19845)*(-20)\/168?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(3\/(-3)). Which is the closest to w? (a) 2\/9 (b) 2\/15 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.3. Let w = m - -2.9. Which is the nearest to -1\/4? (a) -2\/3 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from seeoehqveee?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 34*y**2 + 2*y + 39. Is m(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -2*(sqrt(3) - sqrt(15)\/sqrt(5))))**2*-5.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.081 = 754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5461607 and 7733.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63848591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 13. Let b be c(9). Solve -z + 16 = -b*t + 2, -4*z + 18 = -t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Suppose i = -3*i + 12. Let f(r) = 2*r. Let l(z) = -z**2 + 3*z. Let v(p) = i*f(p) - 2*l(p). Determine v(o(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16*j**(-16)*j*j**(2\/13)\/j*(((j*j**2\/j)\/j)\/j)\/j)**(1\/27) assuming j is positive.\nAnswer: j**(-11\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/9 + 1116*j**2 - 1868184*j + 1042446672 = 0. What is j?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 51 - 12)*(4*p - 3*p + p) - 2*p + 17*p - 5*p.\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1009279 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7cc3 (base 16) to base 11.\nAnswer: 21aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -112*s + 226. Let t be u(2). What is the smallest value in t, -3, 3.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1320519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4760956699 to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63 + 269*s**4 + 169*s**4 - 459*s**4 - 1149 - 1886*s**4 wrt s?\nAnswer: -7628*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p - v, 3*v + 17 = -4*p - 2*v. What is the smallest common multiple of ((-1)\/p)\/((-1)\/(-24)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606494 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.4. Let j = -0.9432 - 0.0568. Which is the closest to 2? (a) 1\/4 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-30) + (13420\/6 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -157*g + 469*g - 159*g - 154*g. Let r(k) = -11*k - 7. Let d(x) = -5*x - 4. Let p(b) = -5*d(b) + 2*r(b). Determine j(p(q)).\nAnswer: -3*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1622895.3 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 287*p + 5. Is m(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4 + 421268*n**3 + 3791298*n**2 + 10110032*n + 6740000 = 0. What is n?\nAnswer: -210625, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120\/107 - 7883\/2354. Calculate the common denominator of 3\/80 and v.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9*a + 1 - 10*a)*(19 - 19 - 2*a**3).\nAnswer: 2*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 789986050.69 - -79.\nAnswer: 789986129.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 5 + (17 - (-3 - ((1 - 11) + -4)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 335585397 divided by -6\nAnswer: -111861799\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2214 = -242*g - 106*g - 21*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -2\/11, -1\/2, -3, 30.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 1 + 89. Let q be (-16)\/(-40) - (-32)\/20. Suppose q*k - w = 6. What is the remainder when 23 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16279 + -13204. What is the highest common divisor of q and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4049 or -30.7?\nAnswer: 4049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a. Let b = 25 - 4. Let v be (-3)\/(-9) + b\/(-9). Let c(h) = -4*h**3 - 4*h**2. Let j(l) = v*r(l) - c(l). Solve j(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 534925069 from 30.\nAnswer: -534925039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935213 is divided by 233080?\nAnswer: 2893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u + 41*u + 2 + 35*u.\nAnswer: 45*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 3. Let o be i(4). Suppose 4*u - o*u - 18309 = -3*h, 3*u + 54885 = -5*h. What is u rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.818 and 0.124017.\nAnswer: -0.101445906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (116\/8)\/(-1)*2. Which is greater: -28 or h?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - i + 6 = 0, -33 = -k - 3*i - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 125 = -5*p, -5*y + p + p + 198 = 0. Calculate the greatest common factor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frf when three letters picked without replacement from ffrffffffffffff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 10:22 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8393082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91147833 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*x + 115, -3*f + 3*x + 51 + 132 = 0. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k**2 + 7*k - 9. Let z be c(5). Let u = -33 - z. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1709562 and 109\/60.\nAnswer: 17095620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 12*z**2 - 13*z + 1. Let m be r(-13). Let j be -2 - (1 + -7 + m). Suppose -170 = -4*i + j*q - 26, -13 = -i - 5*q. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 2*j**3 + 3*j**3 + (0*j**2 + 3*j**2 - 4*j**2)*(2*j + 3*j - 4*j) - 7*j**3 - 6*j + 6*j in the form f*j**3 + n*j**2 + a*j + d and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m - 31*m - 21*m as n + y*m and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose 3*g + g = 0. Let d be (g + 1)\/((-4)\/(-12)). Solve f*w = 3*w - d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260161783*b**2 - 800*b - 11739 wrt b?\nAnswer: -520323566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30952 + -25579. Which is smaller: 5369 or y?\nAnswer: 5369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 3*i + 1. Let k be n(-3). Let o = -2 - -4. Suppose k = 3*u - o. Solve -3*z + 6*z + 3*x + 3 = 0, -2*x = z - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**3 - 79*c - 2148 with respect to c.\nAnswer: 18*c**2 - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113.864 - -114. Let r = a + -5.036. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(4 + -4*2*(-1*sqrt(2016) - sqrt(2016))\/((sqrt(96)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: -1935840 - 23040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -1361, -3017, -5263, -8057?\nAnswer: -11357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*85\/((-27115)\/174)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 r, and 1 b when four letters picked without replacement from {o: 10, r: 5, b: 4}?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375504761?\nAnswer: 47, 7989463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 1079. Let a be n(0). Suppose -3889 = -12*h + a. Suppose 2*c = 4*o - h, -60 = 4*o - 3*c - 471. What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 4:57 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 18977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 2258?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*h + 21*h + 18*h.\nAnswer: 84*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91, 133, 185, 253, 343, 461, 613?\n\"Answer: s**3 - s**2 + 38*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1 - -379875867.\nAnswer: 379875871.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8609, -13345, -21239, -32291, -46501?\n\"Answer: -1579*q**2 + q - 7031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52752 and 224?\nAnswer: 105504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (-66 + 146 - 20) - (-115 - (0 - 0)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/5829030 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aikiiaiaiai. What is prob of sequence ai?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.2. Let f = 318 + -314. Let i = -67 - -67. What is the nearest to i in 1\/9, q, f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341344 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 162 + 23*w**2 + 13*w**2 - 164 in the form p + k*w + j*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 1421442*h\/7 - 7106860.\nAnswer: -2*(h - 710686)*(h - 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Solve -20*w**2 + 10*w + 15 - 10*w**3 - w**4 + 9*w**4 - 3*w**i + 0*w**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -10. Is (-1 + -1)\/(n\/(-90)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/((sqrt(24) + sqrt(384) - sqrt(24))\/sqrt(2)) + 4 - sqrt(133)\/((sqrt(21)*1)\/sqrt(3))*-2.\nAnswer: 4 + 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24172959*b**4 + 7333066 wrt b?\nAnswer: 96691836*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 - 235. Suppose -5*k = 0, 2*k = q*h - k - 15. Put h, 3, -17 in decreasing order.\nAnswer: h, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 9:38 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82154697 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -864?\nAnswer: -864.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 11*n**2 + 20*n + 91. Give q(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = 3*q - 5*x, 3*q - 7 = -2*x. Suppose 95 + 76 = q*y. Is 3 a factor of y\/9 - (-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 159*i**2 + 18881*i + 57121\/3.\nAnswer: (i - 239)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1415 divided by -9532\nAnswer: -1415\/9532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -42\/4609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*m + 389*m + 15552 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.973 + -0.027. Let f = d - -36. Let i = f - 11.0000095. Round i to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, 9\/5 in decreasing order.\nAnswer: 5, 9\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 283*j**3 - 5*j**2 + 5*j - 2. Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11704 and 34808?\nAnswer: 2680216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(44) - sqrt(11) - (sqrt(275) + 2))**2.\nAnswer: 40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -4*c + 6*q, -67*q + 131*q - 59 = -23*c + 61*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23971 - 26172. Is w >= -2200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 42*z - 441 = 0. Calculate z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2)*(235 - 24*b - 235) as a + g*b and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 20*f**3 + 0*f + 2*f + (f**2 - 3*f**2 + 0*f**2)*(-4 + 0 - 1)*(3*f + 11*f + 4*f) in the form y*f**2 + b*f + k + j*f**3 and give j.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-131)\/(6 + 50\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 5 + 4*a - 4*a. Let z be s(4). List the prime factors of (-2)\/(-2) + 3\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:20 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10007, 19954, 29901?\n\"Answer: 9947*j + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 120) + 26 - (-34 - 5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - k - 13093 + 13215 = 0, -h + 190 = 5*k. Let p = 2803 + -1651. What is the remainder when p is divided by h?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*b + 3*b + 1967, 0 = -k + 5*b + 639. Let f = 225 + k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13619*o - 108932. Calculate f(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 14 - 2. Suppose -35 = m*g - 9*g. Calculate the greatest common factor of 77 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18357.09 millilitres in litres?\nAnswer: 18.35709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(-30)*(a\/(a*a*a\/(a*(a\/a**(4\/7))\/a)))**(2\/63) assuming a is positive.\nAnswer: a**(-6637\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 14\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 + 6*h - 5. What is the remainder when 127 is divided by o(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -769363576\nAnswer: 769363571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z + 3. Let t be (-2 - (6 + -15)) + -1. Let u(l) = 7*l - 10. Let m(v) = -2*v + 2. Let y(f) = t*m(f) + u(f). Determine -4*w(s) + 7*y(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1022 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 848 = -h + 847. Let i = 139 - 3613\/26. Are h and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:14 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (5 - 4 - -1)) + 0 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555 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: List the prime factors of 4416011.\nAnswer: 4416011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191931 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -230, 0.1, 1\/2, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6)**(-7\/6)\/(z*z*z\/((z*z*z\/z**(-3\/4)*z)\/z)*z*z)**47 assuming z is positive.\nAnswer: z**(-263\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57\/2 - -29. Let h = 1.88 - 0.57. Let j = h - 1.01. Put 0.059, j, y in increasing order.\nAnswer: 0.059, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 - 9*k - 3 - 411*k**3 + 412*k**3 - 5. Let z be t(-8). Is z at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s)*((2 - s**2 - 2)*(0*s + 0*s + 2*s) - 3*s**3 + 13*s**3 + s**3).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t + 2*t)*(-98 + 4*t + 98 - 23*t**2) as d + s*t**2 + v*t + o*t**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*o + 537*o - 1069*o + 80 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f + 1. Let k be -2 - ((2 - 4) + 0). Let r be b(k). Find y, given that y**3 - y**2 + 1 - y + y**4 - r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/70 + o**6\/360 + 7*o**5\/30 - 15*o**2. Let u(w) be the third derivative of n(w). Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 36727*v - 514216. Determine k(14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2188 - 654786.3?\nAnswer: -654775.0812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 - 81 = 0. Let h = u - -39\/2. Let j = 28.9 + -23.9. What is the third biggest value in j, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -7*w**4\/12 + 4*w**2. Let n(m) = -m**2. Calculate j(n(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 58.5, -1.2, -0.3 in descending order.\nAnswer: 58.5, -0.3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l, -16*a = -20*a + 4*l + 8. Let w(j) = 4*j + 3*j - 4*j - a*j. Let d(o) = -91*o**2. Calculate w(d(r)).\nAnswer: -91*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from luulllulllll.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 - -107.59. Let n = u - -69.41. Let s = -67 + n. Which is the third smallest value? (a) s (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 66 = y. Suppose -2*n + y + 6 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - -0.36. Which is the nearest to 1? (a) 4 (b) q (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74409215 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aass when four letters picked without replacement from {o: 7, s: 1, m: 6, a: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 + 4*l + 2. Let n be k(-4). Suppose -f + 18 = -n*f + j, 3*f - j + 50 = 0. Does 16 divide (-1)\/(3\/6)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 22*l - 3*l + 8*l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868.634 rounded to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70503103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (558\/54)\/31*(-4)\/3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26123833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 10*a**2 - 10*a + 12. Let r(u) = -u - 2. Let i be r(-4). Let h be -4*((-34)\/(-8) - i). Is c(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 5, 0, 76?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(6\/(-9)))\/(-2))\/((-576)\/(-32)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + a**2 + a**2)*(-31*a + 38*a - 161*a)*(-a - 5*a + 3*a).\nAnswer: -1386*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50554 + 252772\/5. Factor 4*q + 9\/5*q**4 - 21\/5*q**3 - 8\/5 - s*q**2.\nAnswer: (q - 2)*(q + 1)*(3*q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34783506 divided by -1288278.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 - 5*g + 6. Let l be v(4). Suppose -l*b = -0*b - 20. What is the least common multiple of 224\/10 + (-4)\/b and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.39*-3\nAnswer: 7.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q + 0*q)*(0 - 3 - 2)*(-5*q**2 - 3 + 4 + 4*q**2).\nAnswer: 5*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, 56, -227, -4 in increasing order.\nAnswer: -227, -4, -1, 0, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 5*s = 105. Let z be (30\/s)\/((-3)\/14). Suppose -5*y = -5*d - y + 1111, -4 = -z*y. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*7\/(21\/6). Sort i, -3, 4.\nAnswer: -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by (-19 - -20)\/((-4)\/(-308)).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -534*p**2 + p**3 - 77*p**5 + 77*p**5 + 930*p**6 - p**3 - p - p**4 wrt p.\nAnswer: 111600*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 21*b - 62. Let v be k(13). Suppose -22*l = -23*l + v. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 244 - 21224435?\nAnswer: -21224151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -91720 (base 10) in base 13?\nAnswer: -32995","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d**2 + 3*d - 2. What is q(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and 123\/(-16) + 3 + 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281944 and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1895976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.27 - 0.27. Let y = 24.2 - b. What is the smallest value in y, -1\/13, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. Let m(t) = 5*t + 123. Let z be m(-24). What is the nearest to -1 in -3\/8, c, z?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -42\/25, 0, -0.047 in descending order.\nAnswer: 0, -0.047, -2\/19, -42\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20313033 (base 5) to base 12\nAnswer: -8052b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 240 - 186 = 0. Put -5, c, 2 in decreasing order.\nAnswer: 2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0*v + 0*v**2 + 2\/5*v**5 + 8\/5*v**3 + 0 - 8\/5*v**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 24*j + 17. Let h be p(15). Let a = 1012 - h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/275524?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.733 and 1.7.\nAnswer: -2.9461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8*p + 5*p + 18 = 0, 4*t - 120 = 4*p. Solve t*d = 26*d + 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*n + 5*i - 1943 - 630 + 111, -4*i - 273 + 111 = -2*n for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from zzwzwzzjzzddzz?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 8:12 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 615*x**2 - 1940445*x - 394131825.\nAnswer: 5*(x - 765)*(x + 321)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-6 - (9 + -16 - (-1 - -8))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Suppose -m*p = p - 39. What is the smallest common multiple of p and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4379700 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12371357*b**2 + 7516302 with respect to b.\nAnswer: 24742714*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 3*r**2 + 2*r - 2. Calculate the remainder when l(-5) is divided by (-1*2)\/((-4)\/26).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-6)*(-48)\/64.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/24 - 144\/351)*-2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011486 to four decimal places.\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576634.\nAnswer: 2, 3, 47, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-42)*((-169)\/13)\/78?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5488*450\nAnswer: 2469600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470335 is divided by 5806.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 831.0676ug?\nAnswer: 0.8310676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4)*r)\/r)\/r**(-5)*(r*(r*r*r**(1\/4)*r)\/r)\/r*r**(2\/13) assuming r is positive.\nAnswer: r**(229\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244911 = 9*q + 13*q - 243701 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 101*d**2 - 24*d + 752. Does 24 divide l(100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 577*q + 10971 = 0, -2*t + 4*t + 3*q + 42 = 103 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635 divided by -2?\nAnswer: -2635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12484 + 89?\nAnswer: 12573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -11*z**8\/7 + 19*z**5\/20 - 306*z**4 + 3028*z. Find the third derivative of i(k) wrt k.\nAnswer: -10560*k**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 6*d - 15. Let i be u(10). Let c = -201 + i. Suppose -2*a - c = -6*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2)\/(3\/(-6)). Let h be -23*r\/8*-4. Suppose 0 = 3*v + 4*i - h, 3*v - 4*i - i - 5 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 23, 35, 47, 59, 71?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 7*v**2 - 35*v**3 + 4*v**2 + 76*v**3 - 42*v**3.\nAnswer: -v**3 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -41. Suppose -s - k = 4*i, -2*i - 2 = -0*i - 2*s. Let x = -20 - -21. Does i = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 367 - -1026. What are the prime factors of z?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**6\/255 - j**5\/85 + 2*j**3\/51 - j**2\/17 - 18*j. Solve n(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 271 = 3*p, -3*p - 52 = -z - 318. Let x = -116 + p. Is x greater than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*s + 3009 - 3009)*(8 + 3*s - 8)*(0 - 4 + 1) to the form w*s**2 + g*s + a and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p + 2*d = -2, -4*d - 12 = 2*p. Suppose -3 = p*j - 55. Let y = j + -5. Calculate the highest common factor of y and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 7*b - 7. Let x be d(5). Suppose 4*j - 13 = -4*u + 11, 0 = -4*u - 3*j + 23. Put u, 0, x in decreasing order.\nAnswer: u, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 1:21 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/298 or 1?\nAnswer: -1\/298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) 3 (c) -8 (d) 0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 16 + -4 + 16 + -5 - -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3127 + 28162\/9. Let m = 1834018\/1085985 + 2\/24133. Calculate the common denominator of m and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 4, s: 2, z: 1, b: 1, f: 1}. Give prob of sequence sjj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 0*m + 0*m. Let y(h) = 74*h - 17. Let s(p) = -25*p + 6. Let w(v) = -17*s(v) - 6*y(v). Determine w(t(c)).\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 65717 - 131438 + 65716. Suppose -23 = -2*n - 5. Calculate z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.34 - 0.06. Let q = u - 3.6. Let n = -2 + 9\/4. Sort n, q, 1.\nAnswer: q, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2053 = 11*w - 862. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -1324, -4432, -10490, -20482, -35392?\nAnswer: -56204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340885, -681777, -1022669, -1363561?\nAnswer: -1704453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 335 + 254 = 5*j. Solve -j*b - 8 = -81*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*k**3 + 8 - 12 + 4 + 350*k**3 + 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 3 = 0. Let v(j) = -j**2 - j. Let h be v(a). Let z(s) = s**3 - s**2 + s + 2. What is z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-8)*-2)\/((-2)\/(-48312))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 421, 1598, 3553, 6280, 9773, 14026, 19033, 24788?\n\"Answer: -r**3 + 395*r**2 - r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3472091, -3472094, -3472097, -3472100, -3472103, -3472106?\n\"Answer: -3*x - 3472088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.025 + -2.125. What is the nearest to j in -0.1, 3.7, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 4*t - 6*t + 5, -2*t = -2*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-24))\/(15\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8519182, 8519181, 8519180?\n\"Answer: -l + 8519183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206333767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -146. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:34 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003.79 + 5?\nAnswer: 5008.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3004, -901, -4 in ascending order.\nAnswer: -901, -5, -4, 3004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -95. Solve 3*b = -x + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*q = -212*q - 56. Suppose q*b + 2*u = 3*b + 1390, 5*u = 5*b - 1425. Does 40 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30835168.\nAnswer: 2, 7, 13, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31581521 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 5. Let r = q + -8. Calculate the common denominator of r\/9 - (-831)\/90 and -65\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22558194.\nAnswer: 2, 3, 877, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 280182780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.768419 days?\nAnswer: 671191401.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 359\/3 = -0.2907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 903\/1828?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1697157*s**2*x - 6*s**2 - 479*x + 316 wrt s.\nAnswer: 3394314*s*x - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12321303 (base 4) in base 3?\nAnswer: -1102210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 + 319. Let x = -9.95 - o. What is x rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21 - 10 - 2 - 8. Let y(j) = 5*j**2 - 3*j + 2. Let g(m) = -5*m**2 + 2*m - 2. Let h(k) = 3*g(k) + 2*y(k). Determine 2*f(o) + h(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332\/83*9\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 34522256.\nAnswer: -34522257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/73 (b) 1 (c) -2\/25 (d) -0.3 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 232 + 5?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 11101?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/(-273))\/(10\/(-13)). Let g = -255 - -158. Is g >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a day in minutes?\nAnswer: 14976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 12 = 24. Let y(t) = t**3 - t + 2. What is y(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -188, -173, -148, -107, -44, 47?\n\"Answer: n**3 - n**2 + 11*n - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(245) + sqrt(245) + -1)*6*1)**2.\nAnswer: -3024*sqrt(5) + 35604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/2357 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(6\/(-1))\/(-3). Let f be (-15)\/10*i\/(-3). Solve -2*q = -4*q - f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.1319 micrograms in nanograms?\nAnswer: 301131.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19732 - 59261\/3. Let i = -82665 - -3472087\/42. What is the common denominator of q and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 8, z: 1, x: 1, e: 6, c: 2}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002252426823 to seven decimal places.\nAnswer: -0.0022524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -97. Suppose 2*l - r = -0*l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31300 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -7*o**3\/6 - o**2 + 2*o. Let v(f) = -919*f + 3 - 3 + 917*f. What is i(v(c))?\nAnswer: 14*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 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 next term in -1059, -1026, -993, -960, -927?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 2*r - 3*r + 31*r - 20*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 22. Let k(w) = -w**3 - w**2 - 2*w + 2. Let m be k(0). Let l = 2 - -1. Suppose 0 = -m*q - l*q + q. Calculate f(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 9, -5*g - 2*p + 3*p = -13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4449627720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12246841 rounded to four dps?\nAnswer: -0.1225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 120 - 2*r**2 - 281*r + 281*r as z + o*r**2 + d*r and give z.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 51. Let j = x + -18. Solve 4*o + j - 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467203171 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 4. Suppose 6*b - 3*m + 3 = 3*b, 5*b - 25 = -5*m. What is the smallest common multiple of d and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4723203?\nAnswer: 3, 1574401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1352 - 1352. Solve p = -18*c + 49*c - 31 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179c (base 13) to base 5\nAnswer: 103014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2145343.\nAnswer: 12872058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = p + 5*h + 8, -5 = -3*p - 4*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {t: 2, f: 1, g: 2, l: 6, c: 2, u: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - b - 5, 5*u - 17 = u + 3*b. Suppose -2*f + 4*f + u = 0. What is the tens digit of f - (1*-39)\/((-1)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*32\/20*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-6)\/8)*(-18)\/(-4). Which is bigger: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*m - 67954, -3*m = -j - 54581 - 47360. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*11\/(-22))\/(-3*(-6)\/(-117))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from zzzhsszhzzsshshzgszu.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*z**5 + 50898*z**4 - 3*z**3 - 41698666*z**2 wrt z?\nAnswer: 1380*z**2 + 1221552*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.15 and 1004.\nAnswer: 1003.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 8 = 4*k + 4*g, 0 = 2*k - 2*g - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 44*b - 268. Let o be i(5). Solve -2*a - 21 = -5*z, -o = -5*a - z - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-7)*x)*x*x**(1\/3))\/(x**(-2\/15)*x*x\/x**(-12)*x) assuming x is positive.\nAnswer: x**(-113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.46823 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -133*o - 1713. Determine z(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-22)\/(528\/1704).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.11 - 0.11. Let p = 6.8 - m. Let h = -0.1 - p. Which is the second smallest value? (a) 0 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 + 3*g + 2. Let n be r(-5). Suppose 0 = -9*k + 4*k + 70. What is the highest common factor of n and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2971*r**3*t + 4*r**2*t + 12185*t wrt r.\nAnswer: 8913*r**2*t + 8*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 23 + 23 - 3*y**2 + 4*y**2 + 0*y**2 + (6*y - y - 3*y)*(6 + 2*y - 6) + (-2*y**2 + 0*y**2 + y**2)*(-2 - 5 + 5).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 138\/4*(-1)\/(-9)*3. Which is the third smallest value? (a) 3\/5 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -46 + 92 + -132?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 328*v**2 + 52*v + 356. What is the tens digit of z(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -209.\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 4*d + 5. Let v be x(-5). Which is the closest to 1? (a) v (b) -2\/3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 112863?\nAnswer: -5\/112863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(3\/38))**(-43) assuming a is positive.\nAnswer: a**(-129\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = -3*f, -t + 3 + 2 = 2*f. Suppose f*s = -5*b + 10, -s - b + 2 = -2*s. Suppose 9*j - 5*j - 120 = s. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z + 5. Let s be (-1)\/7 - (-15)\/7. Find the third derivative of -9*j**3 + 9*j**3 - s*j**2 - j**z wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4eec - 6c9?\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-56) + ((-2)\/42)\/((-3)\/(-27)). Let j(k) be the second derivative of 19*k - 2\/21*k**3 + 1\/21*k**4 - 2\/7*k**2 + 1\/35*k**5 + q. Factor j(f).\nAnswer: 4*(f - 1)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1206 and -103\/20100.\nAnswer: 60300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.481 - -1.48098751. Round f to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.450027 + 0.4.\nAnswer: -0.050027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -4, -3\/2, -247\/5 in descending order.\nAnswer: -3\/2, -5\/3, -4, -247\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-39290)\/(-27503) - ((-2)\/(-7) - 4\/(-3))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((3*3*sqrt(52)*1)\/(-2*(sqrt(4) + 1*sqrt(576))) + 5)**2.\nAnswer: -45*sqrt(13)\/13 + 1329\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1892)\/7040 + 6\/(-192).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1237, 2479, 3721, 4963, 6205?\nAnswer: 7447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/24)\/(6\/20). Sort z, 0.2, -1\/5 in decreasing order.\nAnswer: 0.2, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44758 divided by -3582.\nAnswer: 22379\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5364152 is divided by 119?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29702556?\nAnswer: 2, 3, 13, 63467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14253 - 0?\nAnswer: 14253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 8:27 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(1\/12)*(f*f**(-1))\/f**0)**(-25) assuming f is positive.\nAnswer: f**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 134396\/12 + 2\/(-3). Let p = t - 111891\/10. Calculate the common denominator of p and -7\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374640 - 0.24974\nAnswer: -374640.24974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -186, -1663, -5666, -13455, -26290, -45431?\n\"Answer: -210*n**3 - 3*n**2 + 2*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1172628692 to the nearest integer?\nAnswer: 34244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49a988 + -7?\nAnswer: 49a981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 451481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 8:35 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*n + 26 = 90, -5*r + 2*n = -188. What is the least common multiple of r and 426?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22054137*g**2 - 18876606*g wrt g.\nAnswer: 44108274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504868 and 2628.\nAnswer: 4543812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26209 is divided by 298?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(1088) + 4 - sqrt(1088) - (sqrt(1088) + -4 + sqrt(1088)*1) - (-1 + 6*-2*sqrt(1088))))**2.\nAnswer: 57600*sqrt(17) + 3920400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 1\/3*v**3 + 5*v - 85 - v**2. Calculate q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(225)\/sqrt(5))\/sqrt(9)*4.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6*t**2 + 4*t**2 + 12.\nAnswer: 10*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 92255459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 5*o**3 + 3*o**3)*(254*o - 579*o + 285*o) - 2*o**4 + 0*o**4 + 0*o**4 + (-3*o**2 + 0*o**2 + 2*o**2)*(-7 + 7 - o**2) - 4*o**4 + 0*o**4 + 6*o**4.\nAnswer: 41*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40656 and 1383998.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -81, -133, -193?\n\"Answer: -4*i**2 - 32*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 + 205*u - 210 = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266*c**4 - 105*c**2 + 2 wrt c?\nAnswer: 6384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-52 + 33 - (1 + -21)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3264 - 4551 = 295*k + 445 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 201 - 111. Calculate the remainder when w is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -121, -2975, 0.1 in descending order.\nAnswer: 0.1, -0.5, -121, -2975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -52. Let f = -7 + -1. Let l = f - -11. Which is the third smallest value? (a) l (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -9*o. Solve o = -3*p - j + 11, 4*p - 2*j - 9 - 9 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 65 - 4*h - 30 - 29. Let z(y) = 4*y**2. Determine v(z(j)).\nAnswer: -16*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:24 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 676*u - 2. Let p(s) = 628 + 624 - 1252 - 14*s**2 + 4*s**2. Give p(k(x)).\nAnswer: -4569760*x**2 + 27040*x - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 674940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 71613*s - 35810*s - 35811*s. Let u(c) = 17*c**2 - 1. What is z(u(h))?\nAnswer: -136*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 80*o**3\/3 - 5*o**2\/2 - 4*o + 650. Suppose 0 = -3*w - 0 + 9. Is u(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 + 31*t - 11. Let n be z(6). Let s(f) = f**3 + 8*f**2 + 5*f - 5. What is s(n)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -52. Let i be (2 - (-464)\/b)*5. Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.05, 8, -5, -2, 0.33?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 19 = 3*a, -7*a = -10*a + 3*x - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65643560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**3 - 1. Let x(z) = -5*z + 3*z + 8*z - 8*z. Give u(x(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-594)\/(-144) - 2\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 2 - 3 - 57*g + 51*g. Suppose -12 = 3*f - 0*f. What is the units digit of d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/42 - 2*c**3\/7 + 16*c**2\/7 - 3*c - 10. Factor a(w).\nAnswer: -2*(w - 2)*(w + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:11 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 611626 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-368) + (-272)\/46?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13631, -13624, -13605, -13568, -13507, -13416?\nAnswer: -13289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25962140?\nAnswer: 2, 5, 257, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5*r - 3*r)*(5 - 4 + 1) - 1 - 5*r - 2 - 14*r + 4*r + r - 3*r + r + 0 + 0 + 0*r + r - 2*r + (2 - 3 + 0)*(0 - 2*r + 0).\nAnswer: -17*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 5*b**2 - b + 5. Let t be n(-6). Let c be ((-1)\/12*-3)\/(27\/(-72)). Does t = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 + 14 - 15) + (227 - -4) is divided by 71.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21212 (base 4) to base 5.\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2244*l**3 - 4263*l**3 - 4098*l**3.\nAnswer: -10605*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 26*b**2 + 20*b - 39. Let y = 109 - 107. Let f be (4 - (5 - 5))\/(y\/13). Is g(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(2299) + sqrt(2299) - sqrt(2299)) + -2 + sqrt(2299) + 3 + -1.\nAnswer: -6 + 77*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {q: 1, j: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, a: 7, m: 4}. Give prob of picking 3 x.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**2 + 4*a + 1. Let b be 2\/14 - 3249\/399 - -10. Let y(x) = -85*x**2 - 21*x - 5. Give b*y(g) + 11*r(g).\nAnswer: 17*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**3*c**2*o**2 + 270*b**3*c*o - b**2*c*o**2 + b**2*o - 255*b*c**2*o - 3*b*c**2 wrt b.\nAnswer: 24*c**2*o**2 + 1620*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 8.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73880.85ml in litres?\nAnswer: 73.88085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104)*4)\/(sqrt(360)\/sqrt(5)))**2 + ((-1 + sqrt(468))*5 + 1)**2.\nAnswer: -240*sqrt(13) + 106276\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7085.854 grams to kilograms.\nAnswer: 7.085854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 9*d**3 + 0*d**3 - 2*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8814 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-64))\/(1944\/(-192) - -10). Suppose 2 = -v - 2*a, -2*a - 8 = -5*v - 3*a. Factor -35\/2*h - k*h**v - 15.\nAnswer: -5*(h + 1)*(h + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1409, 46 in increasing order.\nAnswer: -0.4, 46, 1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142763, 142774, 142791, 142814?\nAnswer: 142843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 15*i**2 - 14*i + 18. Let a be h(14). Let p be (2 - -2) + (a - -2). Solve -3*n = 3, 2*n + 2*n + p = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - g. Let p(f) = 2 - 3*f**2 - 3 + 3 + 4*f**3 - 4*f. Let s(r) = -p(r) + 3*x(r). Give s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 8*n - 8. Let p be b(-7). Let t be 4 - p - (-5 + 8). Suppose 18 = 8*s - t*s. Solve -r + s = -1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 21 = 3. Let s = -4 - x. Find r such that -r**s - 2*r**3 + 4*r**4 - 5*r**4 + 0*r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -309 + 543. Let p = x + -204.6. Round p to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(-1 + sqrt(6300)) + sqrt(6300) + (sqrt(6300) + sqrt(6300) + 1)**2 + -5 - ((3 + (sqrt(6300) - (1 + sqrt(6300))))**2 + -4))*2.\nAnswer: -60*sqrt(7) + 50403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(2 + -4) - -7. Let o be (h\/5)\/(2\/10). What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*j*t**4 - 1945429*j*t**3 - 112*j*t**2 - 474527*j - t**3 wrt t.\nAnswer: 1440*j*t - 11672574*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 228 = 3*c. Suppose -7*l + 164 = 458. Let r = l - c. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 172043?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345511 by -1.\nAnswer: 345511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -665 - -814. Solve -j*t = -154*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:03 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhuuiiuluiiiip. Give prob of picking 1 h and 1 p.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6293 and 63.\nAnswer: 56637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2611.\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1456, 1691, 2090, 2659, 3404, 4331, 5446, 6755?\n\"Answer: y**3 + 76*y**2 + 1379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, k: 3}. Give prob of sequence wk.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161699 is divided by 53899.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -468\/551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -91 - 149. Let d be 271*2*6\/f. Let z = -54 + d. Is z bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/30 - (-3136)\/10. Let t be 5\/30 + (-7714)\/(-12). Suppose -4*h + t = 3*y, 2*h + 0*h + 4*y - z = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 49\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.4 (c) 1349 (d) 0 (e) -2\/7 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2911, 5798, 8685, 11572?\n\"Answer: 2887*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25283356.\nAnswer: 2, 7, 902977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9559 minus -0.1?\nAnswer: -9558.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33102, 66525, 99938, 133335, 166710, 200057, 233370?\n\"Answer: -c**3 + c**2 + 33427*c - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + (-300)\/20)*39\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - ba50?\nAnswer: -ba65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513892686?\nAnswer: 2, 756946343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 35, -1, -7, 0, -5 in ascending order.\nAnswer: -7, -5, -1, 0, 35, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 89 = -8. What is the third derivative of -7 - i*z**5 - 27*z**2 - 22*z**2 + 42*z**2 wrt z?\nAnswer: -5820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 12:12 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1230\/2687?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 5*v**2 + 2*v - 5. Let z be y(-4). Suppose 5 = z*a - 1. What is the third derivative of -x**2 + x**2 - x**5 + 4*x**2 - 2*x**a wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -86 + 227. Let k(i) = -2*i**3 + 5*i**2 - 2*i - 5. Let x be k(5). Let m = r - x. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -409, 3, -3\/220, -53 in increasing order.\nAnswer: -409, -53, -3\/220, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 39*r + 240. Calculate z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/7 - (-7)\/(-49). What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 48?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352 + -256. Let h = -96.5 + w. What is the biggest value in 0, h, 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 11.87. Let y = z + 0.129819. Round y to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384906060 divided by 1832886.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -108957, -108961, -108979, -109017, -109081?\n\"Answer: -c**3 - c**2 + 6*c - 108961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63170\/(-26775) + 0 + 2\/1. Let w = u + 2\/315. Suppose 2*q = 5*h - 2*q + 21, -3*h = 5*q - 17. Is w greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 + 42*h**4 + 135*h**3 + 4*h**2 - 180*h = 0. What is h?\nAnswer: -2, 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 1*(67\/6 - (-19)\/(-114))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = v + 7 + 5, 9 = -4*v - 3*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose 0*r + r = -66. What is the tens digit of w\/(-5 + -1)*r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31845 + 36*f - 134*f + 31835 to the form v + x*f and give x.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (9 - 4)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 21*m + 43. Calculate l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m = -4. Find the second derivative of -2*s**2 - 9*s + 4*s**m + 11*s wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 6*x. Let l be p(5). Suppose 4*c - 3*r - 4 = -4*r, -2*r = 5*c - l. Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 4:09 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 6*g + 8. Let z be c(6). Suppose -z = -4*u + 12. Let h(r) be the third derivative of r**4\/8 - 5*r**3\/6 + r**2. Calculate h(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + n + 5*n)*(-1 - n**2 + 1 + 0*n**2 - 3*n**2 + 5*n**2 + (1 + 2*n - 1)*(-n - n + 3*n) - 2*n**2 - 48 + 48) as b*n**3 + l + i*n + w*n**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gteobfbf. What is prob of sequence bo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 294.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4))\/u**1)**26 assuming u is positive.\nAnswer: u**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32315150 (base 7) to base 12\nAnswer: -b11658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1996 = -4*j - 460, 2*i - 1552 = -4*j. Let u = j + -382. Solve -n + u*c = -0*c - 11, -5*n + 21 = -3*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + -0.16. Which is the second smallest value? (a) q (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90513?\nAnswer: 3, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -18671 - 19*l**2 + 37344 - 18673. Let m(a) = 166*a. Determine m(w(s)).\nAnswer: -3154*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89210*q + 164320?\nAnswer: -89210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75165.\nAnswer: 3, 5, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 13*i\/4 + 5\/2.\nAnswer: (i + 2)*(4*i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565 - -92.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 5. Suppose 9 = -j + 3*b, 0*b + 3*b = 4*j + 27. Let c be z(j). Let m be (c\/1)\/((-5)\/(-45)). Solve -4*g = 5*s - m - 11, g + 2*s = 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 22, -0.3, 2926, 3, 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 less than -1?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 30 - 2*y**2 - 86 + 32 in the form v*y + l + w*y**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*k + 18 = -274*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddedddddddddedd. Give prob of sequence eed.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 + 31 = 3*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6540 and 652305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from qfjjufqjrofqff.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/5 + 3*f**3\/5 - 4*f\/5.\nAnswer: f*(f - 1)*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 u when four letters picked without replacement from {u: 4, o: 1, y: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28029 is divided by 365?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-5)\/(10\/(-4)). Let x(g) = 2*g**3 - g - g**3 - 3*g**2 + s + 10*g**2. Suppose -93 = 98*v + 493 + 100. Calculate x(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.192 - 1. Let t = u + 0.273. What is t rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/(-2)*((-232)\/(-16) + 1). Let q = -554 - l. Solve 5*t + q = 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 + -5. Let c = 7.4 - g. Let b = 8.05 - c. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 14) in base 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + sqrt(468)) - sqrt(468) - 1*(sqrt(468) + -3*sqrt(468) - sqrt(468)))*6)**2.\nAnswer: -3456*sqrt(13) + 67968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -33 + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 5. Let z be a(10). Let g = z - -123. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63 and -0.47.\nAnswer: -29.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 171 + 32 = 4*f, 0 = -5*f - 20. Let u be (1 + 0\/(-2))*-20. What is the remainder when z is divided by (2 - u\/(-3))*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71350, -71355, -71360, -71365, -71370, -71375?\n\"Answer: -5*c - 71345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*c**3 + 6496*c**3 - 1157*c**3 - 534*c**3 + 6547*c**3.\nAnswer: 11997*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b + 2. Let n be w(-4). Suppose i - 4 = -n. Find the second derivative of 3*p - i*p + 2*p**3 - p**3 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/sqrt(2)*6)\/(sqrt(49)\/(sqrt(7)*1) + sqrt(7)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.218 (b) -9 (c) 4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y - 25*y - 211*y**3.\nAnswer: -211*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 not equal to -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 5*s)*(-139 - 556 - 1016 + 60 + 134).\nAnswer: -3034*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-2)*(-12)\/(-9). Suppose -3*o + 2 + g = 0. Suppose -14 = -r - 0*r - o*m, 3*r - 3*m - 87 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 26513.183719?\nAnswer: 26512.183719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22562005 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:37 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 505, 1020, 1535, 2050?\n\"Answer: 515*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/11)\/l*l)\/l)\/l**(-2))**(-19)*((l\/(l*l\/l**(-3)*l)*l)**(-1\/4))**(-5\/7) assuming l is positive.\nAnswer: l**(-1784\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - -474?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*c = -12657475 + 12659395 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y - 84. Let n be f(-5). Let q = -110 + 76. Let g = n - q. What is the remainder when 24 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 + 486*m + 12183 = 0. Calculate m.\nAnswer: -131, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47701?\nAnswer: 47701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/294 - (-10066)\/246617.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6174, 0.45, 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78930794.\nAnswer: 2, 163, 242119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42486 is divided by 223?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h + 49*h - 15*h = -996 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 83 + 78 + 23*h - 203.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 2*f**2 - 2*f - 2. What is the tens digit of d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:25 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 306\/(-1377) + (344\/90 - 2). Solve -2\/5*o**2 - t + 2*o = 0 for o.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/36 + 97750588\/18. Suppose v = -1350259 + y. Let f = -2870329 + v. What is f rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/4289 and 63\/131826704.\nAnswer: 131826704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41226 - -896801.9958.\nAnswer: 855575.9958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 7.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (2214\/(-90) - -19)\/(1\/(-2400))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*d - 1380 = 314*d. Does 46 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1296013482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 26*v = 10. Let m be 0 + 0 + 0 + 5. Suppose 5*z + 3*n - 2 = 0, -5*z - 2*n + 14 = 11. Solve z = v*f + 3*l, m*f + l - 7 = -0*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 14169483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 648 + -377. Let i = t - 142. Is i a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3357 - 0.0643. What is the second smallest value in -1\/4, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -306*s + 72. Determine a(1).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (8 - 2) + (8 - 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 11*z**2 - 6*z + 60. What is d(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 7*f - 14. Solve -f*w = -7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 281123 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014271723 to 6 decimal places.\nAnswer: 0.001427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3109609625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v + 1073 - 633 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 31153496?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 + -69. Solve -x = -8*f + 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-20) + (-359733)\/(-309815) + (8 - (-2736)\/(-344)).\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 18 (b) -5 (c) 4 (d) -1.779 (e) 0.2 (f) 0.4 (g) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 89.52475km in centimeters?\nAnswer: 8952475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32758, 33446, 34146, 34858, 35582?\nAnswer: 36318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2. Let l(c) = 7*c**2. Give x(l(g)).\nAnswer: -98*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a - 54. What is g(-18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -4*p - t - 234 + 173, 17*t - 76 = -p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 + 1.7. Let i = u + -4.000126. What is i rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/20 and 79\/118.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19044 is divided by 142.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 64 - 44. Factor 0*s**3 + 4\/7*s**2 + 2\/7*s**5 - 2\/7*s - 4\/7*s**x + 0.\nAnswer: 2*s*(s - 1)**3*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.3 (c) -561 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13634?\nAnswer: 2, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512, 520, 542, 584, 652, 752?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19492468?\nAnswer: 2, 127, 38371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -1.0096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 90 = 10*t, -3*t + y - 8*y + 462 = 2*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((-1*sqrt(833)*-1)**2 + sqrt(833)*2 + 3 - ((-5 + sqrt(833) + -1)*-4)**2))*-6.\nAnswer: -8148*sqrt(17) + 78384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -54729, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -27, -46, -77, -126, -199, -302?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228584 divided by -40?\nAnswer: 278573\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -14. Let l = 611 + -607. What is the smallest common multiple of r and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 71 = -3*q - 22, 3*q - 147 = -5*c. What is the greatest common divisor of 490 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 459468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*w - 483 + 483)*(-5 - 4*w + 5) - 5*w**2 + 5*w**2 + 3*w**2.\nAnswer: 191*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4\/15 (b) 1 (c) -38\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 5. Suppose -5 = 3*n + 4*f + 11, -n = f + 4. Let j be x(n). What is the third derivative of d**5 + 0*d**5 + 0*d**j - 2*d**2 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 + 4*c + 1079. Let n(x) = 4*x**2 - 3*x - 1080. Give 4*n(v) + 3*p(v).\nAnswer: -2*v**2 - 1083","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708 + (1 - -2)\/1*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 19. Let j(z) = -7*z - 38. What is 2*j(s) - 5*k(s)?\nAnswer: s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -4, -3\/5, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544*m = 536*m - 16. Let v be m\/3*(-3)\/66. Which is the third biggest value? (a) 1 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1. Let a(p) = p - 5. Let k be 60\/(-18)*3\/(-5). Let r(b) = -2*b + 11. Let s(x) = k*r(x) + 5*a(x). Calculate 10*f(o) - 2*s(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4056 divided by -26.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:59 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 165\/(-22)*4\/39 - 129\/559. Let f be (((-6)\/(-4))\/(-3))\/(-73). Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 12) in base 4?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) 1\/5 (c) -3\/7 (d) 24408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*n = -16, -2*r - 4*n + 2 + 2 = 0. Let w = 9 - r. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -148 and 23.\nAnswer: -3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(0 - (-12)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7947005 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (2 + 3 - (42 - 47) - -29)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4\/7 - 83077*d**3\/7 - 116300*d**2\/7 - 33228*d\/7 = 0. What is d?\nAnswer: -16614, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35928 and 6504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*o, 3*o - 17 + 11 = 3*u. Let k(j) be the first derivative of 4*j**3 - j + 2. What is k(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -1.921.\nAnswer: -4.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -386*u - 22. Give y(2).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r*x**4 - 787*r*x - 11*r + 20016*x**5 wrt x?\nAnswer: 36*r*x**2 + 400320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p*p**6)\/p))**(4\/13) assuming p is positive.\nAnswer: p**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83, -313, -691, -1223, -1915, -2773?\n\"Answer: -g**3 - 68*g**2 - 19*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*b - 4*r + 7, 9*b - 2*r - 38 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/48 and -40\/17193.\nAnswer: 275088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/80 + 7*a**5\/40 - a**4\/16 - 7*a**3\/4 - 3*a**2 - 26*a. Factor l(n).\nAnswer: 3*(n - 1)*(n + 1)*(n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p + 230 = -27*p. Suppose -11 = -y + 4. Suppose -z + 25 = -0*z + 3*j, 3*j + y = 0. What is the highest common divisor of p and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 3)*(-2 - 4 + 7) + (1 - 12 - 4)*(3 + 27 - 17))*(-4 + 2*j + 4) to g*j + t and give g.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d + 25 = 0. Let t = d - -22. What is the remainder when 50 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 337.999641 - 338. What is q rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85417?\nAnswer: 229, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.9253719 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m. Let s(t) be the first derivative of -2*t**3\/3 + t**2\/2 + 4*t + 44. Determine q(y) + s(y).\nAnswer: -y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6080, 10577, 15118, 19709, 24356?\nAnswer: 29065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12 and -121\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -7, -1.4, -0.2.\nAnswer: -7, -1.4, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3128 = -479*b - 14815 - 25709 + 10122 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 1659*o - 1770 - 2*o**3 - 126*o + 2*o**2 + 1767 - 2*o**3 in the form s + z*o + u*o**3 + m*o**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((sqrt(44) + sqrt(132)\/(-1*sqrt(3)))*2)\/(5*(sqrt(400) + (sqrt(400)*-1 - sqrt(400)) + sqrt(400) + sqrt(400))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 178 = -22. Let b = 50 - s. Factor b + 12\/7*v + 3\/7*v**3 + 12\/7*v**2.\nAnswer: 3*v*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - 723\/(-2796). Let h = 456\/1165 + b. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-27))\/(3\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/66 + (-1)\/(-3). Suppose c + r = -0 - l, -3 = r. Solve -4*i + c = -y - 0, 3*i = -4*y + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13149640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2931\nAnswer: -5862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.7 and -0.0837?\nAnswer: 2.48589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10133 (base 4) in base 12?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 2355. Suppose 7*t - b = 2*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*t + 3*y, 0 = -4*t + 794*y - 798*y + 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.73 - -35. Let y = l - -0.03. Which is the nearest to 0.3? (a) y (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 4 = 4*o. Solve -r = -o*r - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*(340*p + 336*p - 649*p).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*1*5\/(6\/((-144)\/60)*1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 623 and 3954003.\nAnswer: 27678021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Let p be 46\/3 - (-3)\/(-9). Solve w*u - p = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*v + 3, 37*j - 38*j = 4*v + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 69583.46 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000432699 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 - 3*u**4 - 2*u**4 + (-3*u + 0*u + 2*u)*(5*u**3 - 2*u**3 - 2*u**3) + 269*u - 269*u + 14*u**4.\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmffk. Give prob of picking 2 f, 1 m, and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (81\/54)\/((-18)\/(-3)). Which is the closest to 2\/15? (a) w (b) -2 (c) 0.5 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 2\/15*o**5 - 5*o**2 + 0 + 1\/8*o**4 - 1\/6*o**3 + 0*o. Is 11 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3519 and 184943.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 3. Let z = t + 8. Solve -1\/4*b**4 - 1\/4*b + 0 + 1\/4*b**2 + 1\/4*b**z = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*p + 39, -12*n + p = -9*n + 47. Let k(j) = j**3 + 13*j**2 - 29*j + 16. Let l be k(n). Let a be l*(4 + 24\/(-6)). Solve a*c - c = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - (-33)\/(-7))\/2)\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.69 - -2.69. What is the third smallest value in 3\/4, 0.4, d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 6, -3*v = 4*w - 22. Let i(y) = 3*y - 2. Let c(d) = -16*d + 11. Give w*c(g) + 22*i(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*t + 5, -3*t - 19 = -34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (9 + -27)) + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 5b?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-45)\/(-20)*(-1)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4798877871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2. Let b be a(4). Let i(n) be the first derivative of -2*n**2 + 85*n + 95. Is i(b) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-3 + 4 + 1)*(-k + 2*k + 0*k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (344 - 416) + 12330\/171.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m. Solve -3*o + g - 3 = m, 0 = g - 0*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 146*l + 42 - 408*l - 148 + 131*l + 131*l.\nAnswer: -2*l**2 - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 867055949?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.8, 0.9, 1, -3, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3346 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 + (-1)\/(2\/8). Let l(m) = m - 4. Let a(p) = 4*p - 18. Let s(w) = q*l(w) - 4*a(w). Let t(x) = 8*x**2 - x. Calculate s(t(z)).\nAnswer: 16*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/24 - 2*c**3\/3 - 2*c**2. Let z be j(0). Let f be (-1 - -11)*z\/(-10). Solve f*t = -5*l - 2, -3*l + 18 = -2*t + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 7*h - 5. Let b(p) be the first derivative of 2*p**3\/3 - 4*p**2 - 6*p - 74. What is 5*b(g) - 6*q(g)?\nAnswer: 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (1 - (1 - -1)) + (20504\/(-8))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/192 and 101\/9914112?\nAnswer: 9914112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*f - 20 = -167*f. Is (-16)\/4 + -63*(f - 48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6887 + -6911.9748. Let w = -25 - m. Round w to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12218976 divided by 8778?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 39*z + 92. Solve 25 = -m - z*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.341992*-0.07\nAnswer: 0.09393944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -11, -3, -2, -8 in increasing order.\nAnswer: -11, -8, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = -4. Let t = -19524 + 19523.6. Which is the closest to 0? (a) q (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.9 take away -11.9?\nAnswer: 116.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -9536\nAnswer: 29\/9536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 46*y**2 + 90*y + 85. Determine z(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.94 - 1.16. Let x = 6 + f. What is the closest to x in -5, 3\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17506, 37389, 57272, 77155, 97038?\n\"Answer: 19883*u - 2377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496882.\nAnswer: 2, 3, 416147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*u + 0)*(-4*u + u + u) + (-2*u - 6*u + u)*(3*u + 1 - 1) - 1 + 1 - u**2 - 4*u**2 + 2*u**2 - 3*u**2 in the form n*u**2 + p*u + r and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -57*y**2 + 2237*y - 2236. Determine c(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 3*r**4\/4 - 5*r**3\/3 + 3*r**2\/2 + r - 1. Let x be ((-68)\/51)\/((-8)\/18). List the prime factors of v(x).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 3*b = -27*c + 24, 0 = -4*c - b + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -256, -437, -634, -853, -1100?\n\"Answer: -b**3 - 2*b**2 - 168*b - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {y: 1, b: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4))**(11\/5) assuming t is positive.\nAnswer: t**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 138 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -27 + (-22 - -28).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5561 divided by 1\nAnswer: 5561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let v(m) = -m**2 + 11*m - 8877. Determine v(w(s)).\nAnswer: -s**4 - 11*s**2 - 8877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 5*f**6\/8 + f**5\/30 - 911*f**3\/2 + 1677*f**2 - 1. Differentiate z(l) wrt l.\nAnswer: 225*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n\/n**(-2\/9)*(n\/(n\/((n\/n**2)\/n)*n))**(-12)*((n**9*n)\/n**(-5\/3))\/((n**(5\/3)\/n)\/(n*n*n**4)) assuming n is positive.\nAnswer: n**(443\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30\/161 - 1\/23. Which is smaller: -0.14 or b?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*k + 6 = -2*j, -52 = 3*j - 5*k. Let y(u) = u**2 + 12*u + 12. Let s be y(j). Is (-102)\/s + 1\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - 7) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8607863.\nAnswer: 11, 31, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3))**(-12)*l*l**6*l*l*(l*l\/(l\/((l\/(l**(1\/2)*l))\/l)))\/l*l*(l**5\/l**2)\/((l\/(l**(-6)\/l))\/(((l**(1\/3)*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.9 - -18.9. What is the fourth smallest value in -0.2, l, -5, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111311 and 1264.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*v**5 - 114835*v**3 + 12699758*v wrt v?\nAnswer: -440*v**3 - 689010*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70*(-10)\/20*(-2)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2892*s**4*z - 2*s**3*z**2 - 7338*z**2 wrt s?\nAnswer: 11568*s**3*z - 6*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/18 + 5\/(-29 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 1:04 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1137230*g**3 - 980538*g?\nAnswer: 6823380*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11766?\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z + 50 + 130. Suppose -13 = -3*h - 4. Put 5, h, z in increasing order.\nAnswer: z, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x**2 + 75. Calculate the remainder when p(0) is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(567)*-2 + sqrt(567))\/(sqrt(18)\/sqrt(8)))\/(((sqrt(45) + sqrt(45)*-2 - sqrt(45))*-2)\/(sqrt(10)\/sqrt(2)*1)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8657971 to the power of 1\/2, to the nearest integer?\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from hhsdshxzhsyhx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -10960724.\nAnswer: 10960723.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j. Suppose -u = -x + 19, -x - u - u + 25 = j. Calculate the greatest common factor of 63 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -511*y**6 + 15*y**2 - 3*y wrt y.\nAnswer: -61320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 745638 to the nearest one thousand.\nAnswer: 746000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24.55 in 2\/11, -7, 0.01, -35?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 3091.\nAnswer: 46365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + r + 1. Let o(q) = 9*q**2 - 12*q - 11. Let v(w) = 5*k(w) + o(w). Determine v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let p(q) = -w*q - 9 + 5 - 6. Let h be p(-8). Solve 0*o = -2*o - h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000207658078 rounded to seven dps?\nAnswer: 0.0002077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k*k**(-2\/9)))*k)**(-5\/18)\/(k**(-2)*k)**(-45))**(1\/20) assuming k is positive.\nAnswer: k**(-1483\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4160284*c*x**4 - 466*c*x**2 - 9891*x**2 wrt x?\nAnswer: 99846816*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:16 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 281\/239 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 16142362*a**2.\nAnswer: a**2*(a - 16142362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/47390 and 32\/273.\nAnswer: 1848210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2894*m**4*o - 4*m**4 - 2*m**2*o - 6*m**2 + 102*o wrt m?\nAnswer: 69456*m*o - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 + -92. Suppose l = 4*w + 5*k, w + k = 2*w - 15. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880533351.\nAnswer: 1777, 1058263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601 at most as big as 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1915 - -1?\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 32. Let j(n) = 7*n + 3. Let v be j(p). Suppose 2*x + x - 4*r - v = 0, 2*r = -5*x + 55. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t)\/t)**43\/(t*(((t\/(t*t**(-2)*t))\/t)\/t)\/t*t\/t**(-5\/7)) assuming t is positive.\nAnswer: t**(597\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/9, -3\/7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/63)*f)\/f)\/(f\/f**1) assuming f is positive.\nAnswer: f**(65\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 46)\/((-4)\/(-22)*1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 9*s**2 + 30 - 5*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 19*r**2. Let h(x) = -675*x. Give h(z(q)).\nAnswer: -12825*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 114, 82, 26, -60, -182, -346?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 186?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 2*r**2 + 8*r + 16. Calculate i(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-468)*(540 + -7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 5. Suppose 5*t + 2*r = 50, t + 0*r - q = 5*r. Suppose 11*o - 217 - 110 = -85. What is the lowest common multiple of o and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114 - 45*l - 114 + 229)*(6*l - 7*l + 5*l) to the form u*l + s + j*l**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v**2. Let r(j) be the first derivative of 46*j**3\/3 + 469. What is r(u(a))?\nAnswer: 3726*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2293051399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 18*r = -2282. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5833 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 22 + -36 + 31\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48299, -96959, -145947, -195263, -244907, -294879?\n\"Answer: -164*d**2 - 48168*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -50.52, 395, 0 in ascending order.\nAnswer: -50.52, 0, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 26.\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 6, 2*p - 4 = -0*m + 2*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -225698573 minus -0.4?\nAnswer: -225698572.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -53*b**3 - 5*b**2 + 2*b - 50. What is the units digit of n(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015881329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*2*(-1)\/4. Suppose -3 + 15 = 3*l. Let x be l\/12 - (-4)\/6. Put -5, x, s in descending order.\nAnswer: s, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52337226 != 52337226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*h**3 - 142 + 142.\nAnswer: 62*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/117 + (-40)\/260. Sort -2, g, 0.01.\nAnswer: -2, 0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/p)**(17\/4))**(-6\/7)*(p**(-3)*p**(-2\/7))\/(p\/p**(-3\/5)*(p*(p\/p**(-1))\/p)\/p) assuming p is positive.\nAnswer: p**(13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 3 + 1\/2*h**2 - 1\/3*h**4 + 1\/20*h**5 - h + 1\/3*h**3. Let q(n) be the first derivative of u(n). Determine q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 569042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffuffuu.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5812, -11627, -17448, -23275, -29108?\n\"Answer: -3*w**2 - 5806*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 10*n - 11. Give b(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/21 - 6\/7. Let l = -10 - -11. Let y(p) = p + 23. Let q be y(-21). Which is the nearest to l? (a) -0.3 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:18 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 394756753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 60, 91, 122, 153, 184?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13120?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.3 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3023312 - 10?\nAnswer: -3023322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40984?\nAnswer: 2, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 50093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2656.\nAnswer: -5312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 20 - (4 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 264 = -3*t. Let a = 70 + t. Let c(v) = -v**2 + 24*v - 135. Calculate the remainder when a is divided by c(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355733947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -1, -3 in descending order.\nAnswer: -1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-550*n - 1010*n + 134*n - 390*n - 369*n + 158*n)*(-7 - 10 + 8).\nAnswer: 18243*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Determine o(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -1. What is the highest common divisor of j and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 - 249. Let k be (1 - 21)*(-6)\/4. Suppose 14*s - k = q*s. Solve 0*p = -s*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p + 182 = 41*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*p + 20 - 0, 4*p - 2*c = 22. Let k be (-2 + p)*0*-1. List the prime factors of (k + 10)\/(-1 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -274*k - 2703. Let a be q(-25). What is the greatest common divisor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*16877.82\nAnswer: -84389.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100875*n**2*z + 2*n*z + n + 2*z - 115 wrt n.\nAnswer: 201750*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {j: 8, u: 8, s: 1, q: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*(-2*sqrt(209) - sqrt(209)) + sqrt(209))*2)\/(sqrt(539) + sqrt(539)*2 + sqrt(539) + sqrt(539) + sqrt(539)*3).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45289004 rounded to the nearest 10000?\nAnswer: -45290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, n: 2, w: 1, v: 2}. What is prob of picking 1 d and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*r**3 - 87*r**2 + 2*r + 43 - 13 - 72*r**2 - 27.\nAnswer: -106*r**3 - 159*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -26. Suppose -d*u - 85 = 35. Let x = u - -39. Put 2, -4, x in decreasing order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -5*y**4\/12 + 65*y**3\/3 - 120*y**2 - 679*y. Factor d(o).\nAnswer: -5*(o - 24)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/40*(1 + 16\/4). Suppose -10*h - 4*l - 21 = -13*h, 0 = p*h + 3*l - 28. Calculate the lowest common multiple of (8\/(-5))\/(2\/(-10)) and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19584588 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57438 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5754942 and 13\/12852.\nAnswer: 80569188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 15 = 4*k - 5*k, 0 = -4*k - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2.3 (c) 2\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 3. Let c be j(-4). Let i = -21 - -49. Let h be (3\/4)\/(c\/i). Solve 2*v + 4*t + h - 7 = 0, -5*v - 27 = 2*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-20) - (-56)\/(-90). Which is the biggest value? (a) 0.5 (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-4\/9))*(n**(-3\/7)*n)\/n*(n**(-2\/5)*n)**30*(n\/n**(-2\/3))**(-49)*(n**(1\/4))**(-43) assuming n is positive.\nAnswer: n**(-18749\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 27*n**2 - 28*n - 16. What is y(-28)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 7:58 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.8644565815 + -1\nAnswer: -1.8644565815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35413571 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5328, -5295, -5264, -5235, -5208, -5183, -5160?\n\"Answer: -r**2 + 36*r - 5363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99966.21 nanoseconds in minutes?\nAnswer: 0.0000016661035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -18. Let w be 1*(g + -1 + 3). Let m be (116\/(-36) + 3)\/w. Which is the nearest to 0.1? (a) 5 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 - 449*j - 445*j + 1351*j - 444*j to the form w*j + p and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -46.729 * 29\nAnswer: -1355.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2009*s**5 - 477453151*s**4\/2 + 105224053*s**3 + 231360367*s**2\/2 + 18062006*s - 237658 = 0.\nAnswer: -118829, -2\/7, 1\/82, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.3, -0.6, 6, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/120*j**6 + 3\/2*j**3 + 0*j - 1\/3*j**4 + 4*j**2 + 0 + 2\/15*j**5. Let g be u(7). Solve -12 = -2*o - g*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/111, -1, -0.6 in increasing order.\nAnswer: -1, -0.6, -1\/111, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h - 5*f = -60*h - 57, 11 = -4*h + 5*h - 2*f for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 7. Let h be z(-3). Suppose -o + 55 = k, -h*o - 3*k + 116 = 2. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5048100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -120376*x**2 - x. Let z(v) = 5*v. What is r(z(j))?\nAnswer: -3009400*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 5*r**4\/4 - 11*r**3\/3 - 1. Find the third derivative of o(h) wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 + 6*g**2 + 4*g + 8. Let k be (-11 + -4 + -2 + 4)*1. Let s be a(k). Suppose -s = -7*u + 5312. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51127 and 3526?\nAnswer: 102254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**4 + 6*d**3 + 10*d**2 - 16*d - 14. Let v(i) = -5*i**4 + 17*i**3 + 29*i**2 - 48*i - 41. Let k(g) = -7*s(g) + 2*v(g). Let k(l) = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -430a - 4?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*t - 4 - 4, 4*g = 3*t - 2. Calculate the highest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.092*-0.5\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by -3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 148210*f - 60. Let y = 58 - 72. Let m be d(y). Round m to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 5495070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6404 divided by 2\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:19 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64348 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: Let b = 255\/23 + -40591\/3657. Let a(k) = -k**3 + 19*k**2 - 30*k - 41. Let y be a(17). Suppose y*f = 26*f. Is f > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {g: 1, k: 3, b: 3, q: 1, d: 5, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2892 - -3348. What is the greatest common factor of 247 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1330414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 816, 830, 840, 834, 800, 726, 600?\n\"Answer: -2*x**3 + 10*x**2 - 2*x + 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (6 - 2) - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/41))\/t**(-1\/10))\/(t*t*t\/t**(4\/7)*t)**(2\/7) assuming t is positive.\nAnswer: t**(1439\/20090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30570.\nAnswer: 2, 3, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -32. Let a be 5\/2*v\/(-10). Suppose a = 3*h + 19. Let b(f) = -f - 6. Calculate b(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*l - 8, -5*l + c + 14 + 11 = 0. Suppose 3*x - 2*u + 4 = 31, -39 = -3*x - 2*u. What is the remainder when x is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.86 and -0.2.\nAnswer: -13.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -213 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3974*h - 1685. List the prime factors of l(-11).\nAnswer: 13, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a + 30. Let z be -2 + a\/9 + 3. Let o = 1 - 0.5. What is the third biggest value in 0, o, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)*l)**(-1\/15) assuming l is positive.\nAnswer: l**(-4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31\/(-3 - (-3 - 1)). Suppose 2*n + 26 = 4*h, 5*n - 5*h + 46 = -34. Let q = n + b. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j + 75. Let l be c(9). Suppose -q = -l*g + 6*g - 255, 10 = 5*g. What are the prime factors of q?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -199. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.087820416 to 3 dps.\nAnswer: 2.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.000008 + -19. What is m rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 4*y**3 - 2*y**3)*(37480*y**2 + 6083*y**2 + 33820*y**2 - 19053*y**2 + 46828*y**2).\nAnswer: -105158*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2. Let p(b) be the third derivative of -b**7\/2520 + 5*b**4\/4 + 12*b**2. Let r(k) be the second derivative of p(k). Calculate r(w(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28200?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654795089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 5, t: 2}. What is prob of sequence tct?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*t + 40, 3*s - 7 = 2*t + 2. Suppose -50 = t*c - 8*c. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 7 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2515049 - 1462049. What is d rounded to the nearest ten thousand?\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (23 - (47 - 7)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -113206.\nAnswer: 6\/56603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6800651 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1416478272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 - y. Let j be d(-4). Suppose -j*g = 4*n, 2*g + 6 = -n + 4. Suppose 3*v = -i - n + 8, -2*i - 12 = -2*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/21 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:13 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4142.4 and 190.\nAnswer: -787056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -10880.\nAnswer: -1\/5440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 7*w + 12. Determine x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18802 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-316)\/(-12)*(-6)\/20 and 31\/19?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/4 + 39*m\/2 + 81\/4 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*42\/4. What is the remainder when 2500\/28 + 2\/k is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 54 = -19*k + 65. Solve -13 + 8 = 3*q + x, 3*x + k = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8285674ug to kilograms.\nAnswer: 0.0000000008285674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 2*n**2 - 48*n + 356. What is w(8)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 39608*q + 98049604.\nAnswer: 4*(q - 4951)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(36\/20 + -1). Solve 0 = l*o + 31 - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) -69 (c) 4 (d) -0.1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) + (-42)\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.155 in -4299, 3, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-9))\/((-3)\/144). Let l = -107 - r. Suppose t - 1221 = -l*c, 5*t + 691 + 309 = 4*c. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -19. Let v = t + 18. Suppose v*y - y = 185. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 55 = -51. Suppose 2*m = -8*o + 5*o + 807, -2*o - g*m = -546. What is the remainder when o is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49, -100, -151, -202, -253?\n\"Answer: -51*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8428 + 6013. Let g = 2419.982 + r. Let f = 5 - g. Round f to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/14)\/(130\/(-14) + 9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -218336.\nAnswer: -1\/109168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Let t be (-21)\/27 + (-2)\/x. What is the smallest value in 0.3, t, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 3*s + 1. Let z be t(-5). Let a be (z\/6)\/((-2)\/4). Suppose 5*l**3 + l**3 - 2*l**2 + 2 - 4*l**a - 2*l = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 927*f + 19734.\nAnswer: 3*(f - 286)*(f - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.9, -126, 0.3, -8\/7, -0.3 in decreasing order.\nAnswer: 3.9, 0.3, -0.3, -8\/7, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 853 - 65. What are the prime factors of x?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -x - 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 10. Let h be d(-9). Let a = h - -22. Suppose a = 2*u - 3*w - 111, -2*u = 2*w - 144. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 10*y - 5*y. Let q(b) be the second derivative of -b**3\/6 - 10381*b. Give q(f(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -321, -894, -2005, -3834, -6561, -10366?\nAnswer: -15429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = 2*c, -j + 133 = -c. Let h = -16633\/127 + j. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22882 is divided by 3806.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -35*p + 25*p. Calculate the smallest common multiple of 90 and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 6)*(-4*i**4 + 3*i**3 - 3*i**3)*(i + 4*i - 4*i).\nAnswer: 28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5655850 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 239834555 to the power of 1\/2, to the nearest integer?\nAnswer: 15487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2371 - -2373. Let r(f) = f**3 + 6*f**2 - 4. Let j be r(-6). Let p be 4\/j*(z - 1). Sort p, 2, 5 in ascending order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 13730*l - 3496040.\nAnswer: -5*(l + 284)*(l + 2462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-4)\/6)*3\/(3\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1024)*-3)\/sqrt(8).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1854 - 1856. Which is the closest to 0.1? (a) 19 (b) s (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 = -8. Let x(m) = 2*m - 3*m + 4*m - q*m + 1. Let o(f) = 3*f + 2. Give o(c) - 2*x(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 12*o + 4. Let d be q(-11). Suppose 4*j + 21 = 3*x + 8*j, -5*j = -d. Solve 0 = -5*c + 2*s - 1 - 0, -x*c = -s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6571*a**2 + 4555*a + 1?\nAnswer: -13142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/600 + o**5\/100 - o**4\/30 - 17*o**2. Factor i(a).\nAnswer: a*(a - 1)*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let u(x) = -6*x - 50. Let s(y) = -5*c(y) + u(y). Determine s(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 2b35?\nAnswer: 2b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 57*c + 787. What is l(-19)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.8935005 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*n + 159 = 0, 2*n + 0 - 91 = -3*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*a*j*t - 21162*a*j - j*t - 38008*t - 11 wrt a.\nAnswer: -57*j*t - 21162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r + 88. Let k be o(-6). What is the greatest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62564911?\nAnswer: 863, 72497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 1, z: 1, h: 5}. What is prob of picking 1 z and 1 l?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251291.\nAnswer: 3, 417097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 0*k + k)*(-k + 8 - 8)*(4*k - 3 - 7*k + 13*k) in the form p + r*k**3 + q*k + z*k**2 and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(162)\/(sqrt(63)\/sqrt(7))*-2)\/(sqrt(72)\/(sqrt(1200)*-3)))**2*6.\nAnswer: 64805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 332397016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019745773 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*(8 + (-8 - -8)). Suppose -x*i + 16 = v + 10, -5*i + 4*v = -18. Solve -i*g + 1 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -29*c + 75. Let u be v(-4). Suppose 197*q = u*q + 1260. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -198600 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69756*l - 34880*l + 7*l**2 - 34876*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s*s*s)**(-1\/4)\/(s\/s**(-3\/2)*s**(-3\/5)*s*s*s) assuming s is positive.\nAnswer: s**(-623\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23306 + 35884. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2847453.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 51, 10, 20, 6, -1 in decreasing order.\nAnswer: 51, 20, 10, 6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) -61 (c) 3\/134 (d) -5 (e) 0.4 (f) -0.5 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12133, -24305, -36477?\n\"Answer: -12172*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/s**(-3\/5)*s)\/s)\/s*s*(s*s**(-6)\/s*s)\/s*(s\/(s**(1\/3)*s))\/((s\/(s\/((s**(2\/11)\/s)\/s)))\/s*s))**(2\/11))**(11\/4) assuming s is positive.\nAnswer: s**(-158\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1854, -1097, -4050, -7005, -9962?\n\"Answer: -m**2 - 2948*m + 4803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62589977 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 182\/73, 4, -0.1, 0.4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 4, -0.1 in increasing order.\nAnswer: -2, -0.1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 12*w**2 - 11*w + 7. Let q be h(-11). Suppose -2*o - 3 = -q. Suppose -2*s - 8 = -i, -4 = -i + o*i. Is -6 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3846 - 146*p - 3846 in the form b + a*p and give a.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -88. Suppose -c = -5*i + c + 122, 0 = 5*c + v. What is the remainder when i is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 6*r**2 - 6*r + 1. Let z be (7\/3)\/((-2)\/(-6)). Let s be c(z). Suppose -q + s = -163. What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13580999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 2766?\nAnswer: 19362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*r + 44 + 44 = 0, -4*g - 3*r + 187 = 0. Suppose -420*b + 4*l - 130 = -422*b, 3*b - 258 = 3*l. What is the remainder when b is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-2 - -219 - (20 - 23). Let x = -32 + -110. Let h = d + x. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 5450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 2120*m**2 - 1025*m**2 + 4*m - 1098*m**2 - 4*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15401 divided by -33\nAnswer: -15401\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 24 - 0. Suppose -24 = -2*p - 0*z + 5*z, b*p - 3*z = 48. Let j be (-6)\/(p\/(-5))*284. Round j to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, 5, -10 in ascending order.\nAnswer: -10, -6, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/1925*20 - (-2)\/11.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(0 - 0 - 2). Let c = -18 - -17. Let l be (c\/7*y)\/(-1). What is the third smallest value in l, 2\/7, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570775 is divided by 231.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/46 in -4, 6, -0.2, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f = -566*f - 410*f - 25236 - 26406 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, j: 5, d: 1}. Give prob of picking 2 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 112. Determine w(23).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1311 + 2621\/2. Put a, -2\/25, 0.5, -7\/3 in descending order.\nAnswer: 0.5, -2\/25, a, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 1, z: 3, k: 1, i: 4, p: 2}. Give prob of picking 1 z and 1 p.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-111 + -87 + 292)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 274*q - 8. Give x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*((sqrt(153) - (sqrt(153) - -1*sqrt(153))*4) + sqrt(153))*-3)\/(-6*4*(sqrt(9)*2 - sqrt(9))*5).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*r - 4 = -7*o, 6 = o + 2*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 64.7484 decades?\nAnswer: 0.647484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2650544 + 41?\nAnswer: -2650503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 4, j: 6}. What is prob of picking 2 j and 1 v?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 181.88169 months?\nAnswer: 1.51568075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + t**3 + 0*t**3)*(0*t - t + 2*t)*(3 - 5 + 0).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 8:01 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*f + 39*o - 99 = 72*o + 12, 22 = -4*f - 2*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0122 * -1637.\nAnswer: -19.9714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**2 - 9 - 54*t**4 + 13 + 51*t**4 - 10*t**2 + 28*t**3 to y + w*t + k*t**4 + h*t**3 + m*t**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 96 = -3*m. Let v = -7622 - -7621. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 247*p**2 + 106*p - 1919. What is n(-124)?\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12 - (1 + (-10)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/249384187?\nAnswer: -6\/249384187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f + f + f + (-2*f + 2 - 2)*(1 - 3 + 3).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from qaawaxl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0. Let n = -3 - c. Let i(f) = -3*f + 3. Let k(a) = -a + 1. Let h(t) = t + 7. Let q be h(0). Determine n*i(z) + q*k(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f**2 - 10*f**2 + 15*f**2 + (-1 + 2 - 3)*(-f**2 - 2*f**2 + 4*f**2) - 2 - f**2 + 2 + 3*f - 3*f + 2*f**2 in the form v*f**2 + m*f + d and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -712.\nAnswer: -712.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -23*l**2 + 2669*l + 4378. What is c(117)?\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2. Let d(c) be the second derivative of c**4\/6 + 9*c. Determine s(d(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 5, t: 5, f: 4}.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**2 - s**3 + 3\/4*s**4 - 5*s + 0. What is the second derivative of o(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -3102?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 4*q**2 + 5*q + 2. Let w be m(-5). Let c(a) be the first derivative of 2 + a**3 + 0*a**3 - 6 - w. Factor c(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2, -0.1, -63?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*b - 76, -4*v + 2*b - 44 = -228. Calculate the least common multiple of 136 and v.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 5. Let s be p(7). Let x = 7 - s. Calculate the highest common factor of x and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353788873 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: What is the square root of 100737517 to the nearest integer?\nAnswer: 10037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 879 - 882. Which is the second biggest value? (a) 2 (b) 0.05 (c) -2\/7 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 25*d = -16. Suppose -2*h = -4*f - 0*f + d, -9 = -f - 3*h. Solve 2*l - f = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 183505 and -5.\nAnswer: -917525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.17 from -1201786.78.\nAnswer: -1201786.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 - 5*j - 9. Let l(k) = 3*k**2 + 2*k + 5. Let d(p) = -4*b(p) - 7*l(p). What is the remainder when 98 is divided by d(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5886930 to the nearest integer?\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30044 and 118622.\nAnswer: 6880076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7*((h*h*h**(-6)\/h*h)\/h)\/h*h**(-1\/5)\/h**(1\/44) assuming h is positive.\nAnswer: h**(171\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(4 + (((1*sqrt(612) - sqrt(612)) + sqrt(612) - sqrt(612))*1*2*-2*-2)**2 + 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166301*u + 2*u**2 - 83149*u + 427*u**3 - 83152*u to k*u**2 + q*u**3 + m + v*u and give q.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003230816 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.742 and -0.4.\nAnswer: 1.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -13.1, 5, -97348 in decreasing order.\nAnswer: 5, 3\/2, -13.1, -97348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2686.3742 + 2665. Let v = f + 17.37423. Let h = v + 4. Round h to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115325000 rounded to the nearest 1000000?\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2612331 times -0.3?\nAnswer: 783699.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*x - 37 = -0*x, -2*x + 22 = 2*c. Let i = 26 - -28. Calculate the smallest common multiple of i and c.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -239\/6*q**3 - 7\/12*q**5 + 1\/12*q**4 - 55*q**2 + 0 + 0*q. What is the derivative of o(y) wrt y?\nAnswer: -70*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14192 and 0.3?\nAnswer: 4257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/6248151 and -1\/9?\nAnswer: 6248151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 7*r**4\/24 + 4*r**2. Let a(w) be the third derivative of w**4\/24 - w**2. What is b(a(n))?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.554456 years to months.\nAnswer: 30.653472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/824 and 59\/10.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 219224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-128)\/(-96)*-3*(-1)\/(-2). Let c be u + 9 - ((-5 - -4) + 5). Let z be 66\/21 - (-2)\/(-14). Solve f = -c*b - 2, 0 = -z*f + 5*b - 2*b - 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 7:50 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -17*w + 11. Let g(y) be the third derivative of -y**4\/3 + 5*y**3\/6 + 17*y**2 - 94. What is 7*g(f) - 3*j(f)?\nAnswer: -5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -8*c**3\/3 + c**2\/2 + 2040. Let m(r) = r**2 + 4*r**2 - 7*r**2. What is x(m(v))?\nAnswer: -32*v**4 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15393*k**2 - 32008*k**2 + 15586*k**2.\nAnswer: -1029*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 178.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g + 2 = 0. Suppose 0 = -3*x - g*x + 295. Suppose 2*r - x = v, r = -r + 2*v + 64. Solve -2*j + 4*i + i - r = 0, 0 = 3*j + i - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/((-381)\/(-635)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from kjyjkjcyjyyjjjmgkjgy.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:13 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0*v. Suppose -336 = 94*n - 91*n. Let i = -110 - n. Solve -3*g + v*g - 2*t = -i, 18 = 4*g - 5*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.83423 micrograms in milligrams?\nAnswer: 0.03983423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(2*(-2)\/4). Let t be -3 - (4\/(-4) + z). Solve -5 = t*j + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 24 - 7*g**3 - 53)*(-2*g + 5*g - 2*g).\nAnswer: -7*g**4 - 29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 2*n)*(-3*n**3 + 3*n**3 + 3*n**3) + (-2*n - 2*n + 2*n)*(49 - 7*n**3 - 49) + 4*n**4 + 7*n**4 + 27*n**4.\nAnswer: 58*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, 187, 625, 1477, 2881?\n\"Answer: 23*r**3 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2. Let b(w) = 13*w + 14. Calculate b(o) - 6*u(o).\nAnswer: 13*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948308 divided by -4?\nAnswer: -737077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -5*s**3\/3 - 167*s**2\/2 + 35*s - 150. Is p(-31) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fxngfxxnnff?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) 4 (c) -5\/63 (d) -0.1 (e) 0.4 (f) -3 (g) -3.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 529436.3 to the nearest 1000.\nAnswer: 529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -73601 and 4226.\nAnswer: -69375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -289, -3, -7, 1, -4 in descending order.\nAnswer: 1, -3, -4, -7, -26, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 88*h + 273. What is l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/76 + -1 + 18\/12\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let c = 44581\/9 - 4959. Calculate the common denominator of 5*((-6)\/5)\/a and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643435107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 10*d - 3. Let n be t(10). Let q = 90 + n. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = 15*x + 14 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34895101 is divided by 63.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3700?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 14 = 2*b, -4*g = -8. Suppose -y - 3*l = -3*y + 24, b*l = 0. Which is smaller: y or 14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 31*c**2 - 27*c**2 - 2*c**2.\nAnswer: -60*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2470b1?\nAnswer: 2470a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*z = 625*z + 17340 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Let x = -221 - -238. Suppose n = 6*v - 1 - x. Let i(z) = z**3 - 2*z**2 - 3*z - 2. Determine i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25460 and 35986?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(20\/(-8)) - (-11)\/(66\/30)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**5\/5 + k**3\/2 - k + 5. Let p(d) be the first derivative of j(d). Find the second derivative of p(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*y + 392874 - 357813 = 0 for y.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 915 = -14*n. What is the first derivative of -i**2 - 3*i**2 + n + 6*i**2 - 93 + i**2 - 28*i**3 wrt i?\nAnswer: -84*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3868549 = -3*v, -472*i = -4*v - 469*i + 5158058. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170 (base 9) to base 3.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 0 (c) 3\/4 (d) -5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134 and 6372608.\nAnswer: 426964736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9198839 is divided by 33329.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1331 + -1303. Calculate the least common multiple of 56 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-3 + (-27 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26767980, 53535963, 80303948, 107071935, 133839924, 160607915, 187375908?\nAnswer: 214143903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(4*a - 2*a + 6*a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(-2*r + 0*r + 0*r)*(-4 - 5 - 1) as o*r + i and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 15. Let m be f(6). Suppose m*s + 0*s = 135. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 630812.9 nanometers?\nAnswer: 0.06308129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - s = 7*s - 7*s - 9, 6*g - s = -9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 168\/(-196)*(-1)\/3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.9999948 - -17. Round x to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:11 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 113. Let i(a) = -5*a - 112. Give -2*i(k) + 3*t(k).\nAnswer: -2*k - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - (-6 + 0)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1539) + 1)**2 + (3 + 4 + sqrt(304))**2.\nAnswer: 128*sqrt(19) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36535, 1\/14, -5 in increasing order.\nAnswer: -36535, -5, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2) - (-16)\/2. Let b be (8\/k)\/(2\/3). Factor 4*x**3 + 0 + 1 - b*x**4 + 1 - 4*x.\nAnswer: -2*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 4, b: 2, x: 2, k: 2, t: 2}. What is prob of sequence kkpb?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + -4 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-1 + (-4)\/(-2)). Suppose -3*x = 5*o + 9, -3*o + 15 = -4*o - v*x. Suppose 4*n - b - 40 = o, 0*n = -2*n - 4*b + 20. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 94*o + 282. Let i be v(-3). Solve r - 5 = 4*n, -i*n + 8 = 4*r - 31*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04656*1549\nAnswer: 72.12144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1239*g**2 - 265*g**2 - 441*g**2 - 264*g**2 - 266*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4752104 (base 8) in base 7?\nAnswer: 14021462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2618*x**4 + 6892*x**3 + 67084887*x**2 wrt x?\nAnswer: 62832*x + 41352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = -9. Suppose 2*c = -2*s + 6*c + 32, 4*s + 2*c - 14 = 0. What is the smallest common multiple of i and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21434244 (base 6) in base 9?\nAnswer: 1178281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 2, n: 1, l: 1}. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from adztz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*z)*((-2 - 1 + 0)*(1 - 1 + 2*z) + 5*z - 3*z - z) - 5 + 5 - 6*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**3 + x**2 - 5*x + 3. Let p(u) = -u**3 + u. Let h(v) = -3*p(v) - y(v). What is the tens digit of h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 2.1. Let f = c - 2.34. Let m = f + -0.06. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 7, s: 2}. Give prob of picking 3 t and 1 s.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52618100 rounded to the nearest 100000?\nAnswer: -52600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1921354*a**3 - 20017*a**2 - 371*a wrt a.\nAnswer: -11528124","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight thirds of a day in minutes?\nAnswer: 42240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)\/(n\/n**(-7)))\/((n*n**5)\/(n*(n\/(((n**(-1\/4)*n)\/n)\/n)*n)\/n)) assuming n is positive.\nAnswer: n**(-207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -5)\/((-2)\/3). Let k be x\/(1\/3*3). What is the units digit of 0 - k\/((-3)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.67861 (b) -1 (c) -0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d + 915?\nAnswer: 8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 231448275 divided by 20205\nAnswer: 11455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10019, 39245, 87945, 156119, 243767, 350889, 477485?\n\"Answer: 9737*b**2 + 15*b + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99653 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u + 3. Determine k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.6 - 8.7. Let j be (4\/(-48))\/((1\/(-2))\/(-1)). Sort -3\/8, j, w, 5.\nAnswer: -3\/8, j, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 54 - 6766314*y**3 + 6766255*y**3.\nAnswer: -59*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -3212000023?\nAnswer: -3212000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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(r) = -6*r - 8. Calculate a(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5570 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -36*-6*(-2)\/(-8). Suppose g = 5*i - 46. Calculate the lowest common multiple of i and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c0d3a9 + -a?\nAnswer: -5c0d3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 5 + k + 0. Let p be (-1 - 8)*8\/(-12). List the prime factors of x(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919315280 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 195597903 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 94.03855 millennia?\nAnswer: 940.3855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 2*i + 1. Let v(o) = -136*o**2 - 32*o + 16. Give 16*n(c) - v(c).\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2190466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -95, -172, -261, -356?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 1. Let z be (3\/(-4))\/(408\/(-64) - -6). Let w(n) be the first derivative of -n**4\/4 + n**3\/3 + n**2\/2 + 3. Calculate z*v(k) + 2*w(k).\nAnswer: -2*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79*d*i**3 + d - 45*i**3 - 2*i**2 wrt d.\nAnswer: 79*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19a61 + 6?\nAnswer: 19a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)*(h*h*h**0*h*h)\/h*(((h*h\/(h\/h**(-1))*h)\/h*h)\/h*h*h)\/h**10 assuming h is positive.\nAnswer: h**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 143360.\nAnswer: 430080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 17*l - 586. Is 48 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000148317 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 2*p. Suppose 5*t + 3*s + 10 = 0, -8 = -p*t + 4*t - 2*s. Let z be (3\/6)\/(t\/(-8)). Solve z*r = 4 + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 4. Let l be m(4). Let w be l\/(-2 - (-3)\/3). Let u = 21.2 + -21. Which is the closest to 0? (a) -1 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(5) + sqrt(245)) - sqrt(315)\/sqrt(7))**2.\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (673\/(-10) + 60)\/(1\/10)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -d - 71 + 211, -5*o - 3*d = -150. Solve 5*z + o = 4*u, 0*z = 4*u + 5*z + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b21 - -5?\nAnswer: b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75820 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -38*b**2 + 2*b + 63. Let u(w) = -2*w**2. What is v(u(r))?\nAnswer: -152*r**4 - 4*r**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2579 and 10.\nAnswer: 25790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 - 420*r**2 - 417*r - 219. Give m(85).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 454 + 1014 + (-2 - 1 + 2 + (4 - 4 - 2)*(-2 - 1 + 4))*(2 + 1 - 5))*(-10*s - 7*s - 8*s) to a*s + d and give a.\nAnswer: -37475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 685 + -686. Which is the second smallest value? (a) 5 (b) m (c) 4\/5 (d) -3\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -18. Let i(x) = -x**3 + 5*x**2 - 79*x + 303. Let g be i(4). Which is the biggest value? (a) l (b) g (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 44, 94, 184, 326, 532?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 107 = v, 3*x - 137 = x + 5*v. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, 1, -3371 in descending order.\nAnswer: 5, 2, 1, -4, -3371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n**2. Let l be -4 + 0\/(-2) + 11. Let i be 2\/l - 20\/70. Let j(p) = i*p - p + 4 - 4. Calculate j(u(h)).\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 408040\/(-16))\/(2\/4). Suppose -5*m = 3*u + q, -6*u - 85004 = -u + 4*m. What is u rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + -3 + 0 + sqrt(2448) + 0 + sqrt(2448))**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 = -0. Let y be 5\/(-2)*(-6)\/5. Solve -4*g + y*g = z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20275 is divided by 414?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.9 + -1.4. Let h = c + 0.5. Sort h, -1\/2, -0.1.\nAnswer: -1\/2, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:12 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430031 (base 9) in base 8?\nAnswer: 763643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-13)\/(-7) - (-150)\/70. Suppose 0 = -x*g + 5*f + 1022, g + 4*f - 2*f = 529. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2207035833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -54, 12 in decreasing order.\nAnswer: 12, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 1 - 131*g**2 + 1 + 124*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.9 + -51. Let z = -3.1 - o. Let s = 0.8 + -1. Which is the second smallest value? (a) 2\/11 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13 + (-3 - -2))\/((-22)\/(-11)). Find the common denominator of -57\/58 and (-46)\/(-2)*7\/308*p.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:02 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1729778464 and -10.3.\nAnswer: 1729778453.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -51. Suppose 7*f = 2*f + o. Find the third derivative of 6*m**4 - 4*m**f - m**2 + 3*m**4 wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + 8 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -8. Suppose 3 = -w, w = q + k*w - 149988. Suppose q = j - 4*j. What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdkeedom. What is prob of picking 1 o and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -96476 + 38853\nAnswer: -57623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 plus -0.009?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 300 + -443. Let p = 21 - a. Suppose -2*o + 101 = 5*g, -2*o - o + p = 5*g. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74 + -119?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/7 + 5425790*l\/7 - 2325336 = 0. Calculate l.\nAnswer: 3, 2712892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r + 3. Solve 0*c - r*c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.4, -3\/25 in decreasing order.\nAnswer: 0.4, -3\/25, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/11 + (-1 - -21088334). Let o = l - 11538329. What is o rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/15 + 1)\/(12\/30). Sort c, 8, -5.\nAnswer: -5, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(15)\/sqrt(5) + -4 + -4)**2.\nAnswer: -16*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98 and -0.1?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 509985 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j. Let d(l) = -9167*l. Give d(z(c)).\nAnswer: -64169*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -3\/8, -19749\/46, -5.\nAnswer: -19749\/46, -5, -3\/8, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u. Let i(v) = -3*v**2 - 5. Let z(f) = -4*f**2 - 6. Suppose -3 = g, -3*n + 7*n - 5*g = 35. Let d(m) = n*z(m) - 6*i(m). Calculate a(d(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2*((-429)\/22)\/13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715268407 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15656.486106 and 34?\nAnswer: 15690.486106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 14*q - 41. Give p(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 62, 0 in decreasing order.\nAnswer: 62, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9014.004 - 9013.90348842. Let z = i + -0.1005. Round z to seven dps.\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 2956*w - 2974*w - 4*m, 5*w + 30 = -m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-10)\/(-75))\/(11\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -588, -1541, -2896, -4659, -6836?\nAnswer: -9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 + r + 8. What is the remainder when 67 is divided by b(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53821, -53775, -53731, -53689?\n\"Answer: -x**2 + 49*x - 53869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:48 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -27*v**2 + 11*v**2 + 14*v**2 + 2*v - 22. Let u be c(0). Sort 1, -5, u in decreasing order.\nAnswer: 1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1243 (b) 1\/12 (c) -0.3 (d) 3 (e) 6\/5 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 6. Let l(o) = -o + 7. What is 3*c(z) - 2*l(z)?\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38891 is divided by 3315.\nAnswer: 2426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10273*r**2*w**2 + 54*r**2*w - 27340*w**2 - 2*w - 95 wrt r.\nAnswer: -20546*r*w**2 + 108*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.4 + -2.2. Let j = -13.3 - b. Which is bigger: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 202033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15070 and 2979065.\nAnswer: 65539430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3001302673 to the nearest integer?\nAnswer: 54784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1.7 in descending order.\nAnswer: 2, 1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 = -4*o + 5*o, -5*l - 20 = 0. Solve -j + o = 7*z - 2*z, -j = -4*z + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780 = -279*d + 47 + 289 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**2 + 21*l**2 - 57*l**2 + 17*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.1 - -59. Let s be (-220)\/165 + (-22)\/(-30). Which is the fourth smallest value? (a) s (b) x (c) -1 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 773339 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55662, 110802, 165942, 221082, 276222, 331362?\n\"Answer: 55140*m + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-41 - (49 + -78)) + (11 - (3 - 2))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - k = -550240000. What is k rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o + 603 = 22*o. Let b(j) = -24*j + 1. Let y be b(-4). Let h = o - y. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 28*s**3 - 8*s**2 + 14*s - 30. Let u(f) = f**2 + 31*f + 37. Let o be u(-30). Let d be h(o). Round d to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 10*p**2 - 8*p + 10. Let m be k(-9). Let u(v) = v**2 - 3*v - 16. Let r be u(7). Suppose z + r - 15 = 0. Solve z*h - m = 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 + -8488.\nAnswer: -8489.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14301.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30909998.\nAnswer: 2, 7, 19, 29, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14771622 to the nearest integer?\nAnswer: 3843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000796 rounded to 6 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -99, -138, -169, -192, -207, -214?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.3. Let w be (2\/10)\/((-27)\/675). What is the closest to 1\/4 in g, w, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 9045 + 9045.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562.79*2.\nAnswer: 1125.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 438 and 13797.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 802 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(2) - (-5 + sqrt(8))) + ((sqrt(500) - (sqrt(500) - -1*sqrt(500)))\/(sqrt(10) - (sqrt(810) - -1*sqrt(810) - sqrt(810))))**2.\nAnswer: -sqrt(2) + 185\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*n - 20. Suppose 17 = o - 9*f + n*f, -5*o + 7 = f. Suppose o*t - 55 = -3*t. Solve -m = -3*a + 9, -m - 2*a = -0*a - t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 7*a + 9. Let f be g(-1). Let w be (352\/(-240))\/(-11) - f\/(-10). Factor -5 - 25\/6*v - w*v**2.\nAnswer: -5*(v + 2)*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 8*x + 9. Let i be y(-7). Let j(s) = 5 - 2*s - i + 0*s. Let g = 9 + -4. Calculate j(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*1)**2 + (1*sqrt(20)\/sqrt(4) + -4)**2 + -3*(sqrt(55)\/sqrt(176) + sqrt(5) - (sqrt(500) + -2 + sqrt(500))**2).\nAnswer: -1007*sqrt(5)\/4 + 6053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 953688728 to the power of 1\/2, to the nearest integer?\nAnswer: 30882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -8*b**3 - 28*b**2 + 56*b - 20 = 0.\nAnswer: -5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let n(g) = -4*g**2 + 6*g. Let b(h) = -h**2 + h. Let o(i) = -12*b(i) + 2*n(i). What is f(o(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -21*h**2 + 11*h - 5. Let v(o) = -22*o**2 + 17*o - 6. Give 3*v(l) - 4*y(l).\nAnswer: 18*l**2 + 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q + 16 = 0. Let t = 20 + q. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-3))\/((-4)\/6). Suppose 0 = 2*a - 14 - n. What is the lowest common multiple of a and 1\/(-2) - 68\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 8. Let n(a) = 0*a - h*a - 3*a**2 + 2*a**2 - 2 - a. Give n(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17980 * -247.9\nAnswer: -4457242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1796 at least as big as -1770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**4 - v**4 + 5*v**4 + (2995*v - 2318*v + 2950*v + 3644*v)*(3*v**3 + 2*v**3 - 3*v**3) in the form i*v**3 + a*v + r*v**4 + u + y*v**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 3*r**2 + 15 + r**2 - 5*r**2)*((0 - 3 + 1)*(-2*r**2 + 2*r**2 - 2*r**2) + 462*r**2 + 522*r**2 + 44*r**2).\nAnswer: -1032*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161 (base 7) to base 9.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-13) - 2188\/(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8404 + 27?\nAnswer: -8388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*j**3 - j - 75 wrt j.\nAnswer: 66*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -3952002802.\nAnswer: -3952002801.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 636*s + 33708.\nAnswer: 3*(s + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -44. Let u(w) = -w**3 + 3*w - 1. Let d be u(2). Let j be 110 + -3 + d\/(-1). What is the greatest common factor of j and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42018 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (17 + -22 + 9 + (-1 - 7)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2\/3*i**3 - 2*i - 2*i**2 - 2. Factor y(p).\nAnswer: -2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 7. Let y(w) = 455*w - 34. Give -5*v(u) + y(u).\nAnswer: 450*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82037089 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/11, -10, -2\/11, -1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 - v + 3. Let d(b) = 7*b**3 - 1. Let y be d(-1). Let k be (-2)\/5 + y\/(-20). What is the units digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 4\/582246909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899687278.\nAnswer: 2, 949843639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 53\/5 of a millisecond?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.1 - 5. Let r = -0.9 - x. What is the closest to -0.3 in -4, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 442 + -447.68. What is the second biggest value in a, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 20*g**2 - 24*g + 15. Let j be s(16). Suppose -3*l = 3 - 0, 3*l + j = 4*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 + 84*p - 4*p**3 + 0*p**2 - 85*p + 6*p**3 to z*p**2 + u*p + y + i*p**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**3 - 7*t**3 - 6*t**3)*(0 + 3 + 0)*(-156 + 156 + 35*t).\nAnswer: -420*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 12, 14, 4, -5 in ascending order.\nAnswer: -11, -5, 4, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -3*a - 18. Let u(j) = 25*j**3 - 6*j + 5. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 19*x**2 - 3 - 3*x + 9 - x - 18*x**2. Let m be n(1). Solve -4*z + k - 28 = -3*k, 3 = 3*z + m*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + -9.83. Let o = -10.00004 - h. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 - (5 + 2) - (-101 + 99)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-473)\/(-5805) + ((-1350)\/375 - (1 - 5))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.667 - 0.63. Let r = p - -39.963. Let u = -54.2 + r. Round u to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 8*b**2 - 12*b + 1. Suppose -m = -s + 10, -s - 2*s = m - 30. Let j be o(s). What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 + -178. Let m = -0.97 + -1.03. What is the second smallest value in -1.3, -5, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by 11734?\nAnswer: 76\/5867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0211 and 2.6908?\nAnswer: 0.05677588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2. Let s(c) = -4*c + 9389746. Calculate s(y(t)).\nAnswer: 12*t**2 + 9389746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1026 and 798?\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/224490 and 43\/194558.\nAnswer: 2918370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + (sqrt(114)*1 - sqrt(114))*2 + sqrt(114)))\/((sqrt(48)*-3 - sqrt(48))\/sqrt(8)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 0.4 (c) -5 (d) -0.4 (e) -3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1055\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 313318 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/26*4)\/((-3)\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*n + 341 = 2687 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 7) to base 4\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 79 = -4*c. Let t be (-5)\/40 + -4 + (-7121)\/c. Round t to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 7*i**2 + 3*i + 5. Let w(s) = 3*s**2 + 3*s + 1. Let c be w(-2). What is the remainder when q(c) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1652684082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) 0.062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -47. Suppose -3*o = 0, 3*u - h*o - 498 = -8*o. What are the prime factors of u?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 + 324493 - 162250 + 3*l - 162243.\nAnswer: 7*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -395*b - 6720. Give a(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:07 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4944887386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 171*u + 4. Let b(w) = -2226*w - 53. Let s(z) = 4*b(z) + 53*m(z). Let a(h) = 2*h. Determine a(s(l)).\nAnswer: 318*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -329, 23, 0, -13 in decreasing order.\nAnswer: 23, 0, -7, -13, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1)\/(-2 - -4). Let x be g\/(5\/(17 + 3)). Let r be -4 - (3 + x) - -8. What is the closest to -0.1 in r, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1319838 and 30?\nAnswer: 6599190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 405. Suppose 18*n = 23*n - 4*v - 148, 3*n = 2*v + 88. Calculate the remainder when l is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*f**5 - 1116*f**4 + 12699*f**3 + 327918*f**2 - 133128*f = 0. Calculate f.\nAnswer: -12, 0, 2\/5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8 (b) -10 (c) -2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -73. Suppose 48 = 4*p - 3*w - w, 0 = 3*p + w - s. Suppose -6*o + 0*o = p. Sort 5, o, 2.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 31 = 215 - 64 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 389033, 389169, 389305?\n\"Answer: 136*g + 388897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1))**(-25\/3)\/(f**(3\/10)\/f**(-5\/4)) assuming f is positive.\nAnswer: f**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - r = 22421 + 44974, j = -4*r - 67398. Let f = 4806 - j. What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*l + 6, -5*q = -2*l - 4 - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 17*f + 5. Give u(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.83 and 0.1?\nAnswer: -0.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -35. Suppose 15 + 2 = 3*w - 2*f, -w - f - r = 0. Suppose -w*g - 2*g + 340 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18320 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21507 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(4\/3*(7 + (-425)\/50)). Solve 4 = 2*f, -5*u - 3*f - f - 12 = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(0 - 14\/8)*72\/(-1134)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 0.7, -0.2, 2\/19, 1, 47\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + l**4 + 1 + 535*l**3 - l + 178*l**4 - 536*l**3 as s*l**4 + a*l**2 + m*l**3 + n + r*l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a**3 - 14*a**2 - 16*a - 8. What is the tens digit of t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44670779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 20*v - 134. Let j(w) = 2*w + 8. Let p(q) = 4*j(q) - r(q). Suppose -o = o. What is the units digit of p(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from wffwwwwwfwww.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254438\/13 + -19572. Which is the fifth biggest value? (a) -1\/3 (b) -4 (c) 5 (d) -391 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 6*m - 72 = 0, -m - 6*m = -2*o + 10 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-28) - (-7)\/(-84)*3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*8\/(-18)*-3. Suppose -3*v + 0*v - p*t = -13, -2*t = 4*v - 14. Suppose 0 = j + 2*g - g - 11, -3*g = -4*j + 37. Solve -v*o + 2 = -j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 4) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3154733\/7 - 450676. Factor 11\/7*f - 24\/7 - i*f**2.\nAnswer: -(f - 8)*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99130, 103159, 107188?\n\"Answer: 4029*v + 95101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1194 + -1217 - (1 + -4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 0.27 (c) -6\/25 (d) -9.64 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let h(q) = -9*q**2. Let u(x) = -180*x**2. Let i(t) = 81*h(t) - 4*u(t). What is v(i(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (13 + -12) - 25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 64*k**3 - k**2 - k + 1. Let s be m(1). Let r = 2469 - 2450. Let d = s - r. What is the greatest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmaammaddmflmfll. Give prob of picking 1 a and 1 f.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (5 + -10 - -3) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - 2883\nAnswer: -2884.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3226 (b) 38 (c) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 22. Which is the closest to 1? (a) 2\/15 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, h: 7}. What is prob of picking 1 a and 2 h?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, t: 2, x: 3}. Give prob of sequence txot.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937664.\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:24 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861150 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/40 and 73\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) - 1*2. Let f be 2 + 0 - (2 + t). Solve f*j = 4*c - 22, 4*c - j - 15 = -6*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 1858324*s**2 - 1858326*s.\nAnswer: 2*s*(s - 929163)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*o + b - 0, -6 = -o - b. Suppose -6 = 3*r + 3*l, -o*l + 6*l + 12 = 4*r. Let f(n) = 2*n**2 - 4*n + 2. Give f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -o - 39, 5*s = o + 36 + 69. Let i = s + -15. Calculate the lowest common multiple of i and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210000 (base 5) to base 2.\nAnswer: 1101011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/8 and 3\/1 - (-456)\/(-132).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2083*n + 113881 = 13897 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18877616227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-192 - -196)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23491 = -58*j - 21693. Let b be 3\/12 + (-14)\/(-8). Suppose -u = b*r - 17 + 2, 5*r - 4*u = 57. What is the remainder when j is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 241 = 251 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (54 - (-7056)\/(-128))\/(30\/(-16))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 11*p - 18 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -829 (c) -3\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913931627?\nAnswer: 7, 130561661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -32*u**3\/3 + 50*u + 1. Let a(q) be the second derivative of -q**3\/3 - 2*q. Calculate a(h(d)).\nAnswer: 128*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 50.5. Let q = 6 - 0. Suppose -5 = -q*v + v. What is the second biggest value in 0.5, t, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from dwddwywdowdw?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1044 divide 55202705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*a = 513*a + 250 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5*u**4\/4 - u**3\/3 - 3*u**2 + 11*u + 2379. Let c(x) = -x**3 - x + 2. Determine 11*c(l) - 2*k(l).\nAnswer: -l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1 + sqrt(800) + sqrt(800)) - ((sqrt(216) - sqrt(24))\/sqrt(6))\/(sqrt(32)*2))*-6 + 3)**2.\nAnswer: -30177*sqrt(2) + 2065851\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-88)\/24)\/((-1)\/(-6)). Let d be (-3)\/(q\/4 + 1). Which is the smallest value? (a) -1\/5 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from thbbhhhbsbhhbbhkhsb?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*o = 3*t - 18, -2*t - o = -7. Let y(s) = 3*s**2 - 2*s - 1. Calculate the smallest common multiple of y(t) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((2427\/(-1560) - 6\/(-15)) + 433\/3464)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5102431025 + 3?\nAnswer: -5102431022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 189\/(-35))*4825. Suppose -4*j = s - p, -12*j + 2*s = -8*j - 1936. Calculate the greatest common divisor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 61, -6, -3, -7, 2 in increasing order.\nAnswer: -7, -6, -3, 2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 22 = 3*m. Let c be 1*m\/15 + (-122)\/(-5). What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-4*z + 4*z - z**5) + z**5 - 7*z**5 + 4*z**5 + 2*z**2 - 2*z**2 + z**5 + 0*z**5 + 9*z**5 - 4*z**5 + 18*z**5 + 35 - 35.\nAnswer: 20*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f - 33. Suppose -2*n - 4*n = -f. Let u(r) = 2*r - 1. Let a be u(3). Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8943 + 1.95. Let r = z - -37.8443. Round r to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 128, 162, 220, 308, 432?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.73 + -9.946. Let o = -4.8 + h. Let p = o - 0.784. Round p to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:44 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v + 7*v + 2*v)*(4 - 4 - 2)*(v**2 - 3*v**4 - v**2) - 1 - 2*v**5 + 1 + (2*v**2 - 32*v**2 - 13*v**2)*(4*v**3 + v**3 - 4*v**3).\nAnswer: -87*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -14. Let l(r) be the third derivative of 0*r + 0*r**t + 0 + 0*r**5 + 2*r**2 + 1\/180*r**6 - 1\/36*r**4. Suppose l(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 145704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 7517465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from fffgfffg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*m + 731020*j - 731018*j, -3*j + 41 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2. Suppose -2*x + 7 - 3 = 0. Let s(j) = -3*j**2 + 0 - 2*j**x + 0. Determine s(q(c)).\nAnswer: -605*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.4. Let v = -0.04 - 0.02. Let h = -1438.5 + 1439. Which is the nearest to k? (a) 5 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.397 - 0.003. Let l = 1 + -1. Let v = -0.2 - l. Sort y, v, -1\/4.\nAnswer: y, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6 = -2*q - 5*a, q = -a + 3. Differentiate -7*u - 3 - q + 1 wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9268373 decades to centuries.\nAnswer: 0.09268373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12262228903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -35, 11 in decreasing order.\nAnswer: 11, 4, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92118239?\nAnswer: 29, 3176491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 79.15401g?\nAnswer: 79154010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/28)\/((-45)\/(-60))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 338 + -189. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.55019398 to three dps.\nAnswer: -4.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 2*r**2\/5 - 8*r - 8\/5.\nAnswer: 2*(r - 2)*(r + 2)*(5*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25748 is divided by 2245?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 - 13372*a + 66810 = 0. What is a?\nAnswer: 5, 6681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6505000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/7))\/(u\/((u\/(u\/u**(-2)))\/u)))**(-10)\/((u**1)**(-29))**7 assuming u is positive.\nAnswer: u**(1641\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2782317 or 2782311?\nAnswer: 2782311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 5*k**2 - 3*k - 2. Let o be p(4). Let t(h) = 2 + 4*h**2 + 0 + o - 9 + 4*h. What is the units digit of t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 848 + -846. Suppose -b - 3*a - 265 - 489 = 0, 4*b - j*a = -3072. Is b smaller than -766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.46 or -41880?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.298 - -0.798. Put 0.01, -0.1, b, 5 in ascending order.\nAnswer: -0.1, 0.01, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187940, 187944, 187948, 187952, 187956, 187960?\nAnswer: 187964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**4\/3 + 112*u**3\/3 + 1978*u**2\/15 + 2116*u\/15.\nAnswer: 2*u*(u + 2)*(5*u + 23)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 572903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 48 + (-28 - 10) + -34?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19898239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 894 - 860. Calculate the least common multiple of y and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -35*k + 7800. What is the second biggest value in -2, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from xzkakkkzxkk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*i - 41776 - 41764 + 125309 - 31*i - 41771.\nAnswer: -126*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x**35\/x))*x\/x**(-1\/2))\/(x*x**(-28)\/x*x*x**(-5\/3)*x) assuming x is positive.\nAnswer: x**(373\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/2, -0.148, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 13 = 4*z, 0 = -2*z - 3*u - 4 - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29103 + 29477.562. Let c = -374.5469993 + y. Let u = -0.015 + c. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1 + (-4)\/10). Suppose -4*k + 73 = g - 5*k, -3*g - c*k + 235 = 0. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310313221 (base 4) to base 14.\nAnswer: 58cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 8*w - 3. Let r be x(-8). Let v = 16 + -10. Let i be (9\/v)\/((-6)\/(-20)). Put i, r, 2 in descending order.\nAnswer: i, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 31. Let b = i + -8. Let f(p) = p**3 + 12*p**2 - 216*p + 97. Let u be f(-22). Solve b*w + 25 = u*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 22. Let q = 589 - 586. What is the lowest common multiple of u and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a85 (base 16) to base 11\nAnswer: -2029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 2. Let w(f) = -2. Let l(x) = 2*t(x) - 2*w(x). Let k(h) = 7 - 3 - 4 - 12*h. Calculate k(l(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, y: 3, l: 1, g: 2}. What is prob of picking 1 b and 1 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u = 0. Let h(f) = 11*f**2 + 10*f**2 + 2 + u*f + f. Let p be h(2). Calculate the greatest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, -2\/3, 12, 4, 4239?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.388063 nanograms?\nAnswer: 0.008388063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2\/7 (b) -0.8 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - -5.4. Let b = -5.7 + l. Let z = -2 + 7. What is the closest to -1 in z, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100\/309 - -1\/103. What is p in w*p**2 + 1\/3*p**3 + 0 - 2\/3*p = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (115365\/20)\/(-3) - 0. Let k = b - -1908. Find the common denominator of 39\/10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aata when four letters picked without replacement from {h: 5, t: 4, a: 6}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 11 - 24 + 57*v**2.\nAnswer: 57*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 - 16*u\/7 - 64\/7.\nAnswer: -(u + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 30 = 3*k. Let w be (-5 - -2 - -1)*(-5)\/5. What is the third derivative of j**3 + 2*j**w - k*j**3 + 4*j**4 + 8*j**3 wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -285 + 288. Suppose -3*z = 3*t - 27, i*t - 9*z = -4*z + 3. Suppose 5*x - 2 = 8. Solve 0*n = -2*g - x*n - t, -g + 3*n + 1 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/(-6))\/(92\/230*(-100)\/(-48)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458586.\nAnswer: 2, 729293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + -8 + 7 - 131.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -8431b3?\nAnswer: 8431b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 27 - -6 - (-6 - (6 - 8)) - -26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 4*f, 2*a + 2*f = -4. Suppose 3*o + 11 = -5*b, -5*b + b = o + 13. Put a, 0, b in decreasing order.\nAnswer: 0, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -7)*(62 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5567 and 708723636.\nAnswer: 5567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and 10.\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/9 - 2*f**3\/9 + 14*f + 25. Let s(a) be the first derivative of d(a). Find v such that s(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 659, 1316, 1973?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 46?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -3\/5, 1569, 0.2 in increasing order.\nAnswer: -3\/2, -3\/5, 0.2, 1569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 8, l: 4}. Give prob of picking 2 m and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 691 - 665. Calculate the greatest common divisor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1473589 = -1472994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 340 - 336. Sort 35, n, -1 in descending order.\nAnswer: 35, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * 1764.\nAnswer: 2998.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124392*-4.\nAnswer: 497568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 3*u**5\/5 - u**4\/2 + 24*u + 25. What is the first derivative of w(s) wrt s?\nAnswer: 12*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 329232253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.08 - -12.28. Which is the third biggest value? (a) -3 (b) 1\/37 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5 - -2) + 4 + 15 + (-275 - -216).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173474003 rounded to three dps?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1218\/209 or -6?\nAnswer: -1218\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (5*-1*sqrt(7))**2 - (sqrt(140)\/sqrt(5) - sqrt(28))**2.\nAnswer: sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.3777 + 0.2537. Let n = -0.076 + p. Round n to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8060 and 1524835.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2772 * -751\nAnswer: 2081772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/9 - 70*z\/9 = 0. What is z?\nAnswer: -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let m = -143 + 142. Let q be (-1 + m)\/(8*(-3)\/(-6)). Which is the closest to v? (a) q (b) -5\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/4 + 47747*t\/4 + 23873\/2 = 0.\nAnswer: -47746, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44808 divided by -6.\nAnswer: -7468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (51 + -41 + -2 + -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 = 16*d - 779. Solve q + d = -0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1657.895 - 5\nAnswer: -1662.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 13. Let r = s + -4. Let u = r - -57. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*16\/36*-3. Let l be 22\/(-10) + 4 + -2. Which is the second smallest value? (a) l (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -q + 5*p, -15*p + 11*p = q - 29 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111 (base 2) in base 8?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*w + 17. Let b be w\/39 - 2\/(-13). Suppose b = 2*n - 6*n + 28. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 13*j - 5*j**2 + 0*j**2. Let t(p) = -2*p**2 - 1010*p + 262*p + 262*p + 262*p + 219*p. What is 11*t(q) - 4*z(q)?\nAnswer: -2*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 112778+1.3334\nAnswer: 112779.3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 11) in base 6?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*5*5\/25. What is the closest to g in 0.08, -5, -0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) - (0 + sqrt(245) + 3)))**2 - (0 + sqrt(245) + 2).\nAnswer: 35*sqrt(5) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -54*t**2. Let a(v) = v**2 - 20*v + 57. Let x be a(17). Let f(d) = -3*d + 6*d + x*d - 11*d. What is f(g(i))?\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -y - 2, 7*f + 4*y = 4*f + 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*d + 2*k + 476, 0 = -d + k + 117. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 562, -94 in descending order.\nAnswer: 562, 1\/4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x + 26. Let q(i) = -9*i - 11. Let v be q(x). Factor 3*b**3 + 16*b**2 - 8*b**3 - 17*b**2 - 3*b**5 - v*b**4.\nAnswer: -b**2*(b + 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4019 - 1962. Is j a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2 - 13. Let z = o + -7. Let d(s) = s**2 - 6*s - 2. Is d(z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 361*y + 20. Suppose -4*g + 0*b - b = -18, -2*g - 4*b = -16. Let m be r(g). Suppose -11*u = -19*u + m. Is 36 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484914974 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4.9 (b) 0.4 (c) 12\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 5) to base 16\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbolbljko. What is prob of picking 2 o and 2 b?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16398\/2145 - (-4)\/(-10). Let d = p - 78\/11. Let h(u) = -u**3 + 18*u**2 + 18*u + 20. Let k be h(19). Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -17*w + 206. Let k be v(11). Let a(t) = k*t - 40*t + 21*t - 4*t**2. Let b(p) = 2*p - 2*p - 13*p**2. Give a(b(z)).\nAnswer: -676*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:21 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11 = 4*o - 31, -40 = -5*o + 5*n. Suppose f + 1 = o. Suppose f*q = -0*q + 150. Calculate the highest common divisor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 4*n**2 + 180. Let h(v) = -v**2 - 20*v. Let z be h(0). Let y be x(z). Let q = 11 - -4. What is the greatest common divisor of q and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*o + 60 = 0, -12 = -5*o - 37. Suppose 16*g - i = 11*g. What is the highest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146250 and 856908.\nAnswer: 535567500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -4 + sqrt(162) - sqrt(162))**2 + 3)*-3 + ((sqrt(162) + 0)*1 + sqrt(162))**2 + ((2*sqrt(162))**2*3 - sqrt(162)).\nAnswer: 207*sqrt(2) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/74 (b) 0.1 (c) 0 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3068.3 take away -9.5264?\nAnswer: -3058.7736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:47 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 157074984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5385.\nAnswer: 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -997.9567 - -998. Let d = u - 0.4973. Let k = -0.046 + d. Put k, 0.15, 5 in descending order.\nAnswer: 5, 0.15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9440 divided by 160.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2482, 9396, 20728, 36478, 56646, 81232, 110236?\nAnswer: 143658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 436*-0.02\nAnswer: -8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qggjgttjjtvvq. Give prob of picking 2 g, 1 v, and 1 q.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 49 = -9. Suppose 5*o - l = -2*l + 33, -3*o + w*l + 29 = 0. Is o less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 76. Which is the biggest value? (a) y (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -15*h**7\/7 + 22*h**3\/3 - 1. Find the third derivative of m(v) wrt v.\nAnswer: -1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.7? (a) -0.5 (b) 4 (c) -22 (d) -0.3 (e) 0.2 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -310 + -23?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g**2 + 16*g - 33. What is the remainder when z(-8) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most -1\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17525 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/24 + (-2889005)\/(-30) + 0. What is m rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 1, h: 2, e: 2, w: 1, v: 2}. What is prob of picking 1 e and 1 g?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 87 - 71. Let l be 84 + w\/((-4)\/(-3)). Suppose 9 = -s + l. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5) + (-115)\/50. Which is the biggest value? (a) 6\/5 (b) p (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143023459*y**3 + 127*y**2 + 251*y - 285 wrt y?\nAnswer: 858140754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.3. What is the third smallest value in 12, j, -0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -653, -4, -2, 2, -43 in ascending order.\nAnswer: -653, -43, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -41. Suppose -r*n = 9, -n = 2*d - d. Solve 3*c = d - 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*d - 34762 = -174*d for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/(8804\/2232*((-399)\/(-28))\/(-19)).\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00361435547 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.058 + -0.0646. Round z to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20885 is divided by 6959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51726 and 0.248.\nAnswer: 51726.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 1 + (-3 - 2 + 3)*(-2 + 5 - 4) - 2 + 0 - 5)*(-2*m - 4 + 4 + (-m - m + m)*(-2 + 5 - 5) + 6*m - m - 3*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -19*k**3 + 3*k + 2. Let g(t) = t**3 + 7*t**2 + 4*t - 13. Let w be g(-6). Let a be s(w). What is the greatest common factor of a and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -886\/5 (c) -0.07 (d) -4\/13 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 17*c = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = i + 3*i. Let y = -215 + 314. Let o = 893\/9 - y. Which is the second smallest value? (a) i (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-63)*1 - 1302\/(-27). Suppose 172 = 2*u + 3*u - 4*n, -4*n = 12. What is the greatest common divisor of b and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -5*q + 3*r, -3*q - 4*r + 164 = q. Let o(n) = -n + 46. Let b be o(q). Factor -22\/3*f + 2\/3*f**4 - 2\/3*f**3 - 6*f**b - 8\/3.\nAnswer: 2*(f - 4)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**7\/420 + v**6\/80 + v**5\/40 + v**4\/48 - 26*v**2. Determine j, given that u(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635 - 717 = -8*n. Find the third derivative of -n*t + t**4 - t**4 + 169*t - 7*t**2 - 138*t**5 wrt t.\nAnswer: -8280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19628071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28651828 and 10170.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*k + 54 = 71*k. Let r be (k\/(54\/119280))\/((-2)\/10000). Round r to the nearest one million.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 - 2)*(2 - 2 + 2*g) + 9*g - 15*g - 63*g)*(7 - 10 + 14) to the form n*g + i and give n.\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5\/10 - 5\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 11. Let r be v(-8). Let i = 2 + r. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 + -11)\/(4*(-2)\/(-8)). Suppose 0 = 3*g + d - 710, a*g - 685 = d + 3*d. List the prime factors of g.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -4*f**3\/3 - f**2 - 4. Let p(n) = 4*n**2 + 2*n. Let c(m) = 6*p(m) + 7*t(m). What is the second derivative of c(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14099480 to the nearest ten thousand.\nAnswer: -14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -596\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*(2\/(-6) - -1). Let k(s) = -s**3 + 7*s**2 - 5*s + 14. Let l be k(6). Let t = l - c. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + 6*g**5 + g**5 + 124*g**2 + 10*g**4 wrt g?\nAnswer: 420*g**2 + 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-3)\/90*-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442112002.\nAnswer: 2, 311, 710791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -2. Let o = i - -7. Suppose -5*q + 23 = 4*s, 14 = -q + 5*q + s. Calculate the greatest common factor of o and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/20 - (-15)\/4) + -249. What is the common denominator of -89\/34 and (-10)\/(-12)*1813\/m?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 253\/(-55) + 2\/(-5). Let p = 0.9 - -0.1. Let g = 1 + p. Which is the third biggest value? (a) g (b) 2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, v: 1, p: 1, l: 1, z: 2}. What is prob of picking 1 l and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9274718202984 and -0.1.\nAnswer: -9274718202984.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3402*k**5 + 8 - 39*k**3 + 6*k**3 + k**2 - 3404*k**5 wrt k.\nAnswer: -120*k**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Suppose -16 = l*o - 4*o. Solve 8*u - o*u - u**2 + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q - 6. Suppose 6*y + 69 = 3*h + y, q*h - 5*y - 46 = 0. Calculate the greatest common divisor of h and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6125*p - 3083*p - 3082*p.\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.3, 5, -5\/8, -80?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9.7. Which is the nearest to 0? (a) m (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uttt when four letters picked without replacement from ppstsppppuuptpput?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2052*y**2 + 561280 - 561280 - y as z*y**2 + v*y + i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*s + 2337 + 8779 = 0 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18094?\nAnswer: 2, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 2*d - 36*d**2 - 3*d**3 + 30*d + 8*d.\nAnswer: -4*d*(d - 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83\/168 - -5\/24. Let w = 0.39 + -2.09. Let r = w + -0.3. What is the second smallest value in i, r, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6*g + g + 7*g)*(0 + 4 - 5)*(94*g - 13*g**3 - 94*g) in the form d*g + s*g**2 + z*g**4 + a*g**3 + w and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81756918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2\/(-4)*-1). Suppose -b - 602 = -j*m, -4*b + 3*m - 1084 = 1319. What is b rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 624, 950, 1272, 1590, 1904?\nAnswer: 2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285221.\nAnswer: 285221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 (base 10) in base 6?\nAnswer: -2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 20. What is l(-16)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4240481336.\nAnswer: 2, 7, 13, 5824837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-5))\/(8\/(-10)). Which is the smallest value? (a) k (b) 4 (c) -2\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 26*o - 3. Let v be z(3). Let q be 8855\/(-140) + (-2)\/(-16)*2. Let x = q + 93. Calculate the greatest common factor of v and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = -2*f + 13, -2*f = -3*i - 20. Let j be 0*((-453)\/302 + (7\/4)\/1). What is the nearest to 0 in 1\/4, f, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -33, 75, 1 in ascending order.\nAnswer: -33, -7, -4, 1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -433 + 290. Let k = x + 144. Put -3, 0, k in decreasing order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/15 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 7*h**2 + h**2)*(2*h - 2*h + h + (14 - 14 + h)*(4 - 5 - 1)).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275554\/5 not equal to 255111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 n when three letters picked without replacement from {e: 1, n: 5, o: 3, w: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1890)\/(-5320) + 1\/(-4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -137. Suppose 2*v = -3*v + 4*l + n, -5*l - 10 = 0. Find the second derivative of -v*a**4 + 7*a + 10*a + 5*a**4 wrt a.\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/20 + o**4\/3 - o**3\/2 + 20*o**2 - 32*o. Let y be t(5). Factor -4\/7*b**3 - 8\/7*b + 12\/7*b**2 + y.\nAnswer: -4*b*(b - 2)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 15. Suppose 25*l - 350 = 73*l + 22*l. Sort l, j, 0, 4 in decreasing order.\nAnswer: 4, 0, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + 198. Calculate the highest common factor of 100 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2532763297 to the nearest integer?\nAnswer: 50327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -6940 (c) -11 (d) 5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/2 - ((-170)\/(-20) - 8). Solve 4 - 24 = s*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 30. Let s(y) = y**2 - 3*y + 1. What is the remainder when s(-5) is divided by l(16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8471*j - 3468. Is u(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 3, t: 6, n: 8}. What is prob of sequence tx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 158. Let s = 6 + b. List the prime factors of s.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.299 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -321248, 0.\nAnswer: -321248, 0, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1098 or -0.22?\nAnswer: -1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 2. Suppose -2*h + 6*h = 12. Calculate the lowest common multiple of (-28)\/(-20)*5\/1 and s(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1764 and 265041.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 19. Let t be 84\/(-12) + -1*1. Let s be c(t). Suppose 200 - 85 = s*i. Solve r - 3*p = -11, -4*p + i = -3*r - 0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53559 divided by 33.\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(-1*sqrt(13) + -4)*-5.\nAnswer: -300 - 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 8594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 5d26?\nAnswer: -5d1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -340610040 divided by 10?\nAnswer: -34061004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 2 - (3323 - 3287)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1424 divide 944716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 21*n**2\/2 + 17. Let p(h) = -2*h. Give p(a(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:51 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2833 times 0.024\nAnswer: 67.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + v - 39 = -m, 2*m = -5*v + 27. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625312374?\nAnswer: 2, 277, 4738831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 414265 + -2?\nAnswer: 414263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2)*(36\/(-8) - -3). Let q(r) be the first derivative of 0*r + 0*r**3 + 6 + 3\/4*r**4 + m*r**6 + 0*r**2 + 12\/5*r**5. Determine g, given that q(g) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4775, 4717, 4659?\nAnswer: 4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1293 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.103*37366\nAnswer: 3848.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - (-1615)\/204)\/((-2)\/((-48)\/9)). Put 0.026, -2\/17, j in ascending order.\nAnswer: j, -2\/17, 0.026","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26751226823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*b - 4 = 0, -4*b + 1 = -3. Let x be (-34)\/(-9) - (-2)\/9. Let j = o - x. Is j greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 22. Let c = 10 - i. What is the lowest common multiple of c and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503115 is divided by 1503096?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 197, 399, 603, 809, 1017?\n\"Answer: w**2 + 199*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-14 + -4 + 0. Let v be ((-22)\/(-33))\/((-4)\/x). Suppose -2*y = v*y - 185. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**5\/60 + h**4\/24 - 5*h**2. Determine z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 70385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 11*m**2 + 9*m - 4. Suppose -11*g - 4*c = -12*g + 1, 0 = -2*g + c + 23. What are the prime factors of a(g)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/8 and ((-3)\/(-4) - 1)\/(20\/(-166))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and 40\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 884 divide 5352620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 40. Let p be (-75)\/(-27) + d\/54. What is the first derivative of -u**4 - 3 - p*u**4 - 2 - 3 wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 7. Let o(i) = -i**3 + 13*i**2 + i - 11. Let h be o(j). Let d(v) = 12*v - 4. What is the remainder when 59 is divided by d(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Let v be ((-9)\/(-2))\/(15\/80). Suppose -2*u + q + v = 0. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63666116?\nAnswer: 2, 23, 127, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-330)\/858*(-41)\/(-5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p + 6. Let y(l) = 8*l - 6. Let i(u) = -4*f(u) - 3*y(u). Determine i(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4058 + 16246. Suppose p = 4*w + b, 5*p - 3*w = -2*w + 60940. Suppose -4*v + 48788 = 2*n + 2*n, -p = -v - 4*n. What is v rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 25549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11219\/30 - -374. Let g(u) be the third derivative of -o*u**6 + 7\/15*u**5 - 32\/3*u**3 - 4\/3*u**4 + 0 + 2*u**2 + 0*u. Determine d, given that g(d) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207821656.\nAnswer: 2, 7, 29, 73, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0674799 - -35.\nAnswer: 34.9325201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 7076841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19677, 36816, 53955, 71094?\nAnswer: 88233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {s: 1, o: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 3*u = -9*a - 604, -4*u = a - 138. Calculate the remainder when a is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -1, 0.5, 4, 3, -21 in descending order.\nAnswer: 4, 3, 0.5, -1, -21, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d**2 + 4497*d + 9376. What is n(348)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.6324797 rounded to three dps?\nAnswer: -1.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2657732 and 1?\nAnswer: 2.2657732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 999979606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/33 and 127\/788514.\nAnswer: 8673654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkd when three letters picked without replacement from {z: 1, j: 2, m: 6, c: 1, k: 3, d: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/4 - b**2\/2 + b - 1. Let t be a(1). What is the first derivative of -3 + l - 2*l + t wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 24. What is the units digit of (-80)\/(-14) + 1\/(42\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2934*r - 68. What are the prime factors of u(1)?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4052.873t to nanograms.\nAnswer: 4052873000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-400)\/(45353\/68025 - (-22)\/(-33)). What is s rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 8\/27*s**4 + 2*s**2 - 1\/540*s**5 + 99 + 0*s + 0*s**3. Factor p(x).\nAnswer: -x*(x - 64)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 716\/367 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (1*(-1 - -3) - (-840)\/(-102)). What is the closest to -4 in 0.3, 0.1, 2, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 - 6. Let g(j) = 13*j**2 + 13. What is 9*c(t) + 4*g(t)?\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/141279 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2*1)\/(6\/140*-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -9. Let l = -16.2 + x. Let n = -0.2 - l. Which is the third smallest value? (a) 5 (b) n (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:42 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (198\/(-45))\/11 + 34\/10. Let c be (t\/4)\/((-1)\/(-8)). Let x be c\/(-9) + 25\/(-3). Let k(i) = i**3 + 10*i**2 + 9*i + 8. Determine k(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -477.3 and -2.\nAnswer: -479.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-10))\/(10\/(-25)). Let m(j) = j - z*j + j. Let p(r) = -3*r**2. Give p(m(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123.1 + -133. Let k = d + -3.1. Let t = -13.3 - k. Put t, 0, -3 in ascending order.\nAnswer: -3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s\/s**(2\/29)*s))\/(s\/(s\/s**(-1\/11)))*(s**(-12\/7))**44 assuming s is positive.\nAnswer: s**(-170308\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 13, -2\/11, 4\/3, 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 13*q. Let p(n) = -2*n**2 + 3*n. Let f be ((-2)\/4)\/(11\/132). Let t(k) = f*u(k) + 26*p(k). Let g(s) = -32*s. Calculate g(t(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 - 3*g**2 + 2*g + 2. Let z be j(2). What is the units digit of 4\/z - (-284)\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 8*o + 12. Let s be g(4). Let q = s - -32. Let y = q - 25. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*v = -k + 36, k = 5*v - 2. Let m = k + -4. Let j = m + 6. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(425) + -3)*-4.\nAnswer: -20*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1122202202201 (base 3) to base 5\nAnswer: 211144231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 1006442 = 275052. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01140925352 to five decimal places.\nAnswer: 0.01141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1350 and 61\/224325?\nAnswer: 1345950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0*x**3 - 2*x**2 - 3 - 3*x**3 + 5. Let n be j(-2). Suppose 3*s = -0*s + n. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 + 3056*m\/3 - 24320\/3 = 0.\nAnswer: 8, 1520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14105210 + -6275210. What is w rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 + -84. Let d be q\/11 + (-10)\/55. Suppose 10 = g - d. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18 + -65)\/(1\/(-59)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3*c. Let f be x(3). Suppose f = k + 6 - 106. Round k to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/17 + 96484*y\/17 - 14420518\/17 = 0 for y.\nAnswer: -48391, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 - -1a577?\nAnswer: 1a5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 23. Determine q(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v - 4*w - 8 = 0, -w + 13 = 3*v. What is the least common multiple of v and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -3, -92, 0, 4 in increasing order.\nAnswer: -329, -92, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/15 - -83\/60. Let i be (-15662)\/28 - (-33)\/(-231) - -1. Let u = -559 - i. Which is the closest to u? (a) 4 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.17 and 0.1399.\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -54850670 divided by 10?\nAnswer: -5485067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 1953390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 7*g**2 + 3*g**2 - 3*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-16\/5)*(c\/(c\/(c\/c**(1\/22))))\/c)**(4\/5))**(-2\/7) assuming c is positive.\nAnswer: c**(-1828\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 13. Suppose -3*v + 6 = -6, -v + 30 = 2*q. Let j be u(q). Suppose y = 4*w + 6, 2*y - 4*y - 5*w - 1 = j. Solve y*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 15. Suppose -23 = -3*t + 5*l - h, -t = 3*l - 1. Let p be 5 + -11 + (-86)\/(-14). What is the second smallest value in t, -2, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 937 - 933. Suppose a - c = 4*i - 3*i, 4*a + i = 31. What is the lowest common multiple of (-1 + 8\/6)*6 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 4. Let q be y(-12). Let k(a) = -2*a - 9*a + q*a. Let g(u) = 2*u**2 + 2 - 2. Determine g(k(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.14 - 0.14. What is the second smallest value in -1\/2, x, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 125 = 0. Let g be ((-162)\/45)\/((-4)\/10). Suppose -g = 2*z - 27. Calculate the remainder when c is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 + 181*z**3 + 105*z**2 - 371*z - 4389.\nAnswer: -24*z**2 + 1086*z + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 + t - 7. Let h be z(8). What is the units digit of ((-1)\/(-2))\/(h\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 10) to base 16.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.426 - -0.38025. Let g = y + 0.048. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:18 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 42*m**2 - 200*m - 626. Determine g(33).\nAnswer: 2575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 51 = 3*z, -18*z + 16*z - 56 = -4*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 + d - 5. Let s(i) = 7*i**2 - 5. Let h(c) = 4*s(c) - 3*z(c). Let w be h(-1). What is the greatest common factor of 545 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.345 - -0.345. Let h = -22 + 67\/3. Let k = 0.1751 - -0.2249. Which is the closest to 2? (a) k (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 2}. Give prob of picking 1 g and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 148. Calculate r(22).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 13) to base 5\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f**2 + 3565*f\/3 + 962\/3 = 0. Calculate f.\nAnswer: -74, -13\/48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16592 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + n + 105 = 4*n, -2*n = -o + 20. What is the lowest common multiple of o and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20908557*b**3 + 9810023*b**2 - 2*b?\nAnswer: 125451342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 14, -2\/7, -0.5, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117645.\nAnswer: 3, 5, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 105\/25 + (-2)\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from dmmlcmmmcmcmclm?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*a**2*w**2 - 4*a**2 - a*w**3 - 42*w**3 - 36*w wrt a?\nAnswer: 70*a*w**2 - 8*a - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80? (a) 0 (b) 0.3 (c) 163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 536 + 0?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -84, -216, -394, -618, -888, -1204?\n\"Answer: -23*t**2 - 63*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 596 - 266. What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46029277 to the power of 1\/2, to the nearest integer?\nAnswer: 6784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467228, 467233, 467238, 467243?\nAnswer: 467248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-4) + (-1826)\/88. Let n(z) = 5*z + 105. What is n(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l - 2. Let r(s) = -s**3 + 14*s**2 - 2. Let m be r(14). Which is the nearest to l? (a) m (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59746, 59728, 59710, 59692, 59674?\n\"Answer: -18*r + 59764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {t: 2, x: 7, m: 1, u: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2189, 1793, 0.4, -3, 2.\nAnswer: -2189, -3, -0.3, 0.4, 2, 1793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:18 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:29 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 3:27 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/3 + -1 - -2. Suppose k + 11 = 10. Which is greater: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11b34ab (base 12) to base 13\nAnswer: 945b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/((60\/104)\/(-15)). Let x(n) = -n**3 + 16*n**2 + 6*n - 22. Is x(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 8*u - 4. Let j = 21 - 21. Suppose -2*a + 20 - 4 = j. Give i(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347917 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffjf when four letters picked without replacement from {j: 2, f: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 14*d - 30. Calculate z(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 298.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 21747.792179281.\nAnswer: -21743.792179281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -285204 minus -1.95093971?\nAnswer: -285202.04906029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -116 - 1?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 223166329 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let z(l) = -19 - l - 3 + 11*l + 104 + 2. Determine k(z(h)).\nAnswer: 100*h**2 + 1680*h + 7056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 320, 314, 304, 290, 272, 250?\n\"Answer: -2*z**2 + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p - 3*x - 5, p - 42 = -3*x. What are the prime factors of p - (-5 - 2\/(-1))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346.3776 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 1, g: 4, t: 1, e: 2}. Give prob of sequence erts.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2944*t - 306191. Determine r(104).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*10\/(-5)*(-3)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 37, -0.01, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 35*z. Let n(s) = 8*s. Let w(i) = -115*i + 5. Let j(m) = -15*n(m) - w(m). Calculate c(j(v)).\nAnswer: -175*v - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -20*o**2 + 4*o + 3. Let p be k(-2). Let z = -41 - p. Let t = 221\/5 - z. Which is the closest to -0.1? (a) -5 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b + 10*b + 24*b + 32*b - 131*b.\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-48)\/(-24)*(8 - (-36)\/2).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 27. Let h be t - (-2 - -1) - 3. Let a be (-10)\/12 - (h - (-100)\/15). Which is bigger: 13 or a?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2719406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1, -0.1, 0.1, -0.04541?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 19*d**2 + 126*d + 1204. What is p(-16)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 953 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133 (base 7) to base 16.\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 17. What is the units digit of h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 + 0*y - 5*y + 5*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101727591*t**2 + t + 71504506?\nAnswer: -203455182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 71.3. Let l = 394 + -391.01. Let y = 0.01 + l. Which is the biggest value? (a) s (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3852 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.471 to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100805 + -38?\nAnswer: -100843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -13*u - 43 - 64, 4*z = 5*z - 3*u - 32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Let r = t - 2.9. Let q be (-4)\/(-10) + 16\/10. What is the nearest to r in q, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -151, -502, -1177, -2284, -3931, -6226, -9277?\n\"Answer: -18*o**3 - 9*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1415 - 592 = -8823. What is the lowest common multiple of d and 2840?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*n**3 + 15 - 3*n + 2*n + 17*n**3 - 7*n + 10*n.\nAnswer: 106*n**3 + 2*n + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3628.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p + 3. Let h be t(0). Let n be h\/(-1) - (-2 - 1). Let v = n - 1. Which is the closest to 0? (a) v (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 12 = -3*x. Let i = x + 7. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let c = -36504 + 256237\/7. Let o = -101 + c. Let d be (0 - 2\/(-10))*-3. Which is greater: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -98776?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/7 - 24036*j**2\/7 - 84189816*j\/7 - 68657522032\/7 = 0.\nAnswer: -5426, -1166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, v: 2, t: 1, i: 2, m: 1}. Give prob of sequence em.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33070 - 860 = -1131*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26797729.4 to the nearest 1000.\nAnswer: -26798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 18053 (c) -0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64985 divided by -3.\nAnswer: -64985\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8614 - 8639. What is the closest to -1\/2 in 3\/7, -0.1, 5, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 9:36 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9872120 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14279811 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5452186727 - 178.5452180087. Let u = g - -174. What is u rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1779793, 1779803, 1779827, 1779871, 1779941, 1780043, 1780183, 1780367?\n\"Answer: y**3 + y**2 + 1779791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b - 2192. Let a(d) = 6*d**2. What is r(a(n))?\nAnswer: -48*n**2 - 2192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -32, -59, -102, -167, -260, -387?\n\"Answer: -s**3 + s**2 - 13*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 49993891?\nAnswer: -24996945.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:13 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 2919.\nAnswer: 4378.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from cckcckccccccccccckcc.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*a + 141. Let y = -19 - -35. Let w = y + -9. Calculate the greatest common divisor of a and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 3. Let n be f(2). Suppose -3 = 2*t + 3*x, 4*x = -x + n. Which is the closest to 1\/3? (a) -5 (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -245*f**3*n + 3136*f**3 - 59*f*n**2 - 8*f with respect to n.\nAnswer: -245*f**3 - 118*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4521aa - -c6?\nAnswer: 4522a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*z**3 + 24243*z + 23676*z + 23676*z - 71595*z.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*v**2*z**2 + 2*j**3 - 3665*j**2*v**2*z**2 - 22*j**2*v*z**2 + 54*j**2*v*z wrt v?\nAnswer: 2*j**3*z**2 - 7330*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*7\/42*4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 510437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -57539, 3 in descending order.\nAnswer: 3, -1, -57539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261 + 267 + 2*b**2 - 3*b**2 + 0*b**2 - 6*b**2 + 4*b**2 + (-3 + 3 + 2*b)*(-2*b - 3*b + 3*b) to m*b**2 + y + x*b and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 58. Suppose 4*r = r - 2*c + u, -2*r + 2*c + 10 = 0. Solve -5*i + 3*i = -r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/165 + 31\/165. Let x = -0.18 - 0. Let o = 5.18 + x. Which is the closest to k? (a) -1 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*v - 55 = 245*v. Suppose 2114517 + 642478 = v*z + 5*i, 551397 = z + 3*i. What is z rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137.15 or -1\/6?\nAnswer: -137.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00197005 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6436*(38\/(-456))\/(2\/6).\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5809 + 5816. Let b(l) = 37*l - 15. Let t be b(4). Calculate the greatest common divisor of w and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (205 - 136) + -11 - 1*5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1326*o**3 + 4 + 786*o**3 + 8 - 12 - 2113*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282905275 is divided by 210?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 22*p**2 - 2*p. Is 4 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m. Suppose -b + 13 = -5*u, 3*b - 3*u - 15 + 0 = m. What is the units digit of 23\/4 + b\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 111 - 35)*(2 + 1 - 1)*(0 + 0 - 3)*(-2*z**2 + 2*z**2 + z**2) - z + 4*z**2 + z.\nAnswer: 622*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2442\/444 - (-304)\/(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -844*c**3 + 173*c**3 - 23*c**2 - 4*c - 548*c**3 - 7*c wrt c.\nAnswer: -7314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 11*c + 2. Let r(u) = -u**2 - 6*u + 1. Suppose 7 + 2 = -2*p - 3*a, -4*a = 20. What is p*j(s) - 5*r(s)?\nAnswer: -s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23281081693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*d - 3*d. Suppose 3*j = -d + 15. Suppose -2*g = g - 72. What is the greatest common factor of j and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -10) + 11 + 6 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + -0.08. Let z = 0.18 - w. Let g = z - -0.4. Which is the nearest to 1? (a) 3 (b) g (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 1, k: 5, t: 1, h: 5, n: 2}. Give prob of picking 2 v and 1 u.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:51 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 + 95 = -6*v. Let t = 57 + v. Let q(g) = g + 9. Let r be q(-5). Is r < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/708 and 133\/192.\nAnswer: 11328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -586*b*t + 239*b - 1 wrt t?\nAnswer: -586*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.370647 years?\nAnswer: 0.01370647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 188*w - 13 - 185*w)*(2*w - w - 3*w)*(w - 2*w - 2*w).\nAnswer: 18*w**3 - 66*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1013, -4 in descending order.\nAnswer: 2\/5, -4, -1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2.46, 0.3 in increasing order.\nAnswer: -4, 0.3, 2.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.80848 to 1 decimal place.\nAnswer: 22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -110*f + 2. Is 35 a factor of k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -2)**2 - sqrt(200) - (-2 + sqrt(32))) + 1 + ((-2*sqrt(14))\/sqrt(7) - (-2*sqrt(16))\/sqrt(8))**2.\nAnswer: -54*sqrt(2) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53ee + 4?\nAnswer: -53ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*y + 556 - 566 = 0, 0 = 4*s - 3*y - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 5. Let k(m) = -3*m**2 - 8*m - 4. Let i(t) = -4*t**2 - 9*t - 3. Let y(v) = g*i(v) + 3*k(v). Find the second derivative of y(p) wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522156*o = f + 522158*o + 10, -12 = 14*f - 4*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 146723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 5, 248, -1\/7, 7\/3?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/(-18) - -7)*(-126)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -345?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*k - 28 = -k, 2 = k. Let t = 16 - f. Solve -p = -0*p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.3 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**3*p))**26\/((p**(-23)\/p)\/p**(1\/35)))**45 assuming p is positive.\nAnswer: p**(-17001\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1045 - 0.2045. Let g be 2 - 14\/3 - -2. Which is the second biggest value? (a) g (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 8)*(-1)\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - 4) + (5 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 457, 3797, 12853, 30481, 59537, 102877, 163357?\n\"Answer: 476*i**3 + 2*i**2 + 2*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 at least as big as 524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25306.84 - 25307. What is the third smallest value in 2, 0.5, -11, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/384 and -83\/15.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13539558 to the nearest integer?\nAnswer: 3680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(121)\/(sqrt(11)*-3)) + 2.\nAnswer: -3*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.86?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 + 27675*b**4 - 110664*b**3 + 110652*b**2 = 0?\nAnswer: 0, 2, 9221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011111100110 (base 2) in base 6?\nAnswer: -530554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -89*x**3 - 10*x**2 - 45*x - 545. Is z(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 30*i - 25. Let p be w(-27). Calculate the highest common divisor of 448 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211202 (base 8) to base 12\nAnswer: -34802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*r**4 - 60*m*r**3 - 4725*m*r**2 - m*r*w - r**4 + 16*r**3*w - 2*r*w wrt r.\nAnswer: -48*m*r - 360*m - 24*r + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**3 + 4*t**2 + 10*t + 38. Let x(k) = 15*k**3 - 9*k**2 - 21*k - 77. Let y(s) = -13*p(s) - 6*x(s). Is y(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101701*i**2 + 50846*i**2 + 50856*i**2 + 5*i + 42*i - i + 29*i.\nAnswer: i**2 + 75*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 7*m + 450. Let k be i(25). Solve k = 5*p + 3*g + 5, 20 = -p - 2*g + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/9 + 864824*g**2\/3 - 17297080*g + 259459200 = 0.\nAnswer: -1297296, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20940 + -19840. Calculate the greatest common factor of 475 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 11 = -7. What is the second derivative of 9*q + 20*q**i - 34*q**3 + 18*q wrt q?\nAnswer: -84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v - 4 - 10 + 7 + 7. Let i(y) = 9*y. Let r(p) = 4*p. Suppose -3*x + 15 + 6 = 0. Let k(c) = x*r(c) - 3*i(c). Calculate u(k(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*t - 3)*(262 + 90 + 5).\nAnswer: -714*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*f + 13, 4*h + 0*h + f = 0. Suppose -2*y + r + h = 0, 0 = 5*y - 3*r - 3. Suppose -4*u + y = -8. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 43*p**2 - 45*p + 475. Does 106 divide d(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -552.5 - -553. Which is the smallest value? (a) -2\/69 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 118*f - 2005. What is j(97)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*a + 177*a = 1123. Suppose 11*j - 4247 + a = 0. Does 43 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*p - 50, 2*m - 7*m + 93 = -2*p. Which is the second biggest value? (a) 2 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - q**2 + 0 + 8)*(-21*q**3 - 21*q**3 + q**3).\nAnswer: 41*q**5 - 205*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 - -128. Let r(t) = t**3 - t**2 + 2*t + 2. What is r(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5*f**2 + 180*a**3*f**3 - 11*a**2*f - 2*a*f**3 + 65*a wrt a.\nAnswer: -120*a**2*f**2 + 1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26022, 51988, 77884, 103674, 129322, 154792?\nAnswer: 180048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22260.48 litres?\nAnswer: 22260480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 5:53 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(((m\/(m*m\/((m\/m**(3\/4)*m*m)\/m)))\/m)\/m*m))*m\/m**(2\/5))\/(m\/(m\/(m*m\/((m*(m**(-5)*m)\/m)\/m)*m))*m**23) assuming m is positive.\nAnswer: m**(-603\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181462534?\nAnswer: 2, 7, 863, 97787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -6\/35, -2, 0.5, 780.8, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 44. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*i - 12 = 0, -3*h = 3*i + 7 + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 165737576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453124131 (base 6) to base 16.\nAnswer: 7e2e57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -178, -171, -164, -157, -150?\n\"Answer: 7*m - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0\/(5\/(-1)). Is (-117)\/(-6)*n\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*2)\/sqrt(9) + -1)**2 - sqrt(84)\/(sqrt(36)\/sqrt(3)*-6).\nAnswer: -23*sqrt(7)\/6 + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q - 7. Let c be z(6). Suppose -m + 22 = -3*v, 0 = -2*m - 2*v + c + 31. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10408, 9764, 9120?\n\"Answer: -644*n + 11052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (49 + -62)) + 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3 (c) -1\/39 (d) -2\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30550 and 183300?\nAnswer: 183300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 6*t**4\/5 + 76*t**3\/5 + 264*t**2\/5 + 336*t\/5 + 128\/5 = 0?\nAnswer: -8, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127376 and 4104?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 5 (c) -13 (d) -0.4 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1284624864.3 and 22.31.\nAnswer: -1284624841.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**7\/105 + n**5\/15 + 6*n**2. What is the third derivative of k(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**3\/6 - 5*r. Let w be k(0). Suppose w = -b - q - 0*q + 1, b - 3*q = 17. Let x(l) = -l - 3. Determine x(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(18)\/(1*sqrt(6))) + (2*sqrt(3) + -5)*1.\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3170, -6265, -9246, -12059, -14650?\nAnswer: -16965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 - 85*j**4 + 405*j**3 - 335*j**2 - 400*j + 420 = 0.\nAnswer: -21, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -1\/2*b**3 + 1\/120*b**6 + 1\/15*b**5 - 7\/24*b**4 + 2 + 21*b**2 + 0*b. Calculate k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -23 - (-1 + -2). Suppose -t + m = -102. Let f = -12 - -26. What is the greatest common factor of f and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.8135 meters in kilometers?\nAnswer: 0.7948135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 16. Let p = 1 + 0. What is the nearest to p in h, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 - 5*h - 3. Let d(b) = 1439*b - 7192. Let k be d(5). Let u(p) = -4*p**2 - 6*p - 3. Calculate k*l(a) - 2*u(a).\nAnswer: -4*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/105*14*(-170)\/153?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 5*c - 44000, 8798 = c - 3*p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 1. Let b be t(1). Let n(x) = -x**2 + 12*x - 14. Let q be n(10). Solve -6*g + b*g = 3*o + 9, 2*o = 3*g - q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 3, -1, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 30, 91, 206, 393, 670, 1055, 1566?\n\"Answer: 3*w**3 + 4*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.502 to 1 dp.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 28. Solve 2*l + z = 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*y + 986*y = -117 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by -16.\nAnswer: 253\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -38. Calculate the highest common divisor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 185. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325889177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -53*g**7\/210 - 22*g**3\/3 + 52*g**2. What is the derivative of f(c) wrt c?\nAnswer: -212*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 16*w**2 - 3 + 13*w**2 - 8*w**3 wrt w.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134579417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 x when four letters picked without replacement from {x: 5, t: 8}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -4 + 124\/(-21))*(41 + -13).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*h + 16*h + 84. Solve l + h*a = -11, 20 = -5*l - a + 35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/1*(-1)\/3. Let n(s) = -1 + s**3 + s - 2 - 1 - v*s + 5*s**2. Determine n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16334690?\nAnswer: 2, 5, 277, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.01766 milliseconds in minutes?\nAnswer: 0.001566961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 + 0 - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 8 + 8. Let k be 16\/(-12) + z\/(-3). Solve 4*o = 3*i + 7, k*o + 2*i - 3 + 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((320\/15)\/16)\/((((-11)\/66)\/1)\/(-4))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67592 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z - 150 - 32 - 38 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - v + 17 = 0, 0 = -153*v + 152*v + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1642592 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) - 560\/102 - (-425)\/85?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 218693 and 31976.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1209*b**5 + 594*b**5 + 310*b**5 + (4*b - 2*b + 0*b)*(-3*b**4 + 3*b**4 - b**4) + 6*b**5 - 8*b**5 + 3*b**5.\nAnswer: -306*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/80 and -27\/2128.\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -40. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2, -1 in ascending order.\nAnswer: -2, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 - 0.56. Let q = o - 0.6. Is -1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11756487, -11756551, -11756665, -11756835, -11757067, -11757367, -11757741?\n\"Answer: -o**3 - 19*o**2 - 11756467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22991, -45633, -68273, -90911, -113547, -136181, -158813?\n\"Answer: n**2 - 22645*n - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4945 - 4947. What is the closest to 0 in -0.5, -319, k, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*n - 7 = 0, 0 = -0*s + s + 3*n + 11. Calculate the smallest common multiple of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.85 and 18225?\nAnswer: -51941.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 16, 29, 58, 109, 188, 301, 454?\n\"Answer: o**3 - o**2 - o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 61 = 37 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3 = -8. Let y(a) = -13*a - i + 6 - 9*a - 4 + 21*a. What is y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 - 133140*g - 1198057. Determine l(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42308 - -42312. Which is the third smallest value? (a) 0.5 (b) 2\/3 (c) q (d) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from tqptppqqtpqq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 422.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34797 is divided by 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-2)*(-68)\/(-85). Let o = 68 - 68. Let i be -2 + (o + -1)*-13. Is k less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 68 = -3*m, m + 16*x - 21*x = 36. Let d be 74\/8 + (-4)\/16. Solve 5*n - m = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z - 14 + 11*z + 14. Let t(q) = -q**2 - 3*q - 1. What is 3*d(v) + t(v)?\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Suppose -y + 498 = -5*j, -5*y + 3*j + 2427 = -j. Let f(g) = -16*g**2 - y*g + 483*g. Give f(t(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -0*c. Suppose -4*n - 16 = 0, 0 = -f - n + 1 + c. Suppose 2*d + 65 = f*d. Calculate the highest common factor of d and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) -3\/7 (c) -2 (d) 1\/2 (e) -5 (f) 0.3 (g) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-3))\/(-12 + 722\/57)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 8*f**2 + 4. Let a be i(8). Suppose -2*d = -3*d - a, 5*s + 255 = -5*d. Let w = -32 - s. Solve r + 0*r + 4*v = 5, w = 3*r - 5*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -15*i - 2*b + 1468373, 4*i = -5*b + 5873513. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1985 - 11400.\nAnswer: -11401.1985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2615 = -2186.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(459) + sqrt(459)*-1)*-5)\/((sqrt(576)*-1)\/(sqrt(384)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 12 - 5 + 14*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104 and 53.1?\nAnswer: 5522.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 4:55 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*r + 17, -q + r + 5 - 2 = 0. Let d = 117 + q. Calculate the greatest common divisor of d and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a. Let u(f) = -f + 4*f - 55791*f**2 + 55808*f**2. Determine u(n(i)).\nAnswer: 425*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1027*k - 536. Let q(g) = 1028*g + 527. Let d(i) = -2*h(i) - 3*q(i). What is the derivative of d(s) wrt s?\nAnswer: -1030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/357 and 41\/3111.\nAnswer: 21777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83150?\nAnswer: 2, 5, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (9 + -9 + 5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.06 - 0.06. Let a(m) = m**3 + 6*m**2 + 3*m - 12. Let w be a(-5). Sort -0.06, w, h in ascending order.\nAnswer: w, -0.06, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/40*38*-2*10\/350?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 9*f = -26. Solve 2*z - z = -i + 3, i = -f*z + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 36*g - 7. What is the remainder when f(21) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u - 3. Let d(f) = -14*f + 7. Let w(b) = -12*b + 6. Let k(s) = -5*d(s) + 6*w(s). Let a(m) = 3*h(m) + 5*k(m). Let i(v) = v. Determine a(p) - 4*i(p).\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 304*j**2 - 1459*j - 44. Give r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = i + i - 14, 2*f - 3*i + 23 = 0. Let y be 66\/55*(172\/(-24) + 7). What is the nearest to y in -0.5, 2\/9, -5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -h - 5*r, 55 - 14 = -5*h - 4*r. Let n = 133.9 + -177. Let o = n - -43. Which is the second smallest value? (a) o (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 513968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19e + -21?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*p + 8 = 0, 5*p - 18 - 1 = -k. Suppose -k*v = v. Suppose -4*z = -5*w + 4 + 5, 2*w + z = 14. Solve x - 8 = -q - v*x, -w*q = x - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -92\/5 (c) 0 (d) 2 (e) -102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -145, -313, -591, -1015, -1621?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.575 - 31. What is b rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 105683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*(-3*(sqrt(48) + 0)*-2 - ((1*sqrt(432))\/sqrt(9) + -2)))**2 + -5).\nAnswer: -173356 - 11520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 9*l**2 - l - 12. Let a be t(-9). Let k be (-27626)\/2114*a\/9. Let b = -1\/906 - k. What is the common denominator of b and -79\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5144288 and 1216?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1189 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(0\/2 - 2). Let j(f) be the second derivative of -f**4\/12 + f**3\/6 + 5*f**2\/2 - 2*f. Let b be j(q). Solve b*r = 2 + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2276928 and 6432.\nAnswer: 2276928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 153\/68 + (-2)\/8. Find the second derivative of 30*t**3 - 2*t**2 - 18*t**3 + 3*t**x - t**3 + 56*t wrt t.\nAnswer: 66*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -116 + 5 + -5 + (-2 - (-38 + 25)) - -7?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)*(0 - 1). Let q(t) = -5*t**2 - 2*t - t - t**3 + 0 + 4. Let h be q(-4). Put h, c, 5 in descending order.\nAnswer: 5, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 2*r**2 + 7*r + 6. Let h be ((-12)\/10)\/(335\/(-50) - -7). Determine f(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 238*u - 110*u - 2 + 348*u + 4 - 359*u**3.\nAnswer: -359*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30832267631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7804634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1488 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxdlddnxxynydnlylnx. What is prob of picking 1 n, 1 x, and 1 y?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 1. Let m(i) = 10*i - 4. Let d(p) = -7*p + 3. Let s(o) = b*d(o) + 5*m(o). Give s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*r)\/r*r\/(r*r*r*r**(-4\/5)*r*r*r*r)*r**(-22)\/(r\/(r*r**(1\/9))) assuming r is positive.\nAnswer: r**(-1669\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2864, 5, -5, 59 in ascending order.\nAnswer: -5, -2, 5, 59, 2864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 + 2. Let y be h(-7). Calculate the remainder when (-70 + y + -5)\/(-3 + 2) is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2848 - -6359. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0 + 12 - 11*k - 4*k**2 - 1 - 11*k**2. Suppose -4*h - 13 - 31 = 0. Let c(j) = 8*j**2 + 6*j - 6. Give h*c(t) - 6*z(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686684 is divided by 1940?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2914684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 954 and 6?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 586707534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340 + -780. Let q = 285 + x. What is q rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10659409\/378 + -434783\/42. Let j = n + -17845. Find the common denominator of j and 34\/249.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 + 6*h - 1. Let r(s) = -3*s - 40. Let c be r(-14). Let a be n(c). Put a, -6, -1 in ascending order.\nAnswer: -6, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*h - 8*h + 502, -2*f = h - 121. Suppose -4*z + 2*y + h = -115, 0 = -z - 4*y + 47. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -234, 3, -23, -28, -4, -3, -18 in decreasing order.\nAnswer: 3, -3, -4, -18, -23, -28, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 8*f = 0. Let u = 112 + f. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -34 + 39 + (2 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -7 - 8 - 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*273\/(-104)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 322 and 86296?\nAnswer: 86296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*b - 3*b + 13, 4*b = 2*y + 14. Let o be 70\/(-5) + (-2 - (0 - 0)). Let h = o + 22. Solve 0 = c + h - y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -114.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 271353629 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 43 = 5*h + 3, 5*h - d - 24 = 0. Solve 4*s = 4*u + 1 - 9, -h*u = -3*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*m = 373*m - 21. Which is the smallest value? (a) -1266 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 + -103 + -1 + -6 + -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260292041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 10*k**2 - 5*k**2 + 3*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 7, 0.4, 26, 1\/35, -19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))\/(p*p\/p**(-1\/2)*p*p)*p*p*(p*(p*p**(-8)*p)\/p)\/p*p*(p*p\/(p*p**(-8)))\/p)\/(p**0*p**6*p*(p*p**6)\/p**(5\/4)) assuming p is positive.\nAnswer: p**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/1)\/((-3)\/6). Suppose 4*g - r = -4*x + 64, 2*g - 69 = -3*x. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.03 - 2. Let u = 2.97 + j. Let z be (-3)\/4 - (-3)\/6. Which is the second smallest value? (a) u (b) 2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/24 - -15*-28*3\/240.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 101*r - 324. Give j(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4081, 4080, 4077, 4072?\nAnswer: 4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4354 - -4354.8. What is the nearest to -1\/4 in q, -2, 6, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 (base 10) in base 15?\nAnswer: 27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 8. Suppose -18 = p - 4*t, -2*t = 2*p + 3*t - 29. Let f(w) = -4*w + 7*w**2 + 0*w**3 + p*w**3 - w**3 - 7 - 2*w**3. Determine f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227.04 - -227. Put 6\/11, -1, z in increasing order.\nAnswer: -1, z, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 13 = 3*p, 0 = -5*k - p - 4*p + 20. Suppose 0 = 7*w - 3*w - 176. Let j be ((-126)\/12)\/7*w\/(-6). Solve -k*l = -j - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6050 - -6008.43. Let q = 41.045 - 0.045. Let i = o + q. What is i rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/2 - 84035*v**3\/2 - 252099*v**2\/2 - 252097*v\/2 - 42016.\nAnswer: -(v + 1)**3*(v + 84032)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**7\/210 + g**6\/90 - g**5\/30 + 133*g**4\/12 - 142*g. Let v(i) be the third derivative of j(i). Find m, given that v(m) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 50 = -3*p. Let y(l) be the first derivative of 7*l**4\/2 - l**3\/3 + l**2 - l - 2. Calculate the lowest common multiple of y(1) and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:14 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 12, a: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 u, and 1 l when four letters picked without replacement from {u: 4, l: 1, w: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7746484*q**2 - 19*q + 202947 wrt q.\nAnswer: -15492968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Suppose s + 5 = 2*u, -2*s + 7 = p*u - 15. Suppose -m + 24 = 4*g - 5*m, -u*g + 9 = -m. Calculate the least common multiple of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0696 times -708.6\nAnswer: 49.31856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111617 * -2379\nAnswer: 265536843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8 and 4\/233571?\nAnswer: 1868568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1291451639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1185 = -11*f + 16*f. Let n = f + -229. Solve 3*p - n = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 157*b. Let w(c) = 16*c**2 - 368840 + 368840. Calculate n(w(l)).\nAnswer: 2512*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/896 and 23\/75792.\nAnswer: 4244352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-14))\/((-1)\/116). Let y = -17 - q. Which is the third smallest value? (a) y (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 61 + -60 - 4\/((-2)\/1). Let u(k) = 8*k - 22. Let n be u(q). Factor 24*v - 12*v**3 - 4*v**n + 2*v**4 - 58 + 4*v**3 + 76.\nAnswer: 2*(v - 3)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 1365705?\nAnswer: 1365704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n - 18. Let m be o(-4). Find the first derivative of -16*j**3 - m - 22 - 14 + 3*j**3 wrt j.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3611113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*w - 40*w + 282*w + 302*w + 282*w.\nAnswer: 1039*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1515*h - 7572. Let m be w(5). Let i(a) = 2*a + 1. Let v be i(-7). Let z = v - -18. Solve -q + 2*x = -2*q + 6, -m*q + 16 = z*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/12)*x)**(-16) assuming x is positive.\nAnswer: x**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 22. Let q = 20.39 + -16.39. Sort d, -2\/5, q in ascending order.\nAnswer: d, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1347 + -3.1347. What is the second smallest value in -2\/21, t, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*148\/(-7))\/(((-54)\/45)\/((-126)\/(-40)))?\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8283.543 decades to millennia.\nAnswer: 82.83543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35502.\nAnswer: 2, 3, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3156732000 to the nearest 1000000.\nAnswer: 3157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -81*l**2 - 5*l + 267. Let j(f) = 41*f**2 + 2*f - 134. Let t(d) = -5*j(d) - 2*m(d). Differentiate t(b) wrt b.\nAnswer: -86*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1425 in 206, -4\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/13? (a) -3 (b) 12\/239 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5 and -13\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = -15. Sort -0.1, t, 0.4, -9 in decreasing order.\nAnswer: 0.4, -0.1, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 59*j**2 + 3*j - 5. Let o(k) = -28*k**2 - k - 4*k - 2 + 9 - 61*k**2. Let w(s) = 5*o(s) + 8*p(s). What are the prime factors of w(-2)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2308756898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 7 = -2*d - 1, 9 = 5*d - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54036 is divided by 3000.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 94*j + 3 - 7 = -89*j, 2*j = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 48. Let j(v) = 122*v. What is d(j(k))?\nAnswer: -29768*k**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -11*r**6\/40 + 43*r**5\/30 - 182*r**2. What is the third derivative of y(d) wrt d?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + y - 57. Let f be b(0). Which is bigger: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 9. Let k(t) = -t**2 + 4*t + 5. Let p be k(6). Let i be l(p). What is the third derivative of 2*f**5 - 4*f**2 + 2*f**2 + f**i wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -8*w + 3. Suppose -n - 13 = -w*n. What is the remainder when 116 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7\/10805, -5, 1?\nAnswer: -7\/10805","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 3*b**2 + 2*b + 2. Let q(i) = 8*i**3 + 24*i**2 + 16*i + 17. Let a(c) = -6*q(c) + 51*w(c). Solve a(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.843 and -319.\nAnswer: -6967.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -502283, -1004562, -1506841, -2009120, -2511399?\n\"Answer: -502279*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3826723, -7653586, -11480447, -15307306, -19134163, -22961018?\n\"Answer: f**2 - 3826866*f + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/5 - 92*c**2\/5 - 294*c\/5 = 0. What is c?\nAnswer: -3, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrhlrlrrjrlrjrjrlrrl. What is prob of sequence jlhr?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 7 (b) -0.4 (c) 1.73 (d) -1 (e) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072284 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492720 minus -714.2?\nAnswer: -1492005.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2\/19 (c) -13 (d) -0.1 (e) -0.2 (f) -0.32 (g) -707\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5858811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 190010506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((((r*r**(-2\/35)\/r*r)\/r)\/r)\/r))\/r)\/(r\/(r\/r**(1\/14)*r*r)))\/(r\/(r\/(r\/r**(9\/7)*r)))**1 assuming r is positive.\nAnswer: r**(229\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:15 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -12 - (2 - 5)) + (-2 - 3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4275422 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 + -283. Suppose 0 = -11*n + 9*n + 16. What are the prime factors of 68 - n*g\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 2:17 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-223)\/344 - 225\/(-450) - (-4)\/32?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 10*j**2 + 9*j + 2. Let i be q(-9). Suppose u - i*r - 9 = -r, 0 = 3*u - 4*r - 22. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 283*o**2 - 2*o + 2624 wrt o.\nAnswer: 566*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-35))\/((-8)\/(-4)). What is the second biggest value in d, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*m + 3*m + 0*m)*(4 - 5 + 6) + 0 + 3*m + 0)*((-11 - 3 + 4)*(2 + 0 - 1) - 4 - 2 + 4) + (-11 + 5*m + 11)*(2 + 0 - 4) + (-3*m + 6*m - 2*m)*(-6 + 2 + 2).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6877549823564023\/109004134225 - -6\/622880767. Let l = a - 63094. Find the common denominator of l and -169\/30.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let x = -20.514 + 20.614. What is the closest to l in -4, x, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 158, -63, -430, -943, -1602?\n\"Answer: -73*a**2 - 2*a + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16230, -32396, -48564, -64734, -80906?\nAnswer: -97080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223241, -223239, -223237?\nAnswer: -223235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.074 - 247.074. Let i = p - -246.999879. Round i to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 2*f + 3. Let g be y(2). Let k be ((-6)\/g)\/(-1)*6. Sort k, 5, -0.1 in descending order.\nAnswer: 5, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -15. Sort 4, 5, o, -4 in increasing order.\nAnswer: -4, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = -43*s + 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 9*p + 245. Determine n(-19).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25749.\nAnswer: 3, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23910, -46164, -68418, -90672, -112926, -135180?\nAnswer: -157434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 22*g + 2. Determine u(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184822553.\nAnswer: 6949, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333719\/18 - 18545. Find the common denominator of -37\/1652 and h.\nAnswer: 14868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let q = 1 + -1. Let w = -132.5 + 132.7. Put q, 16, j, w in decreasing order.\nAnswer: 16, w, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**16\/(f\/f**(-3)*f*f\/(f**(-1\/4)*f*f)))\/((f**(-5)\/f*f**(1\/2))\/(f**(-1)*f\/f**(-5))) assuming f is positive.\nAnswer: f**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1749157280331.000066 + -1749137637338. Let m = y - 19642916. Let q = 77 - m. Round q to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.2, -0.3, 4, -6\/1445?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 618867\/19 or 32571?\nAnswer: 618867\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = k - 0*v, 5 = 3*k + v. Suppose 2*j - 2*h - 2 = 0, 13 = 6*j - j + 3*h. Let p = 1 - -1. Solve p*u = j + k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15947 is divided by 7960?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26017 + 43.73983. Which is smaller: o or 0.062?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 61*n - 53 + 49*n - 18*n - 5*n + 318. What is the hundreds digit of r(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 - 50*j**4 - 65*j**3 + 300*j**2 - 180*j = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*d = 71*d + 12. Suppose -k + d*m + 135 = 0, 0 = -k - 5*m + 1 + 150. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-15) - (-909)\/30 and 19\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5209 - -31231\/6. Find the common denominator of w and 45\/116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/32*-150 + (-6)\/(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*j - 40432*h**3*m - 5*h**3 - 2*h**2*j - 398*h**2 + h*j*m + 5*h*j + 1526*h - 408*m with respect to m.\nAnswer: -40432*h**3 + h*j - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -6\/5, 2\/351, -2\/13, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2148 + 5.2148. Let k = 1.5 - -7.5. What is the closest to k in -2, f, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 13*y + 129. Let z be j(20). Which is bigger: z or -18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2\/3, -0.12, -2\/7, 3.5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -14*t - 17. Let u = -53 + 36. Suppose -5*g = -4*y + 38, -g - 2*g + 4*y = 26. Let b(s) = 5*s + 6. What is g*a(q) + u*b(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1080\/28)\/9*7\/2. Let l(i) = -5 - x*i + 27*i - 14*i. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-18))\/((-10)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 43152\/(-112)*(-3 - 0 - -4). Let d = -385 - w. Suppose -4*y + 13 = 29. Sort d, 0.14, y in descending order.\nAnswer: d, 0.14, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*v + 168, -4*m + 214 = -5*v - 10. Suppose -u + 5*u - m = 0. Calculate the smallest common multiple of u and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3 - 390*b**2 + 3485*b + 528870 = 0.\nAnswer: -61, -51, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 94\/9, -6, 35 in increasing order.\nAnswer: -6, 0.1, 94\/9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*y + 15. Suppose -3*f = c - 1, -y*f - 5 + 20 = -c. Solve 0 = r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270650439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*f = -838 - 1396 - 477 - 995 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21211, 21253, 21339, 21481, 21691?\nAnswer: 21981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 5*m**2\/2 + 1967. Let t(j) = 947*j. Calculate t(l(q)).\nAnswer: 4735*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 670610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*y - 4*d, -3*y - 3*d + 11 = -16. Let i(k) = -60*k + 28. Let n(a) = 11*a - 5. What is y*i(u) + 28*n(u)?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 5}. What is prob of picking 1 f and 1 n?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -280*r**3 + 15*r**2 + 11215*r?\nAnswer: -1680*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61\/2 - 31. Let m = -24.88 - -25. Let p = m + -0.32. Which is the nearest to n? (a) p (b) 3\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1204*u**3 - 9*u - 10*u**2 + 10*u**2 + 1161*u**3 as h*u**2 + v*u**3 + z*u + a and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*n - 20, -18 = -3*r + 3*n + 6. Suppose -5*x - g = -16, -r*x = -5*x + 3*g + 8. Suppose 0 = -4*w - 0 + 20. Solve -w*s - 24 = -x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*l - 4*u, -l + 3*u + 14 = -6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15493648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3829 - -3832. Suppose 0*j**2 + 3\/4*j**h + 0*j + 0 = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 13. Find the third derivative of g**2 - 2*g**2 + 6*g**o + 8*g**6 wrt g.\nAnswer: 960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -143 and -30.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2016929 at least as big as -2016931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -18*g**4 - 9*g - 6. Let h(c) = 34*c**4 + 19*c + 11. Let i(j) = -2*h(j) - 5*l(j). What is the second derivative of i(w) wrt w?\nAnswer: 264*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -39*s**2 - 1182*s - 22839. Let k = -635 + 630. Let f(u) = 16*u**2 + 473*u + 9136. Let z(i) = k*o(i) - 12*f(i). Find m such that z(m) = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 3. Let h(y) be the third derivative of -37*y**5\/20 + 7*y**4\/24 - y**3\/6 - 26*y**2. Let z be h(1). Let u = z + 100. Determine k(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 2*l - 4*z, -616 = -3*l - l + 4*z. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 1461*p - 3 + 24)*(-3 + 3 + 3) in the form y*p + d and give y.\nAnswer: 4383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**2 - 5*s + 4. What is a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 11. Let g = -4283.3358 - -4318.34. Let d = n + g. What is d rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7912*p**2 - 22 + 2*p + 15*p - 7913*p**2. Calculate r(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 = 39*r + 588 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**3\/3 - 5*o**2\/2 + 5*o - 39. Suppose -5*t = -g - 21, -3*g - 15 = -t + 2*t. What is n(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14994 + 254*i**2 - 14994 + i**3.\nAnswer: i**3 + 254*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101100001?\nAnswer: 101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*i**2 - 19*i**2 - 7*i**2)*(3*i - 3*i + 3*i**2) + 6*i**4 + 0*i**4 - 5*i**4 + 0*i**4 + i**4 + 0*i**4 + (-1 + 2 + 0)*(i**4 + i**4 - i**4).\nAnswer: -162*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6584047 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 less than 60.34941?\nAnswer: -17.65059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/37)*u*u*u\/u**9*u)\/(u**19*u*u**37*u))**(-23) assuming u is positive.\nAnswer: u**(53682\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-9)\/(-216))\/(10\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11582 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 3*f**2 + 3*f - 2. Let u be z(-3). Let s = 20 - u. Let p = 0.91 - 1. What is the fourth smallest value in p, -1\/2, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86776?\nAnswer: 2, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1966 and -29\/8.\nAnswer: 7864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/3 - y. Let d(i) = 3*i**2. Determine m(d(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(16\/3)*s\/((s**25*s)\/s)*(s*s*((s**(2\/11)\/s*s*s)\/s)\/s)\/s**2)**21 assuming s is positive.\nAnswer: s**(-4501\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 70, 98, 122, 142?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 621 + -624. Which is the closest to y? (a) -3 (b) 2 (c) 1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) -1\/8 (c) 1 (d) 169 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 811354\/125 + -6491. What is the common denominator of -167\/30 and v?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 - 28*g - 18. Let b(k) = -7*k**2 - 29*k - 18. Let a(r) = -5*b(r) + 6*q(r). What is the units digit of a(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162448 divided by -88\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1)\/((-2)\/9). Let a(q) = 13*q - 10 - 9*q + 6*q. Let o(m) = -m + 1. Give x*o(g) - 2*a(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 + 95*u**3 + 6*u**3.\nAnswer: 85*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b**3 + 33*b**3 + 37*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68982921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -519021, -1038041, -1557061, -2076081, -2595101, -3114121?\n\"Answer: -519020*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:49 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q = 8, 0 = -3*p - 3*q + 129. Let t = -129 + 146. Calculate the remainder when p is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 178*f**2 - 2986*f + 657. Determine z(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*j - 32*j + 73*j)*(5*j**4 - 55*j**2 + 55*j**2).\nAnswer: 100*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 8*w - 7. Let o = 18 + -24. Let k(f) = f**2 + 3*f - 3. Let g be k(o). Suppose 2*p + 2*l = -3*l + g, 0 = 5*p + 4*l - 29. Calculate h(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 410, 3, 0, 2109?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4896, 19441, 43682, 77619, 121252?\n\"Answer: 4848*x**2 + x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*(54\/16 + (-3871)\/4424)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -1\/5, -0.044 in descending order.\nAnswer: 5, -0.044, -1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.25 - 7.35. Let z = j - -6. Is z > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - 13.21.\nAnswer: -13.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 39*s**3 - 5*s**2 + 9*s - 19. Let k be z(6). Let d = k + 3072. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 7*b**2 - 8*b + 10. Give i(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533761421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -50*o - 44. Let r(z) = 12*z + 10. Calculate 2*p(k) + 9*r(k).\nAnswer: 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h - 12*h + 7*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 3. Let n be o(9). Suppose 2*b - n = b + 2*y, 0 = 3*y - 3. Solve -k + b = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 105563593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11*k)\/(k**(-5)*k) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -33. Let r be 8\/12 - -38*m\/(-12). Solve -r = 5*n + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1508)\/234 - (-16)\/36. Sort -4, m, -38, 1, 2.\nAnswer: -38, m, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*r**3 - 2 + (18*r**3 - 23*r**3 - 10*r**3)*(2 - 2 - 1).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.925 + 6. Let i = v + 6. What is i rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**5 + 2684*w**4 - 35596*w**3 - 18764*w**2 + 265080*w - 213408 = 0?\nAnswer: -684, -3, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0649 and -1.4?\nAnswer: 1.4649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(16)\/(sqrt(128) - (sqrt(128)*-2 + sqrt(128) + sqrt(128))))*-4.\nAnswer: -12 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 16*l**2 - 7*l - 27. Determine w(-16).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3048274 and 15241366\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 2, z: 1, v: 1, n: 1, a: 2}. Give prob of picking 1 z and 1 s.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 15. Suppose h = 3*v - 0*v. Solve v = -x + 10 - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 46*q + 1. Let n be d(23). Let r(l) = l + n - 2 + 0*l - 3. Let g be r(6). Which is the closest to 0? (a) -3\/2 (b) 2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let g be n(-4). Let f be 17 + -2 + -2 + g. Solve -5*r = -3*i + f, 4*r = i - 2*i - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minus -125.83?\nAnswer: 223.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179.548 + -244.5409. Let q = n - -65. What is q rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -266\/5, 5, -1\/19 in descending order.\nAnswer: 5, 4, -1\/19, -1, -266\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 171. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 9*m + 48. What is the third derivative of 20*y**m + 14*y**2 - 8*y**2 + 10*y**2 + 42*y**3 + y wrt y?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595374, -595318, -595262, -595206, -595150?\nAnswer: -595094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3 + 45*a**4 - a**3 + 1975*a**5 + 780*a**2 - 1981*a**5 wrt a.\nAnswer: -360*a**2 + 1080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -87*x**4 - 7476*x**3 - 137031*x**2 + 491814*x - 33264 = 0.\nAnswer: -56, -33, 2\/29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 n, and 2 m when four letters picked without replacement from {v: 2, m: 6, n: 2, j: 4, d: 3}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9711255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 3327660?\nAnswer: 13310640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3\/6 + 497\/(-70))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 838896629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -89 + m**2 + 34 + 57 + 0*m**2 - 13*m + 24. Calculate z(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.78806 days in minutes?\nAnswer: 100494.8064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 - 573*y + 285*y - 14*y**2 + 288*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*d + 0*d**2 + 3*d**2 - d**2 - 990493 + 990537 as n + s*d**2 + r*d and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1101\/(-2569)*2*7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73502*j*r**2 - j*r + 8*j - 7*r + 16 wrt r?\nAnswer: 147004*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 73*t**2 + 32*t + 177. What are the prime factors of z(-5)?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-2)\/(-1))\/(-2). Suppose -y = t - 12. Solve 0 = -5*m - 10, -3*u - y = -2*m + 3*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + q - q)*(-2*q + q - q) - 5*q**3 - 5*q**3 + 5*q**3 + 2*q**3 - 3*q**3 + 3*q**3 + q**2 - 3*q**3 - q**2.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1656, 1543, 1440, 1347, 1264, 1191?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -303 - -231c?\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -811*n - 4851. Determine x(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s - 555*d + 144 = -559*d, 0 = 3*s + 3*d - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbv when three letters picked without replacement from {d: 2, v: 1, b: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -55. Which is the nearest to f? (a) 1\/3 (b) -0.3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 0, -2, 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*r**3 - 5*f**3 + f**2 + 567*f*r**4 - 21 wrt r.\nAnswer: -6*f**3*r**2 + 2268*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.87 times -6597\nAnswer: -5739.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 3, h: 4}. What is prob of sequence dd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188971 and 2694074.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -1.8. What is the nearest to 2\/13 in 0.4, -0.3, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450 (base 6) in base 4?\nAnswer: -21132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -41, -31, -17, 1, 23?\n\"Answer: 2*m**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/6*(-20)\/6. Calculate the greatest common divisor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 14) + 17 - (-7 + 3 - -6) - 140.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122102 (base 4) to base 16.\nAnswer: -692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5086 (b) 1\/5 (c) -4\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 251241 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 23*f**2 + 7*f - 68. Let v be g(-22). Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4253145 and 2652?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34614, -69251, -103908, -138585, -173282, -207999?\nAnswer: -242736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48.41581 meters?\nAnswer: 48415810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**3 - 58*n**2*v - 239*n**2 - 179*n + 2*v - 8948209 wrt n?\nAnswer: 6*n**2 - 116*n*v - 478*n - 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 11*q + 736. Suppose 0 = 4*x + 2*t - 296, 0*x + 5*x + 2*t = q. Let s be 2\/1 + x\/6. Solve -3 = 3*d + c, 2*d + 2*d = 2*c - s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 + 3 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4\/5, -0.2, 20\/41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**3 - 6*w**5 - 6*w**3)*(8 - 7 - 9).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -0.095, 3, -3, -9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, -3, -10, -17, -24, -31?\n\"Answer: -7*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32238539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16129151, -32258307, -48387463, -64516619?\n\"Answer: -16129156*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/4, 12, -1 in decreasing order.\nAnswer: 12, 4, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 11 - 6 - 18) + (17 - 23)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 257852*i**3 - 515698*i**2 + 257848*i = 0. Calculate i.\nAnswer: 0, 1, 128924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/144430 and 73\/222200.\nAnswer: 2888600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let d = o + -1. Which is the nearest to d? (a) 2\/19 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38106 by 261.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.72098mg to kilograms.\nAnswer: 0.00002472098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -754*h + 26. What is the remainder when m(-3) is divided by 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4877 (base 9) to base 13\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttt. What is prob of sequence tt?\nAnswer: 1","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 zzzzzzzddz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than or equal to -8\/303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**3 - 5 + 14*m**2 + 2 - 33*m**2)*(-6 + 9 - 2*m - 4) as y + s*m + x*m**3 + r*m**4 + a*m**2 and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441363 divided by 781.\nAnswer: -441363\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8088562607 to the nearest integer?\nAnswer: 89936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**11\/u)\/u)\/((u*u\/(u*u**(-1\/29)*u*u)*u)\/u)*((((u**(7\/6)\/u)\/u)\/u)\/u)**(-31\/2) assuming u is positive.\nAnswer: u**(18751\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {r: 5, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 10. Let o(d) = 9*d - 81. Let x(w) = 6*o(w) + 51*q(w). Let j be x(-8). Is 9\/32 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.1. Let d = 0.1 + 0.1. Let i = 0.47 + -0.37. Which is the closest to -0.1? (a) d (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5525*w**2 + 5522*w**2 - 3 + 4 - 35*w to h*w**2 + q + o*w and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (38190\/(-2625))\/(4\/(-5)). Let k = d + 21\/10. Let f = k + -20. What is the closest to 0 in 5, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 18 = 4*m. Suppose 12 = -2*x - 2*w, -4*x + 5*w + 28 - 7 = 0. Let p be (4 - m)\/(0 - x). Solve p = 3*c - 8*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 14) to base 15.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 17*u**2 + 29*u - 20. What is j(15)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0355 times 0.3\nAnswer: 0.01065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-50)\/7)\/((-248)\/1085). Let d be (6 - (0 + 1))*5. What is the greatest common divisor of j and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3 - 13*r**2 + 23*r**2 + 15*r**3 wrt r?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -17. Let v = 1448\/2065 - 38\/59. What is the closest to j in 6\/11, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002135745 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 61.6. Let p = t - 20. Let n be 2\/(-5) + (-5)\/(-5). Sort p, 0.5, n in decreasing order.\nAnswer: n, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 - 4*x - 1. Let r(h) = -5*h**2 + 4*h + 1. Let u(y) = 2*i(y) + 3*r(y). Calculate u(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69607\/3 + -23203. Which is smaller: v or 444?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.8 and -4\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let d = -3 + 7. Suppose 0*a + y*a = 4*k - 220, -2*a + 220 = d*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 1056*l - 7443. Let y be u(-7). Let o(p) = 4 + 1 + 3*p + 3. Let t(q) = -4*q - 7. Give y*t(f) - 3*o(f).\nAnswer: -f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**3 + 35*y**2 + 29681*y + 148411. Determine w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -4. Suppose 4*l = 3*l. Let w be l + -1 + d*2. Solve -1 - w = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 848 and 165778064?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*o - 1416 + 10251. Solve -97 = 4*m - o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 - 2*w - 3. Let z(p) = -p**2 - p - 1. Let f(v) = j(v) - 5*z(v). Is f(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = h + 30, 5*h - 29800 = -5*a. List the prime factors of a.\nAnswer: 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -1076\/7. Put -3, 2, v in ascending order.\nAnswer: -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 15, y: 3}. Give prob of picking 1 u and 1 y.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 - 6*g - 6. Let h(r) = -55*r**2 + 85*r + 85. Let v(d) = 6*h(d) + 85*s(d). Let u(y) = -8*y. Calculate u(v(t)).\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 250473 + 501053 - 250659.\nAnswer: v - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24687256 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfsi when four letters picked without replacement from {t: 2, f: 1, s: 4, b: 2, i: 1, e: 4}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 14*x - 14. Let t be p(13). Let j = -61.8 + 68. Let z = 6 - j. What is the third biggest value in -5, z, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*12*11\/(-176)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 3449709149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 + -0.07. Let g = 0.44 + -0.04. Which is the third biggest value? (a) x (b) -3\/4 (c) 0.5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 6*u + 0*u + 0*u + 4*u. Let v(q) = 12*q - 1. Let l(y) = -y. Suppose 0 = -d - 2*d - 3. Let a(s) = d*v(s) - 4*l(s). What is h(a(t))?\nAnswer: 8*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 + (-1 - 3) - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 + g - 1. Let a be x(-2). Let m = a + 6. Suppose 0 = m*f + 6, 2199992 = 6*i - 4*i + 4*f. Round i to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.175584 + 3.175174. Let p = t + 17. Round p to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31603819?\nAnswer: 13, 2431063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. Let h = 39 + -41. Let r be 1*h*22\/(-11). What is the third biggest value in -0.3, c, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 238, 514, 878, 1324?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from {o: 1, d: 1, z: 1, j: 8, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) - (sqrt(17) + 1))*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 1878.\nAnswer: 20658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 275 - 191. Suppose 5*l - 3*u + 27 = v, -l + 5 = u. Calculate the remainder when (14\/3)\/(4\/12) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from gsb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44040463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030433 is divided by 343417?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 477.21263 - 455.312513. Let v = p - 21.9. What is v rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1372 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/6)\/((-4)\/6). Solve 3*c**2 + 0*c**p - 10*c + c = 0 for c.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*w + 4*w. Let u be 5 - (3 - 2\/2). What is the greatest common divisor of w and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13460016?\nAnswer: 2, 3, 61, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341100 and 1068780.\nAnswer: 16031700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -887 divided by -45.\nAnswer: 887\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/9 and (4\/(-96)*2)\/(282\/76).\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1522 + 1522. Let l = 3.02 - 0.02. What is the closest to l in 4\/3, -3\/4, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 234566, 469248, 703936, 938630, 1173330, 1408036, 1642748?\n\"Answer: 3*z**2 + 234673*z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 578611119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*c = -14, 6*w - 13 = 2*w - 3*c. Suppose -4*m + 12128 = -4*o - 13880, 0 = w*o - 3*m + 26003. Let r = 9582 + o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + 6*(sqrt(343) + 2 + -5) + (sqrt(343) + (sqrt(343) - (sqrt(343) - (-4 + -2*sqrt(343)))))*-6)**2.\nAnswer: -197892 - 6048*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 7*d + 3. Let g(s) = 10*s**2 + 21*s + 9. Let l(z) = 2*g(z) - 7*y(z). What are the prime factors of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39646700 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217622 and 68182.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 13579 and 13579 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 4. Let h(r) = 2*r - 5. Suppose -5*v + 13*v - 32 = 0. Determine v*m(n) + 3*h(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/60 and -31\/1400850.\nAnswer: 2801700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 greater than -19\/298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f**3 - 3 + 1 + 0. Let r(n) = -n**2 - 17*n - 28. Let o be r(-15). Suppose 5*w = -3*x + o*x - 25, -3*x - 4*w - 20 = 0. Determine a(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 - 676*h**4 + 143319*h**3 - 7009436*h**2 - 606585136*h + 14629556928.\nAnswer: (h - 236)**3*(h - 21)*(h + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 740*h**2 - 8*h + 5. Let r be n(5). Let i(y) = 26285*y**2 - y - 2. Let o be i(-1). Let l = o - r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*g - 1 = -w, -3*w + 10 = 4*g. Differentiate 3 + 5*m - 5 + w*m with respect to m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*s = -284*s + 32634. Which is smaller: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327\/9*3 - -2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 7*h**4 - 1 - 2*h**2 - 6*h**4 + (5*h - h - 3*h)*(-5*h**2 + 5*h**2 + 2*h**3).\nAnswer: 3*h**4 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 213, 448, 613, 672, 589, 328, -147, -872?\n\"Answer: -6*z**3 + z**2 + 274*z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28883*3\nAnswer: -86649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 418*n**3 + 508*n**2 - 10. Let u(j) = 420*j**3 + 508*j**2 - 15. Let o(m) = -3*g(m) + 2*u(m). Find the third derivative of o(k) wrt k.\nAnswer: -2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 12*p**2 + 1377*p - 15031. Calculate b(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14748, 27854, 40946, 54018, 67064?\nAnswer: 80078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let z(a) = a - 2. Let u = 35 - 37. Let i(r) = r - 1. Let s(p) = u*i(p) + z(p). Give s(d(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776441559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 + 11*j**4\/24 - j**3\/2 + 24*j**2. Let b be o(-8). Let m be ((-4)\/10 - b\/(-45))*0. Solve m*p - 2 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + (19 - 15) + -14 + -52\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/9)*x*x\/x**0)**(3\/25) assuming x is positive.\nAnswer: x**(22\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**1\/d))**(-2\/37)\/(d\/d**(-3)*d*d\/d**(-2)) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/18)\/(3\/(-54)*-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.3. Let s be 6\/(-5)*90\/(-54). What is the second biggest value in s, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 525802 and -28.\nAnswer: -14722456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857573243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 546388 + -546624.737. Let f = h + 237. What is f rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 3)\/(45\/10). What is t in -l*t**4 + 2\/9 + 2\/3*t - 4\/9*t**3 + 4\/9*t**2 - 2\/9*t**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 - -0.5. Let m = j - 6.4. Let i(g) = -g**2 + 2*g + 3. Let n be i(3). Is n at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 928736705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1554*j**2 + j - 1554*j**2 - 594*j**3)*(-j + 3 - 3) to the form s*j**4 + u*j**2 + p*j + v*j**3 + x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 22. Calculate the remainder when (-4 - v)*1232\/(-42) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) - (sqrt(567) + 0)*5 - sqrt(567))*-2)**2 + ((-1*sqrt(567) - sqrt(567))**2 + sqrt(567))*-4 + sqrt(567) + (sqrt(567) + 0)**2*4)*2*5.\nAnswer: -270*sqrt(7) + 498960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694207869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = n + 5*s, -5*n + 67 + 233 = 4*s. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**2 + 2. Let w(f) = 15*f**2 - f - 1. Let o(h) = 8633*h**2 - 582*h - 582. Let g(n) = o(n) - 582*w(n). Give y(g(d)).\nAnswer: -103499*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - 5159.41529.\nAnswer: -5159.53529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13.001. Let h = g - 67.001. Let r = h + 66.999889. Round r to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 20 = 4*h, -2*w - 9*h + 4*h + 16 = 0. Let o be -1*(-7 + 4 + w). Solve -o*z + 15 + 0 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -24. Suppose d + b = 2. Let z = 32 + d. Calculate the least common multiple of z and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwwqhddhwddwgwh. Give prob of picking 1 d and 1 g.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**2 - 76*x + 76*x + (0 - 2*x + 0)*(0*x + 0*x + 2*x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 297*k + 12601. What is o(-40)?\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - p, -26*o - 18 = -31*o - 2*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054117 to 7 decimal places.\nAnswer: -0.0000541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/(q*q*q**(-7)))\/(q*q\/q**6*q*q\/(q*q\/(q*q**(-6)))*q))\/(((q\/q**4)\/q)\/(q\/q**(-4))*(q**(-1)\/q)**(26\/5)) assuming q is positive.\nAnswer: q**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17751 - -87?\nAnswer: -17653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-4))\/(-1)*0. Find the first derivative of -11*d**2 + 10 + o + 4 wrt d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 65*h**2 - 285*h - 636. Determine c(-69).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401480?\nAnswer: 2, 3, 5, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*j = 91*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(-2)\/(-15)*6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -379, -875, -1371?\n\"Answer: -496*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3220, -6445, -9670, -12895?\n\"Answer: -3225*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-874)\/4*(53300\/6232)\/(-325).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*q + 2. Let t = q + 17. Find c such that 9*c**t + 0*c**3 - 18 - 6*c**3 - 3*c**4 + 6 + 12*c = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268 and 7650596.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 25*x = -19*x + 627480. Is x a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**4\/3 - 17*p**3\/3 + p**2 + 511*p. Let s(o) = o**2. What is s(w(i))?\nAnswer: 64*i**2 + 544*i + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -16*a**2 - 45*a - 16. Let d(p) = -50*p**2 - 136*p - 50. Calculate 6*d(i) - 19*s(i).\nAnswer: 4*i**2 + 39*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-733*b**4 + 370*b**4 + 163*b + 362*b**4)*(-5 + 1 - 1) as q*b**4 + k*b**3 + w + z*b + p*b**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 175 = -85. Suppose -4*u = -4*x, 3*u + 8 = -4*x - u. Calculate the remainder when x\/2 + (-255)\/(-6) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/60 + j**2. Let x(f) be the second derivative of -7*f - f + 2*f - f**3. Give x(u(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -435 - 7221?\nAnswer: -7656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3200)*-1 + sqrt(3200))**2 + sqrt(3200).\nAnswer: -1 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6443 - -6458. Sort 2, a, -5, -0.1, -4\/9 in ascending order.\nAnswer: -5, -4\/9, -0.1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -5\/1166?\nAnswer: -5\/1166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 7*c - 6. Let v be w(6). Let b be (-2 - 10)*4\/v. Suppose -b*o - 4*k + 12 + 200 = 0, -o + 5*k = -59. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.129 and 0.3.\nAnswer: -0.0387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 37, 2, 1 in increasing order.\nAnswer: -1, 0, 1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82*4*(-1)\/(-8) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -97. What is the remainder when 82 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = h - 410 + 418, 5*h = 4*p - 12. Sort 7, p, -3, -30 in descending order.\nAnswer: 7, p, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90.71 + -91. Let z = 0.11 - f. Let r = 113\/2 - 54. Sort 0.5, r, z.\nAnswer: z, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 2, q: 1, o: 1, p: 1, n: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 + 0.5. What is the second smallest value in 2, j, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 130017?\nAnswer: 130012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 296*i + 378. Let m(h) = -h**2 - 17*h. Let g(c) = -5*m(c) + q(c). Factor g(y).\nAnswer: 3*(y + 1)*(y + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 7*j**2 - 10*j - 9. Let f be x(-6). Let z be (f\/2)\/((-10)\/(-442540)). Suppose -z = 3*y + 718095. Round y to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 9:07 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17786, -35496, -53204, -70910, -88614, -106316, -124016?\n\"Answer: x**2 - 17713*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 363*j = -11255, 3*v + 2*j + 57 - 12 + 21 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 125.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/3538516 and 30\/6192403.\nAnswer: 24769612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3416 + r - 3416 + r**2. Let n(w) = -4*w**2 - w - 1. Calculate -n(q) - 2*x(q).\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1469, -1373, -1191, -899, -473, 111, 877, 1849?\n\"Answer: 4*t**3 + 19*t**2 + 11*t - 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -1, 11 in descending order.\nAnswer: 11, -1, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-623)\/(-2225))\/(14\/15).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -32. What is the smallest common multiple of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -281.\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(42)\/sqrt(6) + sqrt(7)))**2.\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04639284 to five decimal places.\nAnswer: -0.04639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16691069*y**5 + 2*y + 43004083 wrt y?\nAnswer: 333821380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {i: 2, g: 1, z: 1, m: 2, f: 1, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j - 22. Let h(k) = 2*k + 1 + 6 - k + k. Let s(z) = -8*h(z) - 3*n(z). What is the units digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 17010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37976360, 75952721, 113929082, 151905443, 189881804, 227858165?\nAnswer: 265834526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 1, r: 8, m: 5, u: 3, i: 2}. What is prob of sequence riou?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*n + 69569 = 0, -5*n - 35509 - 34066 = -4*x. List the prime factors of x.\nAnswer: 2, 5, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -728588528 + 728588485.2000641. Let w = -42.8 - j. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/4 + 8*b**3\/3 - 4*b**2 - b - 13. Let l be k(8). Find the common denominator of (2\/l)\/(12\/(-1185)) and -93\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 536 - 536. Which is smaller: v or -1\/771?\nAnswer: -1\/771","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -30.01. Let i = 4 + -2. Let q be 2*(5 - i) - 2. Which is the biggest value? (a) q (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4819698 and 109?\nAnswer: 525347082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31474921781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5182764.31345 + 5183111. Let q = -31.64445 + i. Let a = 315 - q. What is a rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(100)\/sqrt(5) - (sqrt(980) + 1)**2.\nAnswer: -981 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4786, 4807, 4854, 4933, 5050, 5211, 5422?\n\"Answer: w**3 + 7*w**2 - 7*w + 4785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w + 2. Let h be r(-2). Let g = h + 10. Suppose -8 = -3*c - 2*b, 2*c - 10 = -c - g*b. Solve s = 3*s + 6, 0 = u - c*s - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 648, -5, -4, -1.\nAnswer: -5, -4, -1, 4, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**2 - 113*s + 114. Calculate n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-250300.\nAnswer: 500600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**10\/1260 - z**6\/120 + z**3 - 1. Let h(i) be the third derivative of p(i). Find the third derivative of h(k) wrt k.\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50468247, 50468238, 50468225, 50468208?\nAnswer: 50468187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 2*z - 2. Let y(w) = -w + 5. Let j be y(3). Let c be s(j). Let r(i) = 0 - 3 + 4 + 2*i**2 + i. Calculate r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -5, -5\/91, 2\/15, 58 in increasing order.\nAnswer: -5, -2, -5\/91, 2\/15, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41155 (base 6) to base 2.\nAnswer: -1010101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 15*h - 60. What is r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*10 - (-137094)\/(-4382).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5658804 - -11745907. Suppose -2*m - i = -27087103. Round m to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/23))\/t**(-2\/17))\/(t\/t**(5\/4)*t**(1\/12)*t) assuming t is positive.\nAnswer: t**(871\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + l - 67 = 0, 4*o - 334 + 62 = -3*l. Let k = o + 325. Is k a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(5\/45). Let k = -1 + b. List the prime factors of k\/(-12) + (-292)\/(-24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:31 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -0.088\nAnswer: 1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (9 - (11 + -5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjj when three letters picked without replacement from {x: 11, h: 1, j: 6}.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/7 + 24308*c**2\/7 - 75625794*c\/7 + 10666658664\/7 = 0.\nAnswer: 148, 6003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/27 and -67\/8883.\nAnswer: 8883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*t + 1 - 0, t = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -347\/10 - -56\/5. Let n = 23 - 46. Let s = h - n. Is 1\/4 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 524.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -97, 4, 5 in ascending order.\nAnswer: -97, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m*m)**(34\/7))**(-7\/9) assuming m is positive.\nAnswer: m**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g + 3*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30255 (base 7) in base 16?\nAnswer: -1cad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 6*t - 27. Let b(p) = 3*p**3 - 4*p**2 + 2. List the prime factors of b(t).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from llltllltllllllt.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 3. Suppose 226 = 5*x - 19. Suppose -26*k + 33*k + x = 0. Determine o(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5100 + -3?\nAnswer: -5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*h + w, -2*h - 3*w = -8*w + 5. Let g be (1 - h) + (1 - 3). Put 4, -3, g in descending order.\nAnswer: 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164794352 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*x - 436 - 474, 730 = 4*x + 5*m. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(243) - -6*-2*sqrt(243))\/((sqrt(9) + sqrt(9)*-2)*-4)).\nAnswer: -165*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 43*g + 5 - 1.\nAnswer: -43*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:19 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58286\/61 or 956?\nAnswer: 58286\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 7\/223248 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3070 = -56*z + 46*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/126 and 1\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963*p + 3315 = -708*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phup when four letters picked without replacement from phhpuuuuu?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7214?\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -319.04 + 320. Let w = 25.04 + l. Which is greater: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 299683 + -299671. Let x(j) = j**2 + 5*j + 6. Let l be x(-4). What is the third biggest value in -3, l, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.9 + -3.9. Let w = -46.9 + p. What is the closest to w in 0.1, 3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -1893.\nAnswer: 1893.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 168, 689, 1566, 2805, 4412?\n\"Answer: o**3 + 172*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 9*h**2 - 12*h + 2. Let k be g(10). Let a = k + 18. Suppose 0 = 4*z - a*z - 100. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220907567451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -2, 7 in decreasing order.\nAnswer: 7, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m\/(m\/(m\/m**(-1\/3))))\/m)))**(-8) assuming m is positive.\nAnswer: m**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -1072, -2559, -4826, -7981, -12132, -17387?\nAnswer: -23854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014194654 rounded to 5 decimal places?\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 4951*z**2 - 7*z + 2*z - 4289*z**2 to the form n*z + s + w*z**2 and give w.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {j: 2, x: 2, y: 1, p: 6, l: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 + 244\/(-70) + 3. Sort -1, t, -0.3, -5.\nAnswer: -5, -1, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 - 243 - 240 + 3276*p + 726.\nAnswer: 3276*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 5*q + 1. Let n be l(-2). Let i(f) = -2*f - 7. Let j be i(n). Differentiate -10*u**j - 2 - 1 + 5 + 1 with respect to u.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001921093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovei when four letters picked without replacement from {u: 5, v: 2, e: 5, i: 2, o: 5}?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*f + 3*m - 18, 2*m - 2 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2176, -4340, -6490, -8626?\nAnswer: -10748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, 966, -0.0388?\nAnswer: -0.0388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) 1 (c) -3\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1852048006 to four decimal places.\nAnswer: 0.1852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmmlllm. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*1\/(-2)*-17. Let g(x) = -4*x - 60. Let q be g(y). Let w be (14 - 11)*(1 + q\/(-10)). Which is the third biggest value? (a) 3\/2 (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9*r = -6385. Suppose -3*z + 5*z - 5*k - r = 0, -z - 5*k = -631. Suppose -4*p = x - z, -p + 470 = 2*p - x. What is p rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 2*l - 2. Let f be q(-2). Let o be ((-575)\/(-69))\/(f\/264). What is o rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -343221 - 13656?\nAnswer: -360210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47852683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:14 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019033 to 7 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1577, -1 in increasing order.\nAnswer: -5, -1, 1577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1820860650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8*f = 10. Suppose -4*p + z = -9, -f*p - 2*z + 0*z + 8 = 0. Suppose -26 - 30 = -4*q. Solve 3*d - 5*k - 5 = 22, 5*d + p*k - q = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Does 2 divide r - (-1 + 2) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u**3 + 2*u**4 - 2*u**2 + u**2 + 15*u**3 to i + t*u**3 + z*u + g*u**2 + d*u**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 3*d + 5. Let a be v(6). Let w = a - -53. Let c(k) = k**2 - 5*k - 1. Determine c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 - -1.9. Let i = 0.99 + -10.79. Let m = -7.8 - i. What is the second biggest value in f, -0.3, m, -5\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**2 + 2. Let i(n) be the second derivative of -n**4\/12 + 6*n. What is i(t(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/386 and -67\/18?\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 65. Suppose 0 = -t*u - 2*u. Suppose 0 = -3*b - 3*i - i, u = -3*b + i. Solve 4*w + 4 = 4*p, 3*w - 2*p - 3*p + 11 = b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 11) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 53025?\nAnswer: -53020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-20)\/(-6))*(-16)\/(-12). What is the second derivative of -2*o**s - 74*o + 73*o + 2*o**2 + 17 - 28*o**3 wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 117, 231, 331, 411, 465, 487, 471, 411?\n\"Answer: -h**3 - h**2 + 124*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10306*x. Let a(j) = -355*j**2. Calculate a(v(g)).\nAnswer: -37705840780*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8)*22\/(-99). Let o(j) be the first derivative of 1\/2*j**2 + 0*j**3 - c*j**6 + 0*j**4 + 0*j**5 + 1 + 0*j. Find the second derivative of o(g) wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114430946 is divided by 10623.\nAnswer: 10613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 - -95. Let h be 0 + (0 - u) + (-4 - -2). Suppose 64*t - h = 59*t. Solve t*z = -0*z - 4*y + 19, -26 = -5*z - y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359\/15 + -56\/15. Let m(p) = 35*p**2 + 7*p. Let k be m(-1). Let g = k + a. What is the closest to 0.1 in -2, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.36? (a) 6 (b) -167 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 - -3. Suppose 5*l = 2*l + v. Let y = -14 + l. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41\/14? (a) 0.3 (b) 5\/2 (c) -4 (d) 3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 11, 1 in ascending order.\nAnswer: -4, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)*l**(1\/2)*(l**(-1\/3))**(-10\/9)*(l*l**(2\/9)*l*l**4)**6 assuming l is positive.\nAnswer: l**(10207\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/6 + 95\/15 + -6. Suppose 0 - 1 = 3*f - 2*x, 2*x = -u. Do -1\/91 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppnpnpinppnpni. What is prob of picking 2 i and 2 n?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 4*r**2 - 3*r - 6. Let s be c(-8). Suppose 9*f + 344 = s. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2109, -439, 1233, 2907, 4583, 6261, 7941?\n\"Answer: d**2 + 1667*d - 3777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14343)\/(-1366) + 5\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 216*a + 63. Let j(k) = 7*k + 2. Give -63*j(d) + 2*v(d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1196*y - 487977. What is m(-408)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 447, 905, 1421, 1995, 2627, 3317, 4065?\n\"Answer: 29*c**2 + 371*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - 3*b**2 + 2*b**2)*(-1 - 4 + 4) + (105*b - 4*b - 10*b)*(-b + 3*b - 3*b) as a*b**2 + g*b + l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123539545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Differentiate 10*f**c + 3 - 10*f**2 + f**2 with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*i, -i = -3*u + i + 14. Suppose u*r = -473 + 117. Let l = -102 - r. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*h - 2*h**3 + 0*h**3 - 1970*h**2 - h**3 + 1971*h**2 to the form f + x*h + m*h**3 + r*h**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, -4, 4, -5 in descending order.\nAnswer: 5, 4, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h - 34. Let d(f) = -3*f + 33. Let v(n) = -4*d(n) - 3*m(n). Let y be v(10). Suppose y = -4*u + 75 + 1057. What are the prime factors of u?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2. Let y = 218 - 365. Let p = -90 - y. Let o(u) = -121*u + p*u + 44*u. Determine s(o(b)).\nAnswer: 1200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/6)\/(28\/(-37086)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at most -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*i + 21 = 3*i, -36 = -p + 4*i. Let c be ((-4)\/(-6) - 49\/(-84))*p. Calculate the lowest common multiple of 116 and 19\/5 - (-6)\/c.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 13*g = 18*g. Let n be 22\/8 - 1\/(-4). Suppose 0 = n*r - 4*r + 4. Solve g*w + 5*w = 10, o + w - r = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605237715 rounded to the nearest one hundred thousand?\nAnswer: 605200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6)*((-15)\/(-5) - 1). Which is the nearest to 0? (a) 3 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 10*f**2\/7 + 5394*f\/7 + 308 = 0.\nAnswer: -539, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 47 = 2*a + 15*j, -2*a = 5*j - 27. Suppose -21*m - 5490 = -a*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(9 - 11) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15167082 to the power of 1\/2, to the nearest integer?\nAnswer: 3894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 4. Let h be z(4). Let f be (162\/(-8))\/(6\/h). Suppose -4*b - 4 = -28. Calculate the greatest common divisor of f and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 113*i + 361. Determine w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/39, 6, 32.96?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3257 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let c = 27 + -26. What is d(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 13*b + 10. Let j be w(13). Suppose -11*h + j*h = 2. What are the prime factors of 4 + h - (1 - 16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - v + 5. Let g be u(-4). Let q = 1 + g. Let b = 39 + q. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67534 plus -908811?\nAnswer: -841277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137608, -137616, -137622, -137626, -137628, -137628, -137626?\nAnswer: -137622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-7366)\/290 - (1 - ((-39)\/(-15) + -2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 26*s + 77. Let f be h(-23). Suppose 2*u - 6 = 8. Solve q + v + f = 0, 3*q - v = q - u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89209935 to the power of 1\/2, to the nearest integer?\nAnswer: 9445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -176c537?\nAnswer: -176c532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 - f**2 + 1. Let d be p(1). Let s(z) = -z - 2. Let o be s(d). What is the third derivative of 4*v**5 + o*v + 0*v + 5*v**2 + 0*v**5 wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:44 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let t(m) = 2*m + 113. Calculate k(t(r)).\nAnswer: -4*r - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 728 = x. Let g = -28420 - -28448. What is the highest common divisor of x and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 0.4 (b) -0.04 (c) -78 (d) 0 (e) -8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 521.4 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.818763 to two decimal places.\nAnswer: 5.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 10 = -21*u, 2*u + 13108 = 3*p. Does 52 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(27\/(18\/(-2)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-3)\/4)\/(99\/66)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-546) + ((-56)\/52 - -1)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 2*y + 0 - y**2 - 94*y**3 - 6. Let t be q(-2). Suppose 1000 = 4*z + l, 4*l = -4*z + t + 242. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 554.6286us?\nAnswer: 0.00000924381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 18 + -9 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 3 + 6*h + 3 - h**2 as t*h**2 + x*h + k and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/((-36)\/(-48))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 10*t - 366. Suppose w + 5*z + 13 = 0, 0 = -t*w + 26*w + z - 7. Calculate the remainder when 15 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499680 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 (i**(1\/2)*((i**8\/i)\/i)\/i)\/(i**(1\/3))**(-1\/10)*(i**(2\/7))**(-41)*(i**(-2\/7)\/i*i*i)**(-2) assuming i is positive.\nAnswer: i**(-799\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -673 times -25.2\nAnswer: 16959.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c**2)*(-1 - 4 + 3 + 0 + 2 + 0 - 2 + 5 + 0 + (4 - 5 + 3)*(-1 - 4 + 4))*(2*c - c - 5*c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -445379 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 66362778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437186268?\nAnswer: 2, 3, 61, 66361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 + 4. Suppose s - 42 = i*w, 4*s = w + 43 + 50. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -55*l + 34*l**2 + 1913*l**3 + 4 - 1914*l**3 - 6*l + 40. Let v be w(32). Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d647 - 3?\nAnswer: d644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/5, 1\/8, 4\/14831, 2.03?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-3)*(-5)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 49 = 4*b, -5*r + 18448 = -b. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 12, -3\/2, 0.3.\nAnswer: -3\/2, -0.19, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**2 - 5*c**5 - 8*c**2 + (0*c**2 + 0*c**2 - 2*c**4)*(c - 2*c + 3*c).\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + ((-1807)\/26)\/(-1). Let z be 2\/s*7*212\/742. Suppose -5*c + 15 = 5*g, 5*g + 14 = 4*c + 2. Is z less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.4, -1\/14, 0.5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 4*l**2 - 3*l + 8247. Let b(y) = 7*y - 3. Calculate 3*b(d) - 4*q(d).\nAnswer: -11*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*a - 25*a = 46*a - 49*a + 5264 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6438, 5, 3, -215 in decreasing order.\nAnswer: 6438, 5, 3, -4, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 3*c, 3*c + 2*c = -5*w - 10. Suppose -2*r = -2*f + 22, -3*f + 0*f + 5*r + 39 = 0. Suppose w*d = -2*d + f. Solve -h + d = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618931131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 19. Let m be n(-3). What is the greatest common factor of m and 2054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 41. Let j(o) = 72. Give -d(s) - 8*j(s).\nAnswer: -2*s - 617","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from avrfafrarvvvfvrvfuv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 1:32 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -5\/2, 0.5, 0.041, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:11 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235*p**3 + 238*p**3 - 201*p**3 - 82*p + 2 wrt p.\nAnswer: -1188*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2850 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/(-3) + 2)\/(7\/6146) is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2 + 36*u - 96 = 0?\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 4. Let v be m\/9 + (-75)\/(-27). Suppose c - v*y + 11 = 2*c, -5*y + 13 = -c. Solve -c*o + 10 = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 150 = 2*g. Which is greater: -28 or g?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:27 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 121 = -2*q, -l - 7*q + 2*q + 35 = 0. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 238, 292, 272, 154, -86, -472, -1028?\nAnswer: -1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 - (-28 - (31 - (94 - 50)))?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -16\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-1560)\/(-416)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**2 + 10*g. Let d(n) = -24*n**2 - 30*n. Let o(r) = -4*d(r) - 11*v(r). Find the second derivative of o(s) wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 866548787 and -403?\nAnswer: 866549190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-246)\/(-26))\/3 + (-24)\/156. Solve t + 2 = 4*h, -4*t - s*h + 2*h - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20484*w**3 + 20473*w**3 + 20475*w**3 + 20481*w**3 - 81911*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45559 is divided by 143?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 + 2980*u**2 - 425600*u - 5544960 = 0. Calculate u.\nAnswer: -12, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7070397661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 415229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -64, -2, 5 in ascending order.\nAnswer: -64, -2, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214444 (base 5) to base 7.\nAnswer: -30602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 13*t**2 - 379*t + 2240. Determine k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 10948.\nAnswer: 98532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huwwufyybyfbhuuuu. What is prob of picking 1 f, 1 h, and 1 y?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671491 > 1671497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 24 = -39. Let c be (10 - 50)\/(-8) + -3 + -3. Sort w, -15, c, 0 in decreasing order.\nAnswer: w, 0, c, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37308 and 2106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-2*1*sqrt(10)) - (sqrt(1296) - sqrt(1296)*-2)\/sqrt(8).\nAnswer: -55*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*g = -29, -2*z + 0*g + 12 = -g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((sqrt(500) - (sqrt(500) - (1*sqrt(500) + sqrt(500)))) + 0)*-1 + 6*(-1 + -1*sqrt(500) + sqrt(500) - sqrt(500) - sqrt(500)))*-4)**2 + 4.\nAnswer: 44800*sqrt(5) + 1569604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/((-6)\/(-16)). Suppose -14 = 2*p + 2*c, c = -p + w*p + 1. Let r be (4\/(-16))\/(p - -1). What is the nearest to r in -4, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 7 = -7. Does 3 divide (y\/7 + 2\/(-4))*-376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2. Suppose 3*t = -5*d + 5, -410 = 3*d + t - 417. Let l(w) be the third derivative of 0*w + 34*w**2 + 0*w**3 + 1\/24*w**d + 0. Give l(f(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anal when four letters picked without replacement from {a: 10, l: 8, n: 1}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - 10*n**2 + 2*n + 1. Let a be s(5). Let j = a - -6. Determine t, given that 12*t**4 - 25*t**3 + j*t**3 + 16*t**3 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -7*x + 89. Let y = x + 21. Solve y*t = 3*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 5*u**2 - 5*u - 4. Suppose 3*y + 18 = 3*w, 3*y - w + 13 = -1. Let p be i(y). Suppose -4*x + p = -0*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and 1035.56911.\nAnswer: 1035.38911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*v - 2*x + 8, 4*v + x - 10 = 0. Let b be 1 - (-3 + 2 - -2). Solve 0 = -u - 5*k + 1, 0 = -b*u + 2*u - v*k - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.03 * 346\nAnswer: -356.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192528 and 3272976.\nAnswer: 3272976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1496, 5626, 12526, 22208, 34684?\n\"Answer: 2*u**3 + 1373*u**2 - 3*u + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -253, -228, -173, -76, 75, 292?\n\"Answer: 2*a**3 + 3*a**2 + 2*a - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 and -41\/133146?\nAnswer: 532584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 9. Calculate the remainder when 80 is divided by j(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 7, -6, -305\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-3)*63\/14*(20748\/(-390) - -56)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5674 (base 9) in base 16?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 + -929?\nAnswer: -8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 13) to base 15\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1458 and 1596267.\nAnswer: 9577602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 10, 79, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from vlvvvvccclcc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33133, -33131, -33129, -33127, -33125?\n\"Answer: 2*v - 33135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 0*r**3 + r**3)*(-1 + 3 + 2) + r**2 - r**2 - 3*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5366 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7507 - -7551. Calculate the remainder when 3167 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/(2\/(-4)*6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 37*d - 265. What is z(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -5*i + 25, -5 = -2*t + 28*i - 31*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 30*g - 64. Let z be k(32). Suppose z = c - 6*c + 4*n - 96, 4*c + 5*n = -44. Is 1\/4 - (-23622)\/c*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*y - 55 - 2*y + 53)*(-108*y**2 + 72*y - 72*y) in the form g*y + n*y**2 + p + d*y**3 and give n.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11460*q**2 - 30685*q + 11085 = 0.\nAnswer: -3, 739\/2292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/(-3) + (-21)\/14 and -62\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s + 1\/6*s**3 - 1\/18*s**5 + 0 + 19\/144*s**4 + 134*s**2. Factor h(p).\nAnswer: -(4*p + 1)*(5*p - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 19 = -6*o. Solve q = 5, -33 = 2*x + q - o*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/98)\/((-9035)\/(-442715)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-4) - (-6)\/(-4). Suppose -5*r = -3*r - s. Let b be r*1*(-2 - -4). Solve -i - 2*i + b = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*259\/(-370).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -465.7?\nAnswer: -465.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 27 = 4*f, -f = -4*t + 3*f - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/113770 and -1\/248.\nAnswer: 455080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 + -1.88. Let s = -3.04 - -0.04. What is the third smallest value in u, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 552, 799, 1026, 1233, 1420, 1587?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1 - 7) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = -16. Suppose -4*v = -4*d + 12, 4*d + 0*d - 5*v - o = 0. Let g = 3332 + -3283. What is the greatest common factor of d and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-1690)\/(-22) - (-6)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100100001111011?\nAnswer: -100100001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**2 + 7*a + 2. Let w(k) = -3*k**2 - k - 1. Determine -s(c) - 3*w(c).\nAnswer: -4*c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2525800 to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2. Let m(s) be the second derivative of s**6\/360 - s**4\/4 + s. Let b(i) be the third derivative of m(i). Determine h(b(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 25\/((-6375)\/(-30)) + 16404\/3332 + 0\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165672 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 - w**2 + 8*w + 1. Let d(i) = -i**3 + 3*i. Let u(j) = -j**3 + 18*j**2 + 39*j + 17. Let h be u(20). Give h*a(v) + 8*d(v).\nAnswer: v**3 + 3*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 2. Let g be v(2). Suppose g*l - 5*f = l - 10, -30 = -l - 5*f. Suppose n - l*n = 0. Put -1, n, 1 in descending order.\nAnswer: 1, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/3)\/g*g\/(g**0\/g))**(-21)\/(((g\/(((g**(2\/5)*g*g)\/g)\/g)*g)\/g)\/(g**(-2)*g))**(-2\/49) assuming g is positive.\nAnswer: g**(3446\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -931.893 minus -2?\nAnswer: -929.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9952\/549 less than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 26 + 20 = 0. Solve -6*k + j*k = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 5:37 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Suppose 2*b = 6 - 0. Let a be 6 + -5 - 1\/b. What is the biggest value in -0.1, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.46 - 1.46. Which is smaller: 7.36 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*r**2 - 41408*r - 2645290 wrt r?\nAnswer: -24*r - 41408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 5*s)*(500 - 4*s**3 - 500)*(-6 + 4 + 6).\nAnswer: -80*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**4\/8 + 7*d**3\/6 - 2*d**2. Suppose 0 = -5*a - 33 + 93. Let n(q) = 31*q - 7*q - a*q - 11*q - 2. Calculate -2*m(o) - 7*n(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81094.0643631 + -75542.528968. Let f = x - 5518.5354. Let z = -33 + f. What is z rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/497120 and 121\/238?\nAnswer: 59157280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1676 + 1671. Which is the closest to -2\/3? (a) -2 (b) 3 (c) 0.05 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2\/2 + 41. Let g(b) = -2*b**2 - 7*b. What is w(g(t))?\nAnswer: -2*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17578549.\nAnswer: 563, 31223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Solve 0*u + u - t = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1951387*q**2 + 1017238*q wrt q?\nAnswer: 3902774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 11*u + 5 = -4*a, -17 = -2*u + a for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1409947.\nAnswer: 3\/1409947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 11. Let y = -8 + q. Let r(h) = -h**2 + 5*h - 6. What is r(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/9))\/b*b*b*b\/(b\/(b\/(b*(b\/(b\/b**(-6)*b))\/b*b))*b))**4\/((b**(1\/3)*b)**(1\/4)*(b*b**1)\/((b*b\/(b**2*b))\/b*b)) assuming b is positive.\nAnswer: b**(250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47053271 + 1?\nAnswer: 47053272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70462000 = 74*q - 123*q. Round q to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 1, x: 2, h: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -536 - 2499. Let o = 4273\/7 + v. Determine n, given that -o*n + 8\/7 + 10\/7*n**2 = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9487 and 7339?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 732150 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.753 rounded to the nearest integer?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(2*-1)\/(-2). Let u = o - 3. Solve -3*n = -u*v + 8, 5*n = -3*v - 0*n - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m + 4 = 0. Let f be (-2432)\/(-12) + m\/(-12). Let d = -52 + 81. Calculate the greatest common factor of d and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 10*u**2 + 23*u - 96. Determine o(12).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 11\/37 (b) 3 (c) 1\/2 (d) -0.2 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = d + 3, 0 = 5*d + 3*s + 20 - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 7*w + 4. Let l(f) = f**2 - 8*f + 3. Let c(y) = 3*b(y) - 2*l(y). Determine c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Suppose -g - 35 = -6*g. What is the lowest common multiple of g and f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2\/(-3) - -2. Suppose -b*y + 2*y = -14. Solve 3*o + 4 = y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 767796*n - 255932*n - 255935*n - 255929*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*s + 16 = 0, -s = -5*c - 1 + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/11*(-52)\/(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -417, -851, -1311, -1809, -2357?\n\"Answer: -2*j**3 - j**2 - 417*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 31 + 17 = 0. Suppose -g + d + 4 = 0, -4*g + 5*d + u = -0. Suppose -3*t - 2*b = -135, 5*t - g*b + 45 = 6*t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/684 and 31\/563388?\nAnswer: 1690164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 4 - 1 - 1)*(0 + 23 - 3).\nAnswer: 40*p + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190\/282499 - -1475084907\/5649980. Let w = j - 64\/35. Let k = 7157\/28 - w. Find the common denominator of k and 61\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36004 is divided by 17869?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lawhz. What is prob of picking 1 a and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 212 - 122. Let d = 22 - 12. Calculate the greatest common factor of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*o - 3*y, 0 = 3*o + 2*y - y - 63. Let q be (-30)\/3*(-8)\/o. Is 2 a factor of 13 - (-2)\/(-4)*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1606 + 1680 - 3286 + 107*l**3.\nAnswer: 107*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1055\/3 + -352. What is the fourth biggest value in 18, -0.4, 3, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2556, 5131, 7728, 10353, 13012, 15711?\nAnswer: 18456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6399919?\nAnswer: 31, 431, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-24) + 52\/(-24). Let v = i - -7. Calculate the remainder when 14 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -12, 5*q + o + 162 - 493 = 0. Let l = 132 - q. What is the remainder when l is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*m**2 - 2)*(2 + 0 + 0) + 5*m**2 + m**2 - 22*m**2 + (-2*m**2 - 2*m + 2*m)*(-1 - 1 + 4) + 6*m**2 + 10 - 10.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654 a factor of 32001809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = 44*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 4*r**2 - 8*r - 6. Let j be x(-5). Find the first derivative of -28*s**4 - 3409*s**2 + j + 3409*s**2 wrt s.\nAnswer: -112*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.1 - 62. Which is the biggest value? (a) 2\/7 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 22*b + 32. Let p = -133 - -143. Is v(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 2.1. Suppose -42 = -4*h + h. Which is the smallest value? (a) 5 (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i*i\/i**(3\/7))\/i*i*i)\/(i**(-2\/7)\/i*i*i)*(i*i**1)**16 assuming i is positive.\nAnswer: i**(251\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:21 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, -3, -4, 0, 4\/7, 580?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -166 + 162?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1815021 is divided by 3015.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-130)*(-3)\/6. Let x = -5 - -9. Let o = -0.36 - 0.64. Which is the nearest to o? (a) x (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11917 is divided by 1325.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5187 and 3?\nAnswer: 5190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7212079 to the power of 1\/2, to the nearest integer?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 48. Let w = 86.4 - u. Which is the closest to 2? (a) w (b) -2\/17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 276.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -873*p**3 - 1247*p**2 + 1236*p**2 + 871*p**3 - 128 to w*p + j*p**2 + b*p**3 + k and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 18 = -8. Suppose f + 2*r - 6 + 2 = 0, 3*r = -f + z. What is the least common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -8. Let k be -4 - (s + (2 - -1)). Let z = k + -1. Is -4 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*j + 14. Solve q = 4*o - 9, -4*o + 1 + j = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0*z**2 - 5*z**2 + 2*z - 6*z + z**3 - 2*z**3. Let c be p(-4). Is c >= 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 = w - 0, -4*w + 12 = 4*p. Calculate the remainder when 7\/(-1)*2\/(-2) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 4. Let z = -10 - -17. Let g = 2 + -4. Let s(c) = 3*c - 17. Let b(u) = 6*u - 36. Let j(t) = 2*b(t) - 5*s(t). Calculate g*j(m) + z*q(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53036034 (base 7) to base 15.\nAnswer: -5d75d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493375 is divided by 907.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 3*k + 15 - 0, -5*k - 25 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04104 - 2.18996. Round a to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -22. Suppose 1 = -5*k - a + 5*a, 2*a - o = k. Suppose 4*w - 68 - 139 = k*m, 0 = 4*w - m - 205. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - s + 22 = -4, 2*s + 26 = 3*c. Let t(g) = g**2 - 9*g + 15. Let r be t(c). What is the biggest value in 0.02, r, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, -0.08683, 0.46, 2.\nAnswer: -5, -4, -0.08683, 0.46, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1460\/120)\/((-235)\/1410).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqqouquo. Give prob of picking 2 o, 1 u, and 1 a.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 + 6. Let q be (-106)\/182 - (13\/((-65)\/(-15)))\/(-7). What is the second smallest value in q, f, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 8 = -f, 69*f + 14 = -10*x + 3*x + 67*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19*d + 12. Let t be 12*2*(-3)\/(-9). Let r be q(t). Find the common denominator of (-4)\/(-10) - (-326)\/r and 91\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -18*x**2 + 21*x - 21. Let c(b) = b**2 - b + 1. Let h(y) = 105*c(y) + 5*i(y). Let j(s) = s. What is h(j(l))?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttqqtqttqqtqtqqqqtt. What is prob of sequence tqt?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(7\/(-2))*(-9)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 13 + -18 + -8 + 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1138 - 2523?\nAnswer: -13b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*y + 23 = -6*l, -2*l = 5*y + 6. Suppose 0 = 1852*s - 1817*s + 560. Is s <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1700 - -2398. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252011467.\nAnswer: 499, 505033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 3*s**2 + 3*s**2. Let v(o) = 0 + 5 - 2*o - 5. Give t(v(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 761417862 to the power of 1\/3, to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 17*m + 18. Let g(v) = -v**2 - 6*v - 2. Let l be g(m). Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 - 1327 - n - 2*n**2 + n**4 + 1326 to the form x + w*n**2 + i*n + v*n**4 + a*n**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*g + 1417 + 3430, 0 = 3*g - 3. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4517541 and 56.\nAnswer: 36140328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 679 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n - n + (2*n + 5 - 5)*(-2 - 2 + 2) - 323*n + 126*n - 28*n + 1 - 2*n - 1.\nAnswer: -232*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Total of 22 and -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 621 - -0.205674?\nAnswer: 621.205674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5203t in milligrams?\nAnswer: 10520300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = -28. What is the remainder when 39 - (-1 + (-3)\/3) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -731*x + 552 wrt x?\nAnswer: -731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -39. Let a(w) = -4*w - 4. Let o(i) = 3*i + 3. Let l(h) = 4*a(h) + 5*o(h). Let v(j) = -j. Calculate c*v(t) + 2*l(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*420\/5600?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 - (-18 + (-217 - -117)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/15, -3\/2, 14, -521?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 248 + 255 = i, 3*l = 3*i - 1509. Let v = -501 + i. Factor 0 - 4\/5*g + 14\/5*g**v + 2*g**4 - 18\/5*g**3 - 2\/5*g**5.\nAnswer: -2*g*(g - 2)*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 75197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Let w(d) = d + 25. Is w(a) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**2 + 224 - 28*l - 230 - 32*l + 60*l.\nAnswer: -30*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(360))\/(1*sqrt(8)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2174 - 5916 + 1438)*(3*n**3 + n**4 - 3*n**3).\nAnswer: 2304*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wnwgvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.1. Let z = -56 - -60. What is the smallest value in a, z, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 11*f - 26. Let n be t(-13). Suppose -8*h = -n*h - 72. Let l be h\/(-63) - 38\/(-14). Sort 2, l, 5, 0 in decreasing order.\nAnswer: 5, l, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 6 = -17*h. Let w(j) be the first derivative of 1664*j + 5 + 9 + h*j**2 - 1652*j. What is the first derivative of w(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748545 is divided by 811.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53123 is divided by 253.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041214 to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-1)\/((-3)\/(-9)*2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*z + 19*z - 8. Let l = -6 - -4. Let x(p) = -2*p - 3. Let s be x(l). Put -3, z, s in ascending order.\nAnswer: z, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:07 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 715936 divided by 22373?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 28 = 15*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1409*x**4 + 1158*x.\nAnswer: -16908*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1 + 2 + 4*q - 2. Let j be c(1). Suppose 0 = j*w - 9 - 15. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-2)\/3)\/(26\/(-546)). What is the nearest to 0.1 in u, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1824 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 18 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 0*v + v)*((-2 + 6 - 2)*(-2 + 3 - 3) + 0 + 3 + 0 + 1 + 0 - 2 + (4 - 5 + 3)*(2 - 1 + 0) - 10 + 0 + 20) as n + a*v and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, x: 2, s: 3}. What is prob of picking 3 s?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 15 = 37*l. Is l*(6 + 1615*-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 123808*o + 33948642.\nAnswer: -2*(o - 273)*(o + 62177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 722*l**2 + 54701*l - 210. What is i(-86)?\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)\/sqrt(2))**2 + 2 + 4 + ((sqrt(120)\/sqrt(5))\/sqrt(8))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - y = -3*o - 72062, -4*o = -2*y - 96066. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.73 + 3.73. Which is the closest to -4? (a) 1\/2 (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 11*b - 10. Let x be g(8). Suppose -4*o = -p + x, -818 = -4*p + o + o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - -3)\/((-12)\/(-20)). Calculate the common denominator of 51\/22 and (t\/(-10))\/((-28)\/(-22)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(12\/18). Let y(s) = -2*s**2 - 2*s. Suppose 0*u = u + 2. Let r be y(u). What is the biggest value in t, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + o + 2*o = -50, -3*m + 2*o = -38. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 23 - 3)*(0 + 4 - 2)*(-1 + 2 - 2)*(-4*v + 6*v - 3*v) in the form a + r*v and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -715\/2 less than -359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 divided by -4?\nAnswer: 241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001367072 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/28 at most as big as -0.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.8 (c) 0.1 (d) 2 (e) -1512.7 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 + 86 - 13) + -24 + 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6818 = 2*i, -36*i + 10215 = -33*i - 2*c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 5*x**4 + x + 8*x**4 - 3*x**3 + 3*x**4 to z + j*x + a*x**2 + n*x**4 + k*x**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223110038*c*v**2 + 19899*c + 81*v + 3 wrt v.\nAnswer: -446220076*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*f + 353*f - 179*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -15. Let h(b) = 3*b**2 + b. Let w be h(-1). Let i be w + (-1 + -2)\/(-3). Solve 3 = -i*a + t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9686*z - 19372. Give n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -4*i**3\/3 - 47*i**2\/2 - 75*i. Calculate s(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -6*q - 24. Find the third derivative of 14*u**4 + 8*u - q*u + 16*u**2 - 2*u wrt u.\nAnswer: 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/31120475 or 1?\nAnswer: 26\/31120475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -52080 > -52089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 5)*(0*c**3 + 3*c**4 + 0*c**3) - 3*c + 13 - 13 - c**4 as y*c**4 + o*c**2 + j*c + h + p*c**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 898*t**4 + 5*t**3 + 9*t**2 - 1517.\nAnswer: 21552*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6035 - 4186. Let z = -708 - -2550. Let v = z + b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94372331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 60*i - 5. Let n = -75 - -76. Let c be d(n). Suppose 3*s = -5*z + 81, 0*z - 6 = -2*z. Calculate the greatest common factor of s and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*n - 14. Let k = n - 28. Calculate the greatest common factor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4872 - 4868. Solve -i*k = 5*p + 7, -33 + 21 = 3*k - 3*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.2 (c) 0.2704 (d) -0.1 (e) 2\/3 (f) -2\/9 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(12)\/(-1*sqrt(196) + sqrt(4)) - (3 + ((-2 + sqrt(243))*1)**2).\nAnswer: -246 + 215*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 19 + 71 - 20 - 16 - 13.\nAnswer: 13*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(13\/3)\/c*c**(-3) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3109063 (base 11) to base 2.\nAnswer: 10100111011110010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -38 + (4\/(12\/(-15)) - -4). Let a = 5 + -13. Let f = a - w. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(2 - 2 - 2*o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/((-954)\/1908*2\/48).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0667 rounded to three decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 14910.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(10\/3))\/r*r**(-13))**(4\/7) assuming r is positive.\nAnswer: r**(-116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 780 = 11*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6710 + -6708. Which is the third smallest value? (a) -0.068 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*z + 312 = 0, 31 - 343 = -3*h - 2*z. Calculate the remainder when h is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*i**3 - 82*i - 3 wrt i.\nAnswer: -1374*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5 - 110418*q**4 - 1655709*q**3 - 4194246*q**2 - 2648952*q = 0?\nAnswer: -36791, -12, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((-3 + 2 + 2)*(-3 + 4*p + 3) - p + 2*p + p - 10 + 10 + 9*p - 3*p + 7*p - 2*p + (4 - 2 + 0)*(-p + p - 2*p)).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389789 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11630, -32525, -67344, -116081, -178730, -255285, -345740, -450089?\n\"Answer: p**3 - 6968*p**2 + 2*p - 4665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74996 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*2\/((-6)\/3). Suppose -j*y + 22 = 2*r, -5 + 38 = 3*r + 5*y. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*c - 23*c + 58*c)*(12 - 12 + 13*c**4) + (0*c + c**2 + 0*c)*(5*c**3 + 6*c**3 - c**3).\nAnswer: 75*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187418218.88999917 + -187418217. Let a = z + -1.89. Round a to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzzwwvvztwzzvz. Give prob of picking 1 w and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (0 + (-328)\/(-4)). Let b = -46 - v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -348697780*t + 3248777?\nAnswer: -348697780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -15)*48\/10. Let d be y\/(-60)*(-10)\/(-3). Suppose -5*m - 65 = -d*p, 3*m = -0*p + 2*p - 35. What is the remainder when 28 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18 + (-39)\/(-18) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46\/19, 0.14, 3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*d*n + 2*a**3*d + 231*a**2 - 2*a*d*n + 4*a*d - 64*a + 8801*d*n - 4*d - n wrt n.\nAnswer: -2*a**3*d - 2*a*d + 8801*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*u**2 - 3)*(0*u + 5*u - 2*u) to the form b*u**3 + s*u + c + v*u**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 + 10500*t**2 - 270891*t - 281394 = 0. Calculate t.\nAnswer: -1, 27, 3474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 313 = -49. What is the smallest common multiple of 16 and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + p**4 + 5*p - 10*p + 3*p**2 to i*p**2 + l*p**3 + v + x*p**4 + z*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2438)\/14)\/(42\/(-126)). Let y = 522 - t. What is the closest to 0 in -5, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000281 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -3 + 5 - (0 - 1). Let m be 0 + ((-2)\/u - 7\/(-4)). Factor -3\/8*r**3 + 9\/8*r + m + 0*r**2.\nAnswer: -3*(r - 2)*(r + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1) + (-3)\/(-6). Let o be 4 + -10 + (-12)\/(-3). Let x be (o - -1)\/((-7)\/2). Which is the closest to x? (a) w (b) 3\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6594658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 5.496009?\nAnswer: -95.503991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - q**2 - 4*q**2 + 4*q**2 + 0*q**3. Let c be g(1). Let t be 1*5\/4*-2. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 4233426.\nAnswer: 29633982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 750?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/7)\/r**6*(r*r*r**(-2\/5)*r*r*r)**42 assuming r is positive.\nAnswer: r**(6532\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13699 - -35990. List the prime factors of n.\nAnswer: 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 q when three letters picked without replacement from yyyyyyiqylqkvi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 14 = 11. Let g = -69 - -72. What is the nearest to g in 0.2, i, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f + 4*v + 110, 7*v - 64 = 185*f - 181*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 - 8*i**4 - 33*i**3 + 33*i**3 + (-2*i**4 + 5*i**3 - 5*i**3)*(4 + 1 + 1).\nAnswer: -20*i**4 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 208*j**2 - 10388*j + 44944.\nAnswer: -(j - 4)*(j + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/75 and 71\/40?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-20) + 2 + (-42966)\/(-90) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12740 (base 14) to base 2\nAnswer: -1011000100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-70))\/((-28)\/(-98)). Let z(m) be the second derivative of -2\/3*m**4 + 0 - 9\/2*m**2 + d*m**5 - 16*m - 4\/3*m**3. What is z(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i - 12*i - 14*i)*(6 - 4 + 2*i - i).\nAnswer: -17*i**2 - 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3872480 by 968120.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 7*q - 323 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 6*v**2 + 5*v + 1. Let m be u(5). Put -5, 2, m in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:02 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:41 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m = 628 + 1996. Suppose b - 3*b + 112 = 0. What is the lowest common multiple of b and m?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 8*c. Suppose 2*p - 7 = 2*n + 13, 3*n + 3*p = 6. Let s(j) = -2*j - 4. Let a be s(-4). Sort n, a, c, 3 in ascending order.\nAnswer: n, c, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 12*q = -2. What is the common denominator of (-4 + -13)*q\/300 and -26\/33?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*8\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001011011000101 - 100010?\nAnswer: -10010001011011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-3)\/42*0\/(-2). Put -19, -1, r, 4 in decreasing order.\nAnswer: 4, r, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjtqqfqtftq. Give prob of picking 1 t and 2 f.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00796 + 0.925399?\nAnswer: 0.917439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00349948 to five dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20 - ((-5848)\/(-129))\/((-20)\/(-6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22 - -23)\/(1 + (-4)\/2). Is t > -1\/1964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*m - 1748 = -2*m, 0 = 2*f + 2*m + 876. Let k = 612 + f. What is the highest common factor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4191.105 to the nearest ten.\nAnswer: 4190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50271929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.63 - 1.63. Put c, 0.2, -4 in ascending order.\nAnswer: -4, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 4. What is l(-9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by 1.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97652*t + 97618*t = 4*g - 250, 4*g + 18 - 65 = -5*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 3135 = o. Let d = o - -2521. Suppose 4*l + 1380 - 3857 = 3*b, 3*l + 5*b = d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 + 5*t - 4. Suppose -x - 4*x + 15 = 0. Let u be v(x). Let n be (1 + 0)\/(u\/4). Calculate the highest common factor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/4 of a micrometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 + -9c?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 10*m - 2. Let y be r(5). Suppose 0*p + 4 = -4*p - 2*u, 3*u = 0. Are y and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -2\/9 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 98156.9 weeks?\nAnswer: 59365293120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) 0.01 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 11. Let f be j(8). Suppose f - 1 = q. Suppose -k - 36 = -q*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -46) + -11 + -28 + 89?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 758439?\nAnswer: -1516878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 14.3. Let o = -30 - h. Let k = 22 + o. Which is the biggest value? (a) -4 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149.8 - 150. What is the third smallest value in h, 13, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2656, -4, 0 in ascending order.\nAnswer: -2656, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15817693.\nAnswer: 97, 179, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 28 = 53*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/135 and -23\/9680295.\nAnswer: 87122655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -19*j + 13. Is h(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03504589604 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1367.\nAnswer: 3\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v + 2*v - 2*v - 7*v to the form w*v + s and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11000 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31cc (base 16) to base 6.\nAnswer: -135004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 + r. Let q(k) = 6*k**3 + 5*k**2 - 5*k - 950. Give 5*d(p) + q(p).\nAnswer: p**3 - 950","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 518 + -518. What is the nearest to m in -8\/7, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + 169*f**2 - 300*f - 592. Determine a(-58).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, m: 1, i: 1, u: 2, s: 1}. Give prob of sequence um.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844784.\nAnswer: 2, 29, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w + 1\/6*w**4 + 0 + 0*w**2 + 0*w**3. Let k(m) = 2*m**2. What is k(y(o))?\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.33333 nanograms in tonnes?\nAnswer: 0.00000000000004233333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7552672, 7552675, 7552678, 7552681, 7552684?\nAnswer: 7552687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:31 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/17472286 and -137\/463866?\nAnswer: 52416858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6262 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3\/(78\/(-2))*25\/(-350)*14?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Let h = 4.8 + -2. Let u = n - h. What is the second smallest value in 2, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.55385 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254141 is divided by 63396?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12))**(-2\/3) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, t: 5, r: 5, o: 3, v: 2}. What is prob of sequence ortr?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2625, -9228, -27185, -62172, -119865, -205940, -326073?\nAnswer: -485940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 - -1 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 9*m**2 - 7*m**2 + 11*m**2 - 13*m**2 + m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(336) - sqrt(336)*-2*-4)\/sqrt(8))\/((sqrt(726) - -2*sqrt(726)) + sqrt(12)\/sqrt(2)*1).\nAnswer: 14*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5 + 8*i + 4 - i - 3*i. Let k be y(1). Let w(b) = -b**3 + 6*b**2 - 3*b + 4. What is the smallest common multiple of 22 and w(k)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/10 and 71\/1449498?\nAnswer: 7247490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2996*y**4 + y**2 - 1506*y**4 + 709 - 1495*y**4 + 50*y**3 wrt y?\nAnswer: -120*y + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 50 + 21)*(2*i + 3*i - 4*i) + 18*i - 18*i + 14*i.\nAnswer: 66*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/305 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174 - -242. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -230230, -230232, -230234, -230236, -230238?\n\"Answer: -2*n - 230228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 39100900 to the nearest one hundred thousand.\nAnswer: 39100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 190?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4577279 is divided by 457720.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 626 + -614. Suppose -5*o + 361 = 4*b - 6*o, 4*o = q. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 1. Give o(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -14*h + 6*h. Find the third derivative of 3*t**4 - 73*t**2 - 16*t**5 + 24*t**5 - h*t**4 wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 2. Let r(i) = 3*i - 22. Let w be r(8). Suppose 3*p - 14 = 2*t + w*t, -p + 18 = -4*t. Let y be x(p). Solve -5*g = -y*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Let g be (-2993)\/(-615) - (-4)\/30. Let s = -2 - -1. Sort l, s, g in decreasing order.\nAnswer: g, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 20*p + 1. Let w be o(-1). Let r = 19 + w. Suppose -3*f + 4*l = -f - 610, r = -5*f - 4*l + 1483. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*d - 4020, -m + 1010 = -0*m + 2*d. Let s = 1413 - m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1543608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = -15*p + 372. Let y be (63\/2)\/(2 + 78\/p). Calculate the highest common factor of y and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98573 (base 11) to base 4.\nAnswer: 202323332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 8)*(-260)\/20?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 92223573*s. Let m(q) = 21046*q. What is -12*k(l) + 52585*m(l)?\nAnswer: 21034*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -62. Let w = o - -33. Solve 0*x = w*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + ((4 - 3) + -7 - (-56 + 55))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*p\/(p\/(p*p**13))))*p*p*p**(2\/3)*p assuming p is positive.\nAnswer: p**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 119*o**2 + 40*o + 5893. What is m(-119)?\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 35*c + 2*c**2 - 5*c**3 + 13 + 11*c**2 + 4*c**2. Let z(b) = -b**3 + 3*b**2 + 6*b + 2. Let w(s) = -6*q(s) + 34*z(s). What is the tens digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s - 3. Let x = 29332 - 29275. Calculate the remainder when x is divided by u(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 298194.08.\nAnswer: 298193.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49492 divided by -4094?\nAnswer: -24746\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 2822?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -51*u - 52. Let q(f) = 26*f + 26. Let s(k) = -3*h(k) - 5*q(k). What is the first derivative of s(m) wrt m?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*z + 361*z - 16 - 19 + 359*z - 15.\nAnswer: -z - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -7005\/16, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 3 + -2.\nAnswer: 1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -4) + (36 - 59) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89822, -718144, -2423596, -5744744, -11220154, -19388392, -30788024, -45957616?\nAnswer: -65435734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520296 and 213864.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16376?\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - 12?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 53. Let s(r) = 5*r - 53. Let h(m) = -5*k(m) + 4*s(m). Differentiate h(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17644 is divided by 464?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/((-12)\/((-8)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 0*k - 9*k. Let o be f(-1). Suppose h + 4 = o*h. Solve 0 = -2*x + 3*x + h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1266*z**3 - 514*z**3 - 236*z**3.\nAnswer: -2016*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21210022 (base 3) in base 5?\nAnswer: -140203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*p - 4312, -h + 58*p + 4315 = 54*p. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 12 = -11*k. Let t be 1\/k - (-141)\/12*1. Solve -4*y - 5*s = 16, 4*s + t = s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**3 - 32*s**2 + 611*s + 199. Is t(60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/12*(-181 + 1). Suppose 0 = 4*r - 7*r + b. Suppose o - 4*g - r = -0*g, 2*g - 75 = -o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18*11 - -6) + -6. Let n = d + -112. Is n bigger than 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.83 - 39.83. Let h = g - -38.8. Which is the third smallest value? (a) 1 (b) 4 (c) h (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.03789 + -0.03789. Let f = 0.05 + 0.05. Which is the closest to m? (a) -3 (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**3 - 9*k**2 - 162*k - 478. Let x(t) = -17*t**3 + 18*t**2 + 325*t + 955. Let n(a) = -3*x(a) - 5*z(a). Solve n(y) = 0.\nAnswer: -5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let q = 3 + d. Solve 0*j + 5*v - 30 = j, -j = q*v - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-14 - -20)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1635 (base 13) to base 2.\nAnswer: 110010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -87, -135, -175, -201, -207?\n\"Answer: t**3 - 5*t**2 - 42*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -313?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3))**(1\/4)\/(t\/t**10*t*t**(2\/61)) assuming t is positive.\nAnswer: t**(1397\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:14 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8860)\/(-25) + 2\/(-5). Suppose -o = -5*s + 66. Suppose 0 = -4*r - 2*t - 80, 4*r - t = -2*t - s. What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33780, -35172, -37492, -40740, -44916, -50020, -56052?\nAnswer: -63012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6320913, 12641821, 18962729, 25283637?\nAnswer: 31604545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-14) + 1\/7. Let l be 7*n*9\/9. Let g = 3 - l. Solve g = w + w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 - 105. Let q be (9\/6)\/(2\/36). Suppose m + q = 4*m. Calculate the highest common divisor of j and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 3 + 0 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -15*p**2. Let b(w) = -13*w**2. Let u(k) = 7*b(k) - 6*r(k). Let y(v) = -576*v**2. Determine y(u(j)).\nAnswer: -576*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26*s + 2. Suppose t - 2587 = -2597. Let k(r) = 13*r - 1. Give t*k(z) - 4*m(z).\nAnswer: -26*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3274 + -3275. Which is the closest to x? (a) 0.1 (b) -0.3 (c) -2\/13 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from qvjgbjkkqvqvjkk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3 = 3*l - 6, -3 = -4*p + 5*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/10 + y**4\/6 - 13*y. What is the third derivative of g(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.017 (b) -910 (c) 0 (d) 0.3 (e) -9\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*a = 206 + 78, 2*a = -2*n + 558. What is the remainder when n is divided by 139?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -11, -19, -27, -35?\n\"Answer: -8*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/677913151 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let u(k) = 15*k - 142502. Determine t(u(o)).\nAnswer: -30*o + 285004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1442 - -4?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 0)*1 - (-1 - 19). Suppose h*n - 132 = 4*n. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 3\/2 (c) 0.6 (d) 21906\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*y - 5, 3*q - 3*y + 6 = 9. Suppose q = 5*t - 453 - 562. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/10)\/((-7)\/42). Let w = -5603\/7 - -801. Which is the third biggest value? (a) y (b) 1\/2 (c) 5\/6 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -145.118787?\nAnswer: -140.118787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28.42423 and 201?\nAnswer: 229.42423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:18 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/60*3)\/((-8)\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, x: 1, g: 1, m: 5}. What is prob of sequence mm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61499?\nAnswer: 89, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 10*y + 11. Let w be c(11). Suppose -4*x + 7*f - 9*f + 9900 = 0, w = 3*x + f - 7427. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*7)\/((-226)\/6328*14).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68586612 to the nearest integer?\nAnswer: 8282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**3*z**2 + 3122286*b**3*z - 64*b**2*z**2 - 4*b**2 - 25553*b*z**2 wrt b?\nAnswer: -36*z**2 + 18733716*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*a = -81*a + 4, -f + 3*a = -10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -315*g**4 - 2*g**2*w**3 - 2*g*w**3 - 2471*w**3 wrt g.\nAnswer: -1260*g**3 - 4*g*w**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 5*s + 4. Let m be x(-2). Let b be (-2)\/m - 45\/27. Suppose -3*a = -0*a - 12. Are a and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z*z**(-5))\/(z*(z*z**(-2\/13))\/z*z*z*z**(-9)))**(-17) assuming z is positive.\nAnswer: z**(850\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + p**2 - p. Let v be m(1). Let c = -299 - -299. Suppose c = v*l - 2*o + 2, 0 = -2*l - 0*l - 2*o + 2. Solve 4*h - 5*z = 4, l = z + 3*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5059 (b) -0.1 (c) 4 (d) 4\/5 (e) -3 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*h**2 + 9\/2*h + 3 = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(873\/13192) + 74?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72 - (-76 + 50)) + -10?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b - 24*b - 238 - b**2 - 23*b. What is the lowest common multiple of 24 and f(-48)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-three eighths of a milligram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.1 (b) 162 (c) -3.6 (d) -3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2979 and 945.\nAnswer: 312795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -930020 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456137 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*k = -9, -y - 5*k = -2*y + 15. What is the units digit of (y - -3) + -2 + 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -o - 2*u, 4*o + 5*u + 7 = 0. Solve 9*d + o = 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + 2*sqrt(99))*3 - -6*(sqrt(99) + -1) - (sqrt(99) - (-4 + sqrt(99) + sqrt(99) + -2))*2)*6)**2*5.\nAnswer: -330480*sqrt(11) + 5208300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2 + (-35)\/28. Sort 2\/7, 2, -0.5, y in descending order.\nAnswer: 2, y, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + -20 + -16 - -12\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 22*k + 23. Give o(-13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h - 20*h - 26*h + (-14*h + 20*h - 14*h)*(7 - 5 - 3) as w*h + q and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3799 times 5707\nAnswer: 21680893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*o*p**3 - 2*o*p**2 + 7*o*q**2 - o*q - 4*o - 46*p**2*q**2 wrt p.\nAnswer: -9*o*p**2 - 4*o*p - 92*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a + 91 = 10*a - 155 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10)**(-17) assuming d is positive.\nAnswer: d**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 77596*z**2 + 5180976*z.\nAnswer: 4*z*(z - 19332)*(z - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = 2*t - 5*l, 0 = l + 2. Let d = 188 + t. Suppose -w + 2*w = i + 14, -3*w - 3*i = -30. What is the highest common divisor of w and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51755 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/64, 0.1, -7, 9, -1 in increasing order.\nAnswer: -7, -1, 1\/64, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27\/10 in -1, 55, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 18*r - 173. Let t be g(-25). Solve n + f = -n - 5, 0 = t*n - 3*f - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -239 (b) 2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -886225 + -2?\nAnswer: -886227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 2, -114, 199 in decreasing order.\nAnswer: 199, 2, 0.5, -3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.43 + -3.4594. Let a = -0.02 - z. What is a rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 231\/((11 - 6)\/5). Suppose -252 = 3*x - x. Let q = x + m. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144940 is divided by 6027?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, 573, 1981, 4743, 9315, 16153, 25713, 38451?\n\"Answer: 76*z**3 - 7*z**2 - z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/6)\/(y*y**(3\/7)))\/(y**(-3\/11)*y)**(-1\/3) assuming y is positive.\nAnswer: y**(-3\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4\/4 - 23695*t**3\/2 + 7020655*t**2\/4 - 11705190*t = 0.\nAnswer: -9624, 0, 7, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(-1\/3)*q)\/q)\/q)**(-5\/2)*(q**(-2\/7))**16*(q**2\/(q**(3\/2)*q))**47 assuming q is positive.\nAnswer: q**(-1249\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 583683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96411 is divided by 498.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, 2\/11, -5, 6709, -26\/31?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6049\/3807 + -77\/47. Let q(r) = r**2 - r - 7. Let w = 24 + -21. Let u be q(w). Is u less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664*z = -4850*z + 1619*z + 1630*z + 2016 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t - 25. Let u be g(-10). Suppose 0 = 4*m + 4*p + p - 133, m = -3*p + u. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g - 11. Let s(y) = -7*y + 6. Suppose -4*f = 3*u - 2, -21 = u - 7*f + 4*f. Let c(p) = u*b(p) - 11*s(p). Let z(t) = -t - 2*t + t. Calculate c(z(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-42) + 8\/14\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 2\/13, -2\/11, -1 in descending order.\nAnswer: 2\/13, -0.01, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-182196)\/(-243) - 4\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/9)\/(-1) + (-520)\/(-12) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3932, 8634, 13336, 18038, 22740?\nAnswer: 27442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.095 < -56575\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - ((-25 - -9) + -9 + 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.2 * 0.068.\nAnswer: 2.1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 144\/15 + 2\/5. Solve v = -v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:40 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -124, -298, -552, -892?\n\"Answer: -h**3 - 31*h**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*-63485.44\nAnswer: -253941.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 6. Let n be s(-5). Suppose 23 = n*i - 13. Suppose -i*q + 568 = -4*w + 16, 5*q - 702 = 2*w. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*(-4)\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {d: 4, b: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -82\/9. Put -1\/2, -4, s in ascending order.\nAnswer: -4, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 1237 = 2*m, 0 = 3*q + 2*m - 755. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**29*j**(3\/11))\/(j**(-27)*(j\/j**4)\/j))**(-6\/37) assuming j is positive.\nAnswer: j**(-3978\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 0 + (-48 - -41)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6114613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 18*n**2 - 6*n + 43. Let j be (-21)\/(-2)*2 - (-7 + 10). Let r be q(j). Let k = r + 67. Solve -2*o - 8 = 2*w, -3*o + 4*w - 2 = k*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/806 and -89\/620.\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**2 - 235*x + 59*x**2 + 235*x - 6 - 2. Let u(n) = -45*n**2 + 5. Give 8*u(a) + 5*v(a).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**46*p*p**2*p**(-5\/4)*p assuming p is positive.\nAnswer: p**(195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:39 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 10*q**2 + 18*q - 14. Let s be 12\/(-15) + (-44)\/(-5). Let p be g(s). Suppose 2*x + 138 = -3*t, -p*t + 8 = -6*t. Which is bigger: -65 or x?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*n - 354*n - 813*n + (-2 + 2 - 6)*(-n - 3*n + 3*n) - n + 1 + 3*n - n as m*n + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4088 is divided by 1384.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + 0.36. Let b = -0.3 + o. Let y(i) = i + 3. Let l be y(-3). What is the nearest to 0 in l, b, 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.99. Let v = t + 2.99. Which is the nearest to -2? (a) 0 (b) 1\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915.3 times 4?\nAnswer: 11661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(192) + sqrt(192) + sqrt(192) + 0 + -1 - -4*(sqrt(192)*-1*-4 + sqrt(192) - sqrt(192))))**2 + 4.\nAnswer: -2736*sqrt(3) + 623821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-21)\/s)\/s)**(28\/5)*s**(1\/4)*s**41 assuming s is positive.\nAnswer: s**(-1639\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 (base 10) in base 6?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 0, -2*u + 9*k - 14*k - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1825335 - -3062735. Round t to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/76 and 30671\/(-13680) + (-1100)\/(-500)?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -57*o + 55*o. Solve 0*p - 3*y - o = 3*p, -4*p + 10 = -2*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**5*q*q)**(-8)*q*q*(((q**13\/q)\/q)\/q*q)\/q*q*(q**(-1\/4)\/q)\/q assuming q is positive.\nAnswer: q**(-245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-8))\/(1\/4). Solve 3 + n = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126.8 - -127. Sort k, 1, 0.1, 2 in ascending order.\nAnswer: 0.1, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6321459 to two decimal places.\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 77?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -6087, -3 in ascending order.\nAnswer: -6087, -32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3133, -6053, -8515, -10291, -11153, -10873, -9223?\n\"Answer: 38*m**3 + m**2 - 3189*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/950 and 32\/74575?\nAnswer: 149150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46220\/20 - (-1 - 1 - 0).\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25*(-2)\/(-2) - -2. Suppose 5 = 4*q - o. Suppose 24 = 2*g - q. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(4200\/(-80)))\/(4\/54).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.67 + 4.7264. Let f = 0.1436 + t. Put -3, f, -31 in increasing order.\nAnswer: -31, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83, -162, -239, -314?\n\"Answer: c**2 - 82*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.42 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -5. Let x be -2*(r\/6)\/3. Let v(t) = 7*t**2. What is the remainder when 20 is divided by v(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-99) - (-23)\/((-1265)\/10)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 13*t + 17. Let i(d) = 6*d + 7. Determine -3*h(l) + 7*i(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4977 is divided by 1655.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 13820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 46 + 6 - -5\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l - 33. Let g(m) be the second derivative of m**3\/6 + m**2 - 14*m. Let h(d) = -2*f(d) - 33*g(d). Let x(j) = 3*j. Calculate x(h(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1032252, 4129015, 9290288, 16516071?\n\"Answer: 1032255*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:37 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**8\/56 + 29*v**6\/5 - 17*v**4\/2 - 128*v. What is the third derivative of n(y) wrt y?\nAnswer: -120*y**3 + 4176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -107*r + 237. Let p be v(2). Solve -p*u = -5*u + 54 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2232*c - 280 = 2204*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (-1*sqrt(637) + -5))*5*-1 + (sqrt(468)*-1)\/(sqrt(144)*3))**2.\nAnswer: 10525*sqrt(13)\/3 + 2326633\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 525*o + 1126*o**4 - 97*o**3 - 531*o**2 + 280*o**3 - 1129*o**4 - 174.\nAnswer: -3*(o - 58)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/6 + -4\/3. What is the nearest to 0.1 in -0.1, j, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000111 (base 2) in base 6?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85080)\/416892)\/((-8)\/(-14))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11779*n**4 - 231*n**3 - 54997385*n**2 wrt n?\nAnswer: 282696*n - 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/3)*n))**(-26)\/(n**(-2\/5))**5 assuming n is positive.\nAnswer: n**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -119, 0.56, -339\/2?\nAnswer: -339\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*-5*-2 - sqrt(931).\nAnswer: 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/15 - (-2)\/3. Let n = 509 + -510. Let m be 6\/10 + (-22)\/20 + 1. What is the closest to n in 3, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2236 + 2244 = 8*y. Let x(s) = -s**2 - s + 1. Let q(m) = -m**3 - 5*m**2 - 2*m + 5. Calculate y*q(g) - 5*x(g).\nAnswer: -g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7384.473 + 7128.47197. Let c = -466 - -210. Let i = c - u. What is i rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14055 (base 7) to base 13\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z - 71758 + 71672 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:37 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -158, -233, -288, -317, -314, -273, -188?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 631 and -6844?\nAnswer: 7475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 4. Let k(x) = x**3 + 6*x**2 + 3*x - 2. Let j be k(-6). Let i = 41 + j. Calculate the highest common factor of r and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.14 + -0.14. Let z = 51.88 - 51.84. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 24*i**2 + 2*i + 1. Let b be v(-1). Let k = b - 4. What is the highest common factor of k and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11285, -1, 2 in increasing order.\nAnswer: -11285, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 139039*y**3 - 8*y**2 + 8*y. Let t be s(1). Let n = -11679131\/84 + t. Calculate the common denominator of -71\/8 and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3586?\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 19 + 46. What is the remainder when 25 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 484*a - 5824. Give t(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (6 + 6)\/(-3). Suppose 0 = n*y + 10*y - 4320. What is the greatest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let f(c) = 17*c - 1. What is f(n) - 2*l(n)?\nAnswer: 15*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-4)\/(-1))*4\/(-8). Put i, -31, 4, 0 in descending order.\nAnswer: 4, i, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = -m + 35, 13 = 260*m - 261*m - t for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002738967 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32988 + 46721. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -19 - (-3 - 2))*-1. Let o(w) = w**3 + 11*w**2 - 25*w + 15. Let j be o(d). Factor 2\/9*u**5 - 16\/9*u + 10\/9*u**4 + 0 + 4\/3*u**3 - 8\/9*u**j.\nAnswer: 2*u*(u - 1)*(u + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 10*u = -2880. What is the common denominator of 71\/99 and (u\/20)\/(3 - (-20 + 1))?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12899*w**2 - 56114*w**2 + 27136*w**2 as f + y*w**2 + d*w and give y.\nAnswer: -16079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -4*x + 2*c, -3*c = -3*x - 2*c - 70. Let i = -492 - -492.4. Sort -5\/6, x, i, 1\/5 in descending order.\nAnswer: i, 1\/5, -5\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c*c\/(c**(-19)\/c))\/(c\/((c**(-15)\/c)\/c)*c*c\/(c*c*c\/(c*c**(-10\/3))*c)) assuming c is positive.\nAnswer: c**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1088) + -1) - (-4 + sqrt(1088) + 1))**2 + -2*2*sqrt(153)*-6.\nAnswer: -56*sqrt(17) + 17412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let i(x) = -145604*x. Give z(i(o)).\nAnswer: -291208*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.37 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -112. Let z be (0 + 1)*(17 + 4). Let s = t - z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -422 (b) 5 (c) -0.3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (6\/9)\/((-12)\/(-198)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < 44017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:50 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-724305)\/(-1688575) + 6\/(-14). Let y = k + 455529164\/337715. Let u = y - 1343. Calculate the common denominator of u and 50\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = 2*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333189?\nAnswer: 3, 37021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjhjjjj. What is prob of sequence jh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*sqrt(1053)*-2*-4 - (sqrt(1053)*-2*-5 + 0 + (-2*sqrt(1053) - sqrt(1053))))**2*-2.\nAnswer: -4652154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 1\/4, -37, 0.05, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-1 + d + 1 + (0 + 2*d + 0)*(-1 + 0 + 3) + 148*d + 30*d + 228*d).\nAnswer: 411*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/2*g**2 + 0 - 1615\/2*g = 0.\nAnswer: -323, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90645 is divided by 5332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1967428.62 to the nearest one thousand.\nAnswer: 1967000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w**2 - 6*w - 72. Let i be a(9). Which is smaller: 759 or i?\nAnswer: 759","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2566555 by 1.\nAnswer: 2566555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - -4 - (-1100 - -1166)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -46*k - 1376. Let a be c(-30). Suppose -4*h = -h - 15. Put h, 0, a, -2 in ascending order.\nAnswer: -2, 0, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*2*sqrt(171) - (sqrt(171) + 5 + sqrt(171)*-2))**2.\nAnswer: -6256 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3, f: 8, z: 3, c: 4}. What is prob of sequence zc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 93067*d**2 - 93083*d**2 + 3.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -97*q**2 + 12*q. Let m(s) = 3*s - 14. Determine g(m(l)).\nAnswer: -873*l**2 + 8184*l - 19180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/11, 2\/7, 1, 6.01, -4 in descending order.\nAnswer: 6.01, 1, 2\/7, -1\/7, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 805853 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(32)\/sqrt(8)))**2*-6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = 4*c - 116, 4*t - 33 = 2*c + 21 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45453.52 centuries?\nAnswer: 54544224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57212260 divided by 70.\nAnswer: 817318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/11 + (-5 - 0)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 - 874*u + 14280 = 0.\nAnswer: 17, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2213, -1598, 65, 3298, 8623, 16562?\nAnswer: 27637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2005, 2\/15, 3, -4 in decreasing order.\nAnswer: 3, 2\/15, -3\/2005, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v - 30. What is the tens digit of f(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 22. What is the smallest common multiple of c and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4 + 1. Suppose -4 = -x, -2*x = 5*a - x + 6. Is 7 a factor of 1 - (a + w - 25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1441190.95999978 + 1441192.76. Let b = -1.8 + j. What is b rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/743760 and -91\/288.\nAnswer: 1487520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n + 33*n - 140 = 0. Let w = n - -142. Let y(b) = b**2 - 6*b + 6. Let q be y(5). Sort -3, -4, q, w in increasing order.\nAnswer: -4, -3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1857\/4 + 457. Let i = -7 - g. Let l = 9 + -12. What is the nearest to -0.2 in l, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 4 + 4)*(1 - 1 - s**2) - 375*s**3 + 317*s**3 + 629*s**3 as z*s + x*s**3 + h + b*s**2 and give x.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 238.\nAnswer: -238.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*s + 21, -5*s - 7 + 34 = 4*q. Let h(u) = u**3 + 7*u**2 + u + 3. Let c be h(-7). List the prime factors of 2\/q*(-30)\/c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/7, 2\/1019, 0.14 in ascending order.\nAnswer: 2\/1019, 0.14, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 7*m**2 - 6*m - 5. Let b(r) = -r**3 - 3*r**2 + 8*r + 6. Let f be b(-4). Let k be f + 0 + 3 + 3. Is l(k) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -374 + 70630*a**3 - a**2 - a**2 - 70629*a**3 + 5*a - 2*a - 2*a**3 - 4*a + (94*a + 2*a**3 - 94*a)*(3 + 1 - 5).\nAnswer: -3*a**3 - 2*a**2 - a - 374","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*z - 3, 0 = 3*t + 2*z - 0 - 1. Is (-2 + 1)\/(t\/(-1335)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:31 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1156074*a**2*y + 31*a*y - 8771*a + 1 wrt a?\nAnswer: -2312148*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1388.421 to the nearest ten.\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -494 in -59, -0.1, -1, 1\/4, 2\/15?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 488*y + 11. What is the remainder when (1 - (-5)\/(-1))*-4 is divided by z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 1977018*a**2 + 173 + a - 1977022*a**2 + a + 15 in the form k*a + w + f*a**2 + l*a**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -15*s - 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 27 = -4*q. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/5, 1, 8, -1\/18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by -6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1875*y**2 - 24*y**5 + y**5 + 1882*y**2 wrt y?\nAnswer: -1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c. Let h(f) = -500*f**2. Calculate h(b(y)).\nAnswer: -4500*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077796139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eev when three letters picked without replacement from {j: 5, v: 2, e: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 969 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x. Let k(y) = -y + 7*y + 18*y. Give w(k(a)).\nAnswer: 192*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t + t. Let i = 52 - t. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.939374149 to 5 decimal places.\nAnswer: -0.93937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*l - 3*h - 18, -2*l - 12 = 3*h. Let r(z) = 3*z - 3*z + l*z - z. Let s(v) = 145*v - 145*v + 7*v**2. Calculate s(r(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 8*a - 18*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/10)\/((-56)\/(-140)))\/(494\/(-208))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r - 8. Let x be 8\/(3*(-4)\/(-42)). Suppose 8*f = 4*f - x. Let o(u) = -5*u + 7. Calculate f*o(s) - 6*b(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 16. Let n be (-2)\/a - 14\/(-56). Suppose n*d + 0 - 2\/5*d**2 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 + 2*r + 2. Let d(f) = -10*f**2 - 7*f - 6. Let p(c) = 4*c + 12. Let h(w) = -w + 4. Let n be h(8). Let s be p(n). Calculate s*d(v) - 14*l(v).\nAnswer: -2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from feofhoeooee?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*r - 15 = 0, 0 = 4*v + r + 3*r - 12. Let w be (v - (-9 + 1)) + 2. Suppose 0*b = -5*b + w. Let m(s) = -s**2 + 2*s - 2. What is m(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 264 + 104 = 11 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiiinnninn. What is prob of sequence tini?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 52. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j + j)*((-2 - 1 + 1)*(j + 2*j - 5*j) + 44*j - 527*j - 590*j).\nAnswer: -4276*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 501441*h**3 - 23425617*h**2.\nAnswer: 3008646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/1)\/(2\/(-2)). Let h = -6 - p. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -28*l**2 + 2. Let o(t) = t**2 + 9*t**2 - 9*t**2. Determine a(o(h)).\nAnswer: -28*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 4530.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/18151 and -65\/23337?\nAnswer: 163359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9132.9126 hours to weeks.\nAnswer: 54.362575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/1*17*2. Let p be 235 + (-237 - -230)\/(1\/(-1 - 0)). Let j = g + p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - n - 1. Let v be t(-2). Suppose -46 - v = -5*f - k, f = 2*k + 14. Suppose -f = -0*s - 3*s. Calculate the remainder when 11 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160*b - 35841 = -351*b + 592*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:07 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 + -1*(0 + 1) is divided by 22 + 0 + -3 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -232 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 3. Let p be v(-3). Let c be (-3)\/(-1) + (-2)\/2. Factor 2*l**c + p*l - 3*l + 6*l - 5*l + 2.\nAnswer: 2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 3954*p\/7 + 3952\/7.\nAnswer: 2*(p - 1976)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(8\/5))\/(w\/(w*w**28*w)*w))**(-2\/37) assuming w is positive.\nAnswer: w**(-306\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.73749 to one decimal place.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/438163348 and 1\/84.\nAnswer: 1314490044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2\/5 + 1614*o\/5 + 217083\/5 = 0.\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6044758, -12089516, -18134274?\n\"Answer: -6044758*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + (-2)\/3*12\/8. Let y(p) = -p**3 - 9*p**2 - 19*p - 18. What are the prime factors of y(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 96, -3\/4, 0.01, 0.2, 61\/2?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -16, -66, -1, -3, 29 in descending order.\nAnswer: 93, 29, -1, -3, -16, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 489324 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - -1 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12386?\nAnswer: 2, 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -1\/3, -130 in increasing order.\nAnswer: -130, -0.4, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/21))\/(y\/((y**10*y)\/y*y)))**(-24)*y*y**(-2\/9)*y*y*y**(-3\/4)*y**(1\/2)*((y\/(((y\/(y*y\/(y\/(y\/y**(-3\/4)))))\/y)\/y))\/y)\/y assuming y is positive.\nAnswer: y**(-32311\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43 + -1.43. Let t = u - -0.6. Let o = 2\/5 - 3\/20. What is the nearest to -0.1 in o, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -585 + 594. Solve 0 = 10*c - f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-3 + sqrt(700) - 2*(sqrt(7)*-1)**2.\nAnswer: -20*sqrt(7) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113966.019 - -114012. Let m = -0.112 - 45.888. Let v = m + y. Round v to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3888 - 1789. List the prime factors of k.\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2316 divided by 6.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a - 29*a = 15*a + 229303. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4 and 17\/550?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020 divided by -10?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1234 divided by 589\nAnswer: -1234\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65368 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) 6 (c) -255149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {t: 1, b: 2, d: 6, m: 2, u: 3, v: 6}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6. Suppose 15*f + 25 = 55. Suppose w - 4 = 0, -f*z + w - 22 = 2*w. Let o(b) = 3*b**2 - 13. Determine z*y(v) - 6*o(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:51 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 25 = -s + 2*b, 0 = 2*s - 5*b + 10. What is the smallest value in -8, -3, s, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501 or -502?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**3*x**3 + 2*u**3 + 14876*u + 18093*x**3 wrt x?\nAnswer: 6*u**3*x**2 + 54279*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(2299) - (sqrt(2299) - (-5 + sqrt(2299)*-4 - sqrt(2299)))**2) + -2).\nAnswer: 3894*sqrt(19) + 496716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = 12. Let k(m) = m + 10. Let g be k(v). Factor g*c**3 + 3*c**2 + 1 - 3*c + 6*c - 4*c**3.\nAnswer: (c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060749675 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6*9\/(-6)*2. Let s be (c + 0)*(-75)\/10. Suppose s*o = 17*o - 4. Solve 0 = -2*w + 2, -o*w = -5*d + 2*w - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28496*j + 3*j**2 + 16*j**2 + 28496*j.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + w - w**3 - w**3 + (23*w**2 - 4 + 4)*(0*w - 2*w + 5*w).\nAnswer: 67*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -20) + -9 - 2. Let n(a) = a**2 + 4*a + 2. Let f be n(0). Solve 5*q - f = -g*k, -q + k + 1 = 2*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/10)\/((-2)\/(-10)). Suppose -m*l + 32*l - 1375000 = 0. Round l to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 212136875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 m, and 1 n when four letters picked without replacement from {m: 3, n: 5, e: 8}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + ((-9)\/4 - 2))*4. Let o be -1 + (-6)\/3 + 12 + j. Suppose 3*d + 5*w = 209, 2*d - o*w + 0*w = 132. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573058973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29 + 2 + -6 - -3. Let v = -23 + c. Is 12 a factor of (-1)\/(((-5)\/24)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242426 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2. Let h(z) = 11*z - 14*z - 23*z. Calculate o(h(n)).\nAnswer: -1352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33806.13 millennia to months.\nAnswer: 405673560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-168)\/(-7560)). Solve 19*o - z*o = -2*y, -5*o - 3*y = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312436 and 87020?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*u = -16, 4*d - 4 = 2*d - 3*u. Let b(s) = -s**2 + 2*s. Let z be b(3). Let m = 3 - 3.4. What is the closest to z in d, m, -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*i - 3, -3*j - 4*i + 19 + 12 = 0. Sort 4, 1, j in descending order.\nAnswer: j, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q + 12. Let i(a) = -a - 1. Let f(x) = -3*x - 5. Let k(n) = q*i(n) + f(n). Determine k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, -1, -0.3, 16\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 1017 = 3*z + 11*f, -10*f + 1695 = 5*z. Solve 0 = -11*d + 328 - z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16860000 to the nearest 100000.\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14463 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l**0*l)\/l)))**(7\/4)*((l*(l\/l**0*l)\/l*l)\/l*l)\/(((l*l\/l**(-2\/21)*l)\/l)\/l))**23 assuming l is positive.\nAnswer: l**(920\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r - 2. Let t(a) = a**2 - 14*a - 21. Let n be t(15). Is 2 a factor of z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 87*k**2 - 121*k + 196. Does 115 divide c(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**2 + 3*t**2 - 2*t - 2*t**3 - 6*t**2)*(6 - 6 - 2*t) as r*t**3 + n + f*t**4 + c*t + l*t**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-8) + 2\/(-8). Let y = -99742 - -299228\/3. What is the nearest to y in q, -3\/2, -102?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. What is the remainder when 6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 73, 86, 101, 118, 137?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1447 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*z**2 + 67*z**2 - 33*z + 70*z**2 + 72*z**2 + 84*z.\nAnswer: 343*z**2 + 51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -873 - -1487. List the prime factors of i.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59185 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 20. Let q be x(-11). Let v(y) = -y**2 + 20*y - 24. Let n be v(17). What is the highest common divisor of q and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {v: 5, e: 3, i: 6, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c**2 + 3*c - 3. Let k(y) = 11*y**2 + 2*y - 2. Let t(g) = -4*k(g) + 3*r(g). Let x = 4 + -3. Calculate t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443072 - 443072 - 8*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 - (-1053 + 1060 - (-53 + -2 - 1)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37354945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Suppose i - 3*i + 409 = 3*j, -4*i = -5*j + 645. Let k(c) = c - j + 133. Give b(k(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 174*b - 392*b + 1 - 8 + 8 - 11*b + 0 + 0 + 2*b + (b + b + 0*b)*(5 - 4 + 1) in the form l + t*b and give t.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 + 2 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1129593092 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*t**3 - 315*t**3 + 338*t**3 + (3*t**2 - 3*t**2 - 2*t**2)*(1 + t - 1))*(4*t**2 - 4*t**2 - t**2).\nAnswer: 132*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b**3 + 8*b**2 + 8*b - 8. Let p(n) = 4*n**3 + 3*n**2 + 3*n - 3. Let i = 280 - 393. Let k = i - -116. Determine k*f(w) - 8*p(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 264, 259, 252, 243, 232?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-66)\/(-18))*((-2448)\/(-48) - 49)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34767*f**3 - 1112*f**2 - 2 wrt f.\nAnswer: -208602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 61. Suppose o + x*s - 41 = -4*s, s + 181 = 4*o. What is the remainder when o is divided by (6\/(-9))\/((-2)\/39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219136758 divided by -6?\nAnswer: 36522793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 1\/2 (c) -21 (d) -253 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y + 268. Suppose 10 = -2*c - 18. Is 13 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1677, 356, 3\/7?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 30 = -3*g + 5*v, -5*g + 60 = 5*v. What is the remainder when 49 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1759690?\nAnswer: -3\/1759690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 4*z + 5. Let r(f) = 9*f**2 - 39*f + 51. Let g(i) = 21*k(i) - 2*r(i). Find m, given that g(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173*g + 310*g - 6*g)*(3 - 3 - 1) to m + d*g and give d.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -123, -114, -97, -66, -15, 62, 171, 318?\n\"Answer: f**3 - 2*f**2 + 8*f - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 275 = 5*w, 57*r - 56*r = 4*w - 240. Calculate the remainder when 235 is divided by w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46246 is divided by 746?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, -2\/9, -1691, 0.07, 14 in increasing order.\nAnswer: -1691, -3, -2\/9, 0.07, 0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 - 2*c**2 - 2. Let v be y(-3). Suppose -j + 12 = v*j. Solve -j*o - 6 - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 90, 91, 2, -3, -101, -5 in ascending order.\nAnswer: -101, -5, -4, -3, 2, 90, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19681627 or -19681613?\nAnswer: -19681613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-109)\/4)*3\/2 - (-9167)\/(-73336).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from eieeicgcei.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 40200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 11*q**2 + 11*q - 8. Let g be x(10). Let r(j) be the first derivative of -j**2 - 5*j + 1. Let t(u) = -u - 2. Determine g*r(b) - 5*t(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2570*n**2 - 2710*n**2 + 39578 - 48649 with respect to n.\nAnswer: -280*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (280\/80 - (-27506)\/(-4))*-3?\nAnswer: 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 15) in base 7?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 + 50*s - 2. Let m be u(10). Put -5, 1, m, 2 in decreasing order.\nAnswer: 2, 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*20.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2418 < -2419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.65 - -2.65. Which is the closest to -3\/4? (a) h (b) -2 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175874127?\nAnswer: 3, 11, 13, 19, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140423802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sapa when four letters picked without replacement from spaaapsaasssssssa.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16406\/7 - -2300. Let q = p + 44. Which is the nearest to q? (a) -3 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2162492.96 to the nearest 10000.\nAnswer: -2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/70 and -43\/1400?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - g - 2. Let s be p(-6). What is the tens digit of 760\/14 - s\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 c, and 1 h when four letters picked without replacement from {c: 7, s: 4, h: 1, u: 1}.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3*x - 138*p**3 - 7*p**2*x - 24*p*x - 5*p + 4*x wrt p?\nAnswer: 6*p*x - 828*p - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1314)\/(-84660))\/((-47795619)\/(-24307776419)). Let f = -6\/20604833 + d. Let p = 7\/1091 + f. What is the common denominator of -1\/12 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 4, p: 5}. Give prob of picking 3 r and 1 n.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -1.8, -48, 5, -106?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*y + 1594 = 1603, -3*y - 19 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/105 + -67\/105. Let z be (-7)\/14*2*1. Let x be 0\/(6 + z - 2). Is c less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 + 5*d + 7. Let l(r) = r**2. Let h(c) = 5*l(c) + s(c). Let p be h(5). Suppose -4*z = -2*k - 5*z + p, -8 = -2*k - 2*z. Solve k*g = 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2236 and 157\/1248.\nAnswer: 53664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 282281223779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2137, -4018, -5899, -7780, -9661?\n\"Answer: -1881*l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/83, 0.5, -1, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 8 - (-2242)\/(-34) - (-4)\/(-68)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9530 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4851 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:51 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = 60*q + 82 + 132 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 11533576.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 386308 and 1173.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/9))\/i**11*(i\/i**(-9))**(-2\/21) assuming i is positive.\nAnswer: i**(-697\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:47 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1\/((-3)\/(-21)). Let f(h) = -v - 70*h + 65*h + 3 + 4*h**3. Let m(z) = -2*z**3 + 2*z + 1. What is -2*f(s) - 5*m(s)?\nAnswer: 2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 357823661 divided by 10259\nAnswer: 34879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139755, -139759, -139763?\nAnswer: -139767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*l + 58*l + 500. What is the derivative of l - 3*o**2 - 117*o**3 + 108*o**3 + 3*o**2 wrt o?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibbbbv. Give prob of picking 2 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4629610 rounded to the nearest 10000?\nAnswer: -4630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511924896 by -164712.\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 6*n**2 + 5*n - 4. Let m be u(-5). Let r(v) = -364*v**2 - v + 64. Let i(z) = 121*z**2 - 21. Let g(l) = 7*i(l) + 2*r(l). Is g(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8307400 rounded to the nearest one hundred thousand?\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 7*g - 5. Let k(h) = -h**2 - 7*h - 5. Let n(a) = -7*f(a) + 6*k(a). Let v(t) = t + 10. Let i be v(-16). Determine n(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Convert c36a3 (base 15) to base 6.\nAnswer: 21134200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 109*w**2 + 2911*w + 1027. Give o(61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 0, -3, -16 in decreasing order.\nAnswer: 6, 0, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fe (base 16) in base 14?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-233*t**3 + 112*t**3 + 174*t**3 + (-3*t + 4*t - 3*t)*(-2*t**2 - 1 + 1))*(4*t - 5*t + 2*t - 2)*(2 + 0 - 4).\nAnswer: -114*t**4 + 228*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 681 divide 3307981759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1406, -5615, -12630, -22451, -35078, -50511?\nAnswer: -68750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2 = s. Suppose 0 = k - s*v + 4, -2*k + 16 = -6*k - 5*v. Sort k, 0, 3 in decreasing order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4302691, 8605370, 12908037, 17210692?\nAnswer: 21513335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-28))\/((-2)\/7). Let k(p) be the first derivative of y - 6*p + 3\/2*p**2. What is k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 28561.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 18*d - 14. Let j be i(-17). Factor -r**3 + 2*r**3 + 4*r**j + 4 - 3*r**2 - 7*r**3 + 4*r + r**4.\nAnswer: (r - 2)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -623, -631, -641, -653?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {e: 3, m: 3, h: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356273?\nAnswer: 37, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69636467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -31. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 225\/4 and 55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2. Let u(m) = -25*m**2. What is t(u(g))?\nAnswer: -2500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2*g + 2*g)*(-1 - 1 + 0) - 6*g + 3*g + 2*g + 2256*g - 8478*g + 15699*g as n*g + o and give n.\nAnswer: 9480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 1 m when three letters picked without replacement from tmnudnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 2206400?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubu when three letters picked without replacement from {c: 3, e: 1, b: 1, u: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 16. Let u be l(9). Let h(r) = -r - 7. Let b be h(u). What is the second derivative of a**4 + a + 2*a**4 + b*a**4 wrt a?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229 times 0.09893\nAnswer: -22.65497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 557418 by -185806.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5556*s**2 + 5*s + 9. Suppose 5*b - 7 = 3*p, -2*b = -4*p - 0*p - 28. Let a be n(p). Suppose o + a = -0*o. What is o rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134555154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1675400, -1675926, -1676452?\n\"Answer: -526*m - 1674874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39795 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8017241 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + i**3 - 4*i + (4*i**3 - 2*i**3 - i**3)*(1 - 4 + 5) - 2*i**3 + 2*i**3 + 2*i**3)*(-i**2 - i**2 - 2*i**2).\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = -2*d, -3*q + 0 = 4*d - 10. Let x(h) be the second derivative of 4*h + 1\/10*h**5 - 8*h**2 - 4\/3*h**3 + 1\/3*h**d + 0. Factor x(a).\nAnswer: 2*(a - 2)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10937 + 10939. Solve 12*z = s*z + 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96616521 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(-3 + (-1*(sqrt(176) + -1 + sqrt(176) + 5) - (5*(sqrt(176) + 0) + 1*(-1 + sqrt(176) - sqrt(176))))))**2.\nAnswer: 8400*sqrt(11) + 216495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p + 2)*(6195*p + 3850*p - 6676*p).\nAnswer: -6738*p**2 + 6738*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*w - 21 - 4, 2*d = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/36 - i**3\/9 - 28*i. Let t(k) = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -181 (b) -0.6 (c) 9 (d) 0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -300 * -0.03\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3765 - -24302. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -9. Let b = 1 - k. Let n = 1 - -6. Solve b + n = w + 5*t, w - t = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - -2) - (-12 + -2 + -7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -47*t**2 + t. Let u(z) = 5*z. Calculate v(u(a)).\nAnswer: -1175*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 10:51 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -2922 in descending order.\nAnswer: -5, -12, -2922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17375 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 3.8. Let h = 59 + -63. Let s = h - q. Which is the closest to s? (a) -1 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -24. Find the third derivative of 12*w**6 - 5*w**6 + v*w**2 - 20*w**2 wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2548, -2535, -2522, -2509, -2496?\n\"Answer: 13*s - 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(510\/(-3400)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 11442 = 3*k, t - 5172 = 4*k - 20441. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 17*y + 2*y - 3*y - 9 in the form z + f*y and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*d - 10. Let f(v) = 38 - 45*v + 20 + v**2 + 27*v. Let i be f(14). Which is greater: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - 101*q**2 - 28*q - 295. What are the prime factors of f(27)?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 32 = -0*n. Let p be (-7)\/22 - n\/44. Sort p, 0, 0.2 in descending order.\nAnswer: 0.2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*c - 0*c. Let i = c + 7. Sort -1, 4, i in decreasing order.\nAnswer: 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 303, 628, 955, 1284, 1615, 1948?\n\"Answer: v**2 + 322*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18 - 9 + 14*p**4 - 4 - 6*p**4 with respect to p.\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7382*u + 7386*u + 2*p = 4, -5*u - 5*p = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -66. Let i = -34 + h. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120524, -120535, -120562, -120611, -120688, -120799?\nAnswer: -120950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, -0.1, -159.\nAnswer: -159, -5, -4, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**4\/11 - 24826*g**3\/11 + 308972*g**2\/11 - 1017816*g\/11 + 359280\/11 = 0 for g.\nAnswer: -2495, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 222 = -3*y, -7*g + 2*g + 5*y + 1210 = 0. 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 1617 and 124803?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(38)\/sqrt(2)*5*6)**2.\nAnswer: 240*sqrt(19) + 17116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - ((sqrt(288) - (-4*sqrt(288) - sqrt(288))) + 0)) + sqrt(288) + (sqrt(200)\/sqrt(4) - sqrt(10)\/sqrt(5)*-1)**2.\nAnswer: -48*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 875 - 875. Let r(y) = 3*y**3 + y - 3. Determine r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85812 is divided by 42880.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) 0.4 (d) 1 (e) -28 (f) 1.4969\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 - 6. Determine n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3300 divided by 660.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 94 = 2*k - 3*k, -4*r - 3*k = 121. Let a be -1 + (-1 - -1 - r). Suppose 5*q = -5 + a. Solve 0 = 2*b - q - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435312 is divided by 1533.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c. Let t(p) = 21*p. Calculate t(h(k)).\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n - o = -8, o + 4 = 2*n. Suppose 0 = 5*j - 4*g - 21 - 34, j + 13 = -n*g. Let v(y) = -y**2 + 9*y + 10. What is v(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2 - 5*q. Let d(p) = p + 2. Let i be d(4). Let j(k) = -4*k**2 - 3*k + k - 2*k - k**2. Calculate i*m(b) - 7*j(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -1433, 4, 102 in decreasing order.\nAnswer: 102, 4, 5\/2, -1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z**2 - 17*z - 2. Let c(j) = -j**2 + j. Let h(q) = 5*c(q) + w(q). Find the second derivative of h(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883125, -883146, -883177, -883218, -883269, -883330?\nAnswer: -883401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from bbbbboobbbbbbbbbbbbb.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -86.7 from 12.8872293546.\nAnswer: 99.5872293546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-5))\/(-11 - -10). Let x = 594\/7 - 604\/7. Which is the second smallest value? (a) x (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2684 = 3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -0.036\nAnswer: 0.00504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 448 = 27*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*w - 1, 0*w + 4*a = w + 19. Solve -3*l = -4*l + w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312545612 to the power of 1\/2, to the nearest integer?\nAnswer: 36229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/26, 5, -1, -2, -15, -45 in descending order.\nAnswer: 5, 1\/26, -1, -2, -15, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k**2 + 3*k + 0 + 3*k**3 + 83*k**4 + 1 - 82*k**4 as m*k**3 + x*k**2 + p*k + v*k**4 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*y + 7. Let z(o) = o + 1. Let x be z(y). Solve -x*h = h - 2*g - 14, -h + 2*g = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.51709 rounded to three dps?\nAnswer: -28.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 31*u**2 + 7946*u + 269998. Give x(-216).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -98. Put 2, 6, l, 3 in decreasing order.\nAnswer: 6, 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -34 - -48 - (-81)\/(-3). Let m = -10 - -20. Let k = m + f. What is the smallest value in k, 2\/17, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let m(j) be the third derivative of 101*j**5\/20 + 171*j**2. Calculate m(b(o)).\nAnswer: 303*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1198 - -1196. Let f = -11.96 + 12. Let d(l) = l - 1. Let h be d(3). Which is the closest to r? (a) h (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6038 - -0.5?\nAnswer: -6037.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2350167, 4700347, 7050527, 9400707, 11750887, 14101067?\nAnswer: 16451247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2542359951 to the nearest integer?\nAnswer: 50422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152 - 100 - 14 - 88?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-40)\/(-28))\/(54\/(-54)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 13*h**2 - 12*h + 2. Let m be n(-12). Suppose m*v - 16 = -4*b, -4*b - 2*v = -7*v + 12. Let k be b\/6 + 22\/6. Does k = 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3157 + -2094. Put -4, j, 4 in decreasing order.\nAnswer: j, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -479, 774, 4173, 10792, 21705, 37986, 60709?\n\"Answer: 179*c**3 - c**2 + 3*c - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3309.219ml in litres?\nAnswer: 3.309219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - (sqrt(76)*-6 - sqrt(19))**2).\nAnswer: -3211 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2636)\/(-30) + (-284)\/(-2130). Let h(s) = -s**2 + 14*s - 16. Let u be h(12). Calculate the highest common divisor of u and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9181900 rounded to the nearest ten thousand?\nAnswer: -9180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 1, n: 1, z: 2}. What is prob of picking 1 f and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + 6*sqrt(95)*5)*2*6)\/((sqrt(140)\/sqrt(28))\/(sqrt(324) + (sqrt(324) - (sqrt(324) - (3*sqrt(324) + sqrt(324)))) + sqrt(4))))**2.\nAnswer: 22254361344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 16624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k**2 - 40*k + 37*k + 46*k**2.\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/41, -3, -15894\/11 in ascending order.\nAnswer: -15894\/11, -4, -3, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121) + 5*sqrt(121))*5 - sqrt(121))\/sqrt(11).\nAnswer: 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)*(s*s\/((s**(-1\/63)*s*s*s)\/s))\/s assuming s is positive.\nAnswer: s**(-314\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1561 - -1563. What is the third smallest value in s, 24, -2\/9?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*r - 1 - 2 - 4.\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9664 + -3.7664. Which is the closest to 0? (a) 3\/4 (b) g (c) 21\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*v = 2*r - 126*v + 17, -3*v = -r - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (8 + 42 + -15)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5781 is divided by 577.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 + -39d3259?\nAnswer: -39d3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2648340 rounded to the nearest 10000?\nAnswer: -2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 2 - 2*q - 2*q**2 - 1 + 31*q**2 as t + u*q + f*q**2 and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**3*y + 161*r**3 + 167*r**2*y wrt r?\nAnswer: -12*y + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 5952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h + 0*h)*(-1 + 3 + 1)*(0*h**3 + 3*h**3 + h**3) + (h + 3*h - 6*h)*(59*h**3 + 43*h**3 + 12*h**3).\nAnswer: -192*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + -2*(sqrt(130) + sqrt(130)*3) + (sqrt(130) - sqrt(130)*2)*-3)\/(4*(sqrt(1000) + (5*-1*sqrt(1000) + sqrt(1000) - sqrt(1000) - sqrt(1000)))).\nAnswer: sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*f + 1645012, 4*t + 0*f + 5*f - 1316020 = 0. What is t rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 681028*x**3 + 5*x**2 - 11455466*x.\nAnswer: 4086168*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2322, -9622, -22280, -40692, -65254, -96362, -134412?\nAnswer: -179800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 58.195 times -0.0154\nAnswer: -0.896203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 0*f**3 - f**4 - 5 + 2*f + 7 - f**3 as o + v*f + d*f**4 + g*f**2 + t*f**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -22*s - 4. Let i(h) = -h. What is i(u(l))?\nAnswer: 22*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/5*(-120)\/(-16). Let h = 12 - b. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 15*f**2 + 15*f - 8. Let v be n(-16). Let m = 305 + v. Suppose 287 = 10*y - m. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z + 8. What is the units digit of v(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-3)*-3*2. Let g(o) = -5*o**2. Let k(u) = 60*u**2. Let l(q) = 25*g(q) + 2*k(q). Let b(t) = -t**2. Determine h*b(p) + l(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3*v + 5*v)*((5*v + v**3 - 5*v)*(0 - 5 + 3) + 6*v**3 - 9*v**3 + 25*v**3).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 4 + x + 0. Let h(m) = -m**2 - 21*m - 23. Let c be h(-20). Give g(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5581600 divided by 5?\nAnswer: -1116320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2531.8 + -2532. Which is the closest to -0.1? (a) x (b) 1.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-15 - (-1 + 5 - 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 153104 + -1?\nAnswer: 153103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v - 118 = -298*v - 1492 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2 (c) 0.5 (d) -20\/9 (e) -0.24785 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183.\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let q be (-3)\/(b + 2)*-1. Let f be 5\/(-3) - (-2)\/3. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z + 4*z - 1 + 0 + 4. Let a be x(2). Let y(b) = b**3 + 4*b**2 - b - 7. List the prime factors of y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.5 (c) 0.0518 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -5\/131, 0 in ascending order.\nAnswer: -5\/131, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 3\/(-3) - -2. Let g(f) = 17*f - 9. Is g(p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 451, -190?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -224*l**2 - 91*l. Let f(x) = -5*x**2 - 2*x. Let c = 3371 + -3098. What is c*f(t) - 6*d(t)?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -14. Suppose -2*s - s + l = 0. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 24 - -16 - (-5 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3017 = -15*x + 3062 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6393928?\nAnswer: 2, 43, 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*f + 5 = 91*f. Let n(x) = -18*x + 87. Determine n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -3.13. Let y = -3 - j. Let p = 30.5 + -30. What is the smallest value in y, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1967 + 7909\/4. Let s = q + -10. Which is the smallest value? (a) -1\/3 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 2*q + 6*q)*((0 - 2*q + 0)*(0 - 2 + 1) - q + 5*q - 3*q) + 2*q - 2*q + q**2.\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -375255.005.\nAnswer: -375254.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -12\/5*k**4 + 27\/5*k**2 - 57\/5*k - 3 + 57\/5*k**3 = 0.\nAnswer: -1, -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695117961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 4, d: 2}. Give prob of sequence od.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848*z - 425*z + 955*z**3 - 2881*z**3 - 423*z.\nAnswer: -1926*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 508. Let q(z) = -248*z**2. Determine y(q(k)).\nAnswer: 744*k**2 + 508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -190*z + 12250. Let o(f) = -26*f + 1750. Calculate -3*b(i) + 22*o(i).\nAnswer: -2*i + 1750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(170)\/(sqrt(1000)*3 + sqrt(10))))**2.\nAnswer: 100*sqrt(17)\/31 + 96525\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*h + 27, -27 = -2*h - 3*f - 4. Suppose -3*a - 4*o = -648, 0 = -2*o + 6*o - 12. Suppose -a = h*i - 536. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/15*(-60)\/8240*(-14)\/(-7).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -135*d**4 + 324405*d**3 - 324315*d**2 + 108095*d - 12010 = 0.\nAnswer: 1\/3, 2402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.081842 * 4.1.\nAnswer: -0.3355522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -180*m - 4678. Let v be c(-26). Solve 4 = -w + 2*k, -6 = v*w - 0*k - 3*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.2. Let w = 2239\/21 + -2242\/21. What is the nearest to o in -3\/2, 2\/15, w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 39*c = -32. Are -12\/2975 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18907875 divided by 3.\nAnswer: -6302625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 3*a**2 - a**2 + (6 - a**2 - 6)*(0 - 1 + 2) + 260*a - 260*a - 9*a**2 to the form w + t*a + k*a**2 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 585 + -583. Which is the nearest to 27? (a) w (b) 2\/3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 726 - 716. Calculate the greatest common factor of 32 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*f + 287*f + 3744 = 696*f - 276*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137779\/18 - 7659. Find the common denominator of v and -99\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-32)\/(-53)) + 31.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 g, and 1 p when four letters picked without replacement from {v: 6, g: 5, p: 2, w: 2, d: 3}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 - 12*w**2 = 0. What is w?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 4080*o - 832320.\nAnswer: -5*(o + 408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -64.3 (c) 5 (d) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 23. Suppose a - 2 = 7*y. Solve 0 = 2*t - t + 5*o + 22, 0 = -y*t - 3*o - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4425279066.\nAnswer: 2, 3, 13, 911, 20759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -3*s - 4*a, 3*s - 5*s - a + 143 = 0. Let d = s - 73. Let k be ((-1)\/d)\/(95\/(-12) - -8). Calculate the greatest common divisor of 102 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-15))\/(1 - (-267)\/(-265)). Let b = c + 322. Suppose 0 = 5*i - 2*m - 9, -m + 3*m - 3 = i. Solve 0 = f + i*f - b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -942*x**2 - x - 18416642 + 18416642 in the form q*x + a + l*x**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:45 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 3. Suppose 2*o = -2*o - 52. Let u = o + 8. Give r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m**4 - 72*m**3 - 30*m**2 + 11*m - 13. Let o(x) = 2*x**4 - x**3 + x**2 - 1. Let g(b) = 52*o(b) - 4*t(b). Factor g(w).\nAnswer: 4*w*(w + 1)*(w + 11)*(5*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11730218231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 take away 0.4?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -1, -4463 in descending order.\nAnswer: -1, -151, -4463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/13 + 27746*h\/13 + 3545952\/13 = 0.\nAnswer: -13744, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 9*w**2 - 8*w - 3. Let c be j(8). Let x be -1 - c - (-1 + 2). What is the third smallest value in x, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, p: 3, x: 3}. Give prob of sequence rp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 402\/4 + 2\/(-4). Suppose 5*v + 36 = 2*b + d, -2*b = 4. Calculate the remainder when (-33)\/(-2)*(-8)\/(-6) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -16. Suppose -w + u = 28. Let i be ((-3)\/18*w)\/((-1)\/15). Is i less than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:19 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {c: 5, m: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**2 - 1610109*r - 4231658 wrt r.\nAnswer: -6*r - 1610109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3339 is divided by 198?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Suppose c*d + 4*d - 3*v - 70 = 0, -5*v - 9 = -d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48353827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + d + 0*d)*(-5 + 16 + 4 + (3 + 4 - 5)*(2 + 1 - 2) - 4 + 4 + 2) in the form i*d + j and give i.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134454665, 134454668, 134454671?\nAnswer: 134454674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -7*y**4\/12 + 100*y - 1. Let c(t) = -3*t. What is c(b(g))?\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - k - 17. Let o be y(5). Solve o*w = -3*b, -b + 2*w - 12 = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - 4*s. Let d(j) = -j**2. Let x(q) = 20*d(q) + 4*n(q). Factor x(h).\nAnswer: -4*h*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.9. Let y = -1.84067 + -0.05933. What is the biggest value in 3, p, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - k - 3, -5*k - 15 = 0. Suppose -2*h + 0 + 6 = b. Suppose 4*f - 9 = -5*n, -2*f = 3*f + h*n + 5. Sort -1, -2, f in increasing order.\nAnswer: f, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.3. Let n = 54 + -53.823. Let q = n + -0.677. What is the third smallest value in q, l, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 m when three letters picked without replacement from fqmmmzmmmmzzzmmzz?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 25659*z + 33 = -25658*z, -3*i - 5*z - 17 + 63 = 0 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6380*j. Let m(i) = -3*i. Calculate m(d(g)).\nAnswer: 19140*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p + 25. Let w be b(0). Suppose a - 21 = 5*k, 0*k + w = 5*a - 5*k. Suppose 5*x - 24 = -4. Solve s + a = -x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*z - x + 2*x, 3*x - 30 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(1216))**2 + 0.\nAnswer: -16*sqrt(19) + 1214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/7 - 2*m**4\/7 - 18*m**3\/7 - 22*m**2\/7 - 8*m\/7.\nAnswer: 2*m*(m - 4)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -14 - (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.018 and -41596.\nAnswer: -41595.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.2, -0.2, -1, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 2*p - 2. What is the remainder when p is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*b + 6. Suppose 10 = b*k + 3*k. Suppose 1\/4*x**k + 1\/2*x + 1\/4 = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffl when three letters picked without replacement from aafafalafaafaaaflaf?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 199486 at least 199486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 7. Suppose 4*v - d + a = 392, 5*d - 117 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.414? (a) -2 (b) 4\/13 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) 1\/6 (c) -0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9973 - -209387\/21. Let x = z + 53\/42. Calculate the common denominator of 47\/12 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259d81 (base 14) in base 9?\nAnswer: 2383463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1938059*q**2 - 5 + 1938058*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 29 - ((-11 - (4 - 3)) + 16 - -7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0 + 37. Let v = -302 - -265. Let z = n - v. Solve -3*j - 3*t = 11 - 32, z = -j - 2*t + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - 210\/(-18) - 5. What is the closest to -5 in s, -3, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Let q be 5*(95\/25 + -3). Suppose -3*u + q*j + 12 = -u, 3*u - j - v = 0. Is u greater than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*g - 91421 - 92364 + 183785.\nAnswer: 156*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -6\/7253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226860036 divided by 16978.\nAnswer: 13362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193 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: Convert -126 (base 12) to base 5.\nAnswer: -1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 2, z: 5, v: 2}. What is prob of sequence nzn?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 1956757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-2 - -4) + -3) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89 by -645.\nAnswer: 89\/645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -36?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -x - 82, -2*x - 24*u - 11*u = 704 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 0*w**4 + 0*w + 0*w**3 + 3 + 1\/5*w**5 - 1\/2*w**2. Find the second derivative of j(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 2 = -2*y - 14*w, -4*y - 4*w = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17*o - 249. Give y(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*o + 15, 5*s + 30 = 7*s + 4*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 6}. Give prob of sequence prr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**3 - 20*i**3 - 50*i + 50*i.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 6*m - 3. Let y be x(-7). Suppose y*r - 3*a = 68, 0 = -r - 3*a + 1 + 1. What is the greatest common factor of 112 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -731181*p. Let s(v) = v**2. Determine s(z(u)).\nAnswer: 534625654761*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 59, 121, 219, 359, 547?\n\"Answer: q**3 + 9*q**2 - 2*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 548 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287\/65 + -34\/13. Suppose 3425*h - 96 = 3393*h. What is i in 12\/5*i + 6\/5*i**2 - 12\/5*i**h + 3\/5*i**4 - g = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176279 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263640 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkkke. Give prob of sequence ke.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64380 + -3476761\/54. Let r be 4\/54*102\/12. Let y = l + r. Calculate the common denominator of 27\/10 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/2)\/((-18)\/(-3984)) - 5. Let t = -330 + i. What are the prime factors of t?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 5*g - 22, i + 1444*g - 1443*g = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -776 - -778. Solve 4*h - 4 = -2*j, -2*h + j = 4 + g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335415.\nAnswer: 3, 5, 59, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-14) + 1 + (-347461893)\/(-7). Suppose 4*i - h - 54762587 = 0. Round i to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 25*i + 9. Is 7 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - 5 - (-75)\/(-8) and (-46)\/8 + (-2)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 - 117*k**2 - 240*k**2.\nAnswer: -341*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -243*f**3 + 641412*f**2 - 471918540*f + 106131297696 = 0. Calculate f.\nAnswer: 4714\/9, 1592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 15*u + 230. Let j be l(10). Sort -4, 5, j, 6 in descending order.\nAnswer: 6, 5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaippaapaii. What is prob of picking 2 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-10.2.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1136 and -139\/1704.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 - -5. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y + 18*y + 5*v + 34, 27 = 3*y - 5*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86917544.\nAnswer: 2, 7, 607, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 6. Let f(h) = h - 1. Let b(a) = -a - 8. Let w be b(-9). Let j(k) = w*f(k) + d(k). Let g be j(-5). Solve -10 - g = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*h*o**4 - 3*h*o**2 + 8*h + 3*o + 167 wrt o?\nAnswer: -504*h*o**3 - 6*h*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 72, 0, 2, 6, 24 in increasing order.\nAnswer: 0, 2, 3, 6, 24, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/40 + 9\/40. Is k at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*o - 1736 = -2*o - 1704, 3*o = 2*j - j - 57 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 24 = -9*k - 5*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 10. Let h be k(3). Suppose 6*a = h*a + 1. Sort -3, a, 1 in increasing order.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 28*u**2 + u + 1. Is g(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.8 + -29. Let k = 2.2 + s. Let w be 5\/3*(-2 + 5). Which is the closest to k? (a) -0.1 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygy. What is prob of picking 1 g and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**4 + 3*m**3 + 17*m**2 - 9*m + 10. Let v(p) = -p**4 + p**3 + p**2 + p + 1. Let d(z) = 2*q(z) - 10*v(z). Find g such that d(g) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*c + 55 + 3 = 0, -2*p - 3*c - 12 = 0. Solve -k + 11 = -2*x, 3*x + p + 11 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 2. Let h be d(2). Suppose -7 = h*v - l, 5*l + 34 = -4*v + v. Let x(i) = 6*i + 3. Let a(t) = 7*t + 4. What is v*a(c) + 4*x(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 6*d - 68, -d + 33 = -3*y - 0*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.16823 to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h - 8. Let d be i(0). Let c = -4 - d. Solve -p = c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001564 (base 9) to base 14\nAnswer: -dc173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(-6)*26\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 4*i**4 + 10)*(3155 + 32*i - 3155) + 0*i - 3*i + 2*i**5 + i + 0*i + 0*i - i**5.\nAnswer: 129*i**5 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let i(z) = 4*z - 21. Determine -i(c) + 6*n(c).\nAnswer: 2*c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d + 164 = 2*t, 22*d - 5*t + 71 = 24*d - 0*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v**3 + 0*v + 1\/20*v**5 + 0*v**6 + 4*v**2 + 0*v**7 + 0 + 0*v**4 + 1\/336*v**8. What is the third derivative of f(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 53*s**2 - 3*s**2 - 68*s**2 + 6*s**2. Let d(w) be the second derivative of w**4\/3 + w. Give a(d(t)).\nAnswer: -192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sje when three letters picked without replacement from jrzedes.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - (sqrt(130) - (sqrt(130) - 1*sqrt(130))*2)) + sqrt(130))\/(-5*1*sqrt(10) - sqrt(10))*4.\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 0*d + 2*d - 3. Suppose -2*n = -3*n + 8. Let j(v) = 13*v + 21. Let f(p) = 20*p + 31. Let b(t) = n*j(t) - 5*f(t). Determine -2*b(c) - 9*k(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(2\/3))\/t)\/t)**(-2\/19)\/((t\/(t*t**1)*t)\/t)**(-9)*(t\/(t\/(t\/(t*t**(2\/5))))*t)**(-1\/5)*t\/((t*t**(-1)\/t)\/t)*t**(-4) assuming t is positive.\nAnswer: t**(-14371\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -117274439 and -0.4.\nAnswer: -117274439.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**2 + 115*l - 76. Let m be k(-15). Which is the third smallest value? (a) -6 (b) 3\/4 (c) 0.08 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 48, 56, 64, 72?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + a + 2*a)*(3*a - 2*a - 3*a) + a + a**2 - a + 4*a**2 - 5*a**2 - a**2)*(91*a**3 - 8479*a + 8479*a).\nAnswer: -455*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**2\/6 - 16*k\/3 - 11\/2 = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.2 smaller than 532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17 + -4 - 10)*1658\/6?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405214932 - 405214932 + 1425*t.\nAnswer: 1425*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 + -1 - -6. Suppose -2*p + 154 = 12*p. Calculate the remainder when p is divided by -2 - 1*(-2 - g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 25, 0.2, 3\/965?\nAnswer: 3\/965","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51, -46, -271, -630, -1129, -1774, -2571, -3526?\n\"Answer: -y**3 - 58*y**2 + 84*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from {t: 7, b: 6}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*w + 13*w**3 - 9*w**2 - 13 + 10*w - 17*w**3 + 12 + w in the form o*w + p*w**3 + x + h*w**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*p**2 - 200*p**2 + 12*p - 5*p**3 - 3*p**3.\nAnswer: -8*p**3 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + (-70 - -134) - (6 + -3 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 641, -4, -8.\nAnswer: -70, -8, -4, 641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 2\/6481273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 112*h + 33. Let j(v) = 37*v + 11. Let f(p) = -2*b(p) + 7*j(p). What is the hundreds digit of f(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13959339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 0.5 (b) -13 (c) 31 (d) 19\/5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (63\/15)\/((-2)\/(-50)) - 2. Let w = 247 - m. Let v be (-5)\/(-3)*w\/40. What is the highest common factor of v and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooaofogfggmfgg. Give prob of sequence gggg.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 959615.6?\nAnswer: 959615.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 29. Let q(r) = r**2 + r - 2. Let v = -3 + 1. Let g be q(v). Solve l = i - g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from jjjjrjrjrjjjrjjr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*x**2 - 26*x + 84*x**2 - 118*x**2 + 1 in the form a*x**2 + g + n*x and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 73*b = 70*b + 29, 0 = b + 1. Suppose 29*m = 37*m + d. Let i = -4.91 - 0.09. Sort 4, i, 0.3, m in decreasing order.\nAnswer: 4, 0.3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppu. What is prob of sequence pup?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701 = 35*k + 1261 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 10. Let s = -14 - z. Suppose 6*w = w - s. What is the nearest to -4 in w, -0.2, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 653 - 1443. Let w = k - -1887. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*p**3 + 127*p wrt p.\nAnswer: 414*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 18 = 2*f. Let v be f\/15 - 0 - 6471\/(-5910). Let p = 1\/197 + v. Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*y + 52*y = -904. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5256 and 5402?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from vdaavaevad.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(1\/(1 - -151)). Let o = 387 + x. What is the remainder when o is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c = 4*a + 14, 10 = -c + 4*a. What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 - 6*k + 1. What is the units digit of h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 347.5 + -347.4. What is the nearest to z in 2\/17, 1\/7, 34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16715, 33442, 50185, 66944, 83719?\n\"Answer: 8*k**2 + 16703*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 126*k**3 + k**2 - 1. Let d(l) = -2*l + 19. Let r be d(8). Suppose 2*o + 5 = -r*a, -o - 3*o = 16. Is 42 a factor of q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*f = 671, f = -4*w - 4*f + 559. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 66. Calculate the common denominator of 37\/11 and (-199)\/v - (-76)\/19.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.7. Let v(g) be the second derivative of g**4\/12 - g**3\/3 + 5*g**2\/2 - 4*g. Let p be v(0). What is the smallest value in j, p, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**3*m + 2*h**3*u**3 + 7*h**2*m*u**2 - 2*h*m**2*u**2 - h*u + 6*m**2*u**3 wrt u.\nAnswer: 12*h**3 + 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.812*-4.169.\nAnswer: -3.385228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193.636 + -194. What is n rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 151*u + 17*u)*(-u + 8*u - 3*u) - 17*u**2 - 11*u**2 + 2*u**2.\nAnswer: -578*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)\/(i\/i**(1\/3)))**(-46) assuming i is positive.\nAnswer: i**(598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118451607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-122)\/(-4) + 7\/14. Suppose 0 = -7*f + 360 - m. Let b = 9 + f. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25131670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/10)\/3 - ((400488\/185)\/(-82) - -77)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259 + -84. Let z be 198\/(-27) + 4\/3 + -6. Let p = z + b. List the prime factors of p.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(495) + 3*sqrt(495)*-6 + sqrt(495))\/(sqrt(11) - sqrt(66)\/((sqrt(24)\/sqrt(4) + sqrt(6) - sqrt(6)) + sqrt(6)) - sqrt(11))*1)**2.\nAnswer: 737280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**4 + 2 + 4*m + 0*m**3 + 0*m**2 + 4\/5*m**5. Differentiate p(i) wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 + -77. Let h = -7 + t. What is the greatest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6103, 31, -16 in increasing order.\nAnswer: -16, 31, 6103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 695, 790, 561, -100, -1301, -3150?\nAnswer: -5755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/435919 and 32\/297.\nAnswer: 11769813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 184854\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 321888.9 months?\nAnswer: 26.824075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -133855506945 and 0.3.\nAnswer: -133855506944.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**2 + y**2 + 4*y**2. Let w(k) = 4*k. Determine b(w(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2731*g = -2729*g + 14. Sort g, 1, 5 in decreasing order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6784816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)*d)\/(d\/(d*(d**(6\/19)*d)\/d)))**(-16\/7) assuming d is positive.\nAnswer: d**(-3408\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8555.4 and 835.\nAnswer: -7143759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52)\/sqrt(4) - sqrt(13)) + -4 + -2 + (sqrt(13) - ((3 + sqrt(1053) + sqrt(1053))**2 - sqrt(13))) + ((sqrt(91) + -1*sqrt(91))\/sqrt(7))**2.\nAnswer: -4229 - 106*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 191*s - 83*s + 3 - 108*s - s**2 - 4*s**2. Let h(r) = 4*r**2 - 3. Let y = 4 + -9. Calculate y*c(d) - 6*h(d).\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2822 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 + 1 = 0. Let w(x) = -2*x**v + 2*x**2 + 5*x**3 + 24*x**3 - 4 + 3. Calculate the remainder when w(1) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-240)\/18))\/((-6)\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 2. Let r(b) = 7*b - 118. Let c(n) = -5*l(n) - r(n). Calculate the remainder when c(-17) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:12 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2025 to 3 decimal places.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -251.3 times 22100\nAnswer: -5553730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let i(x) = -x. Suppose d - 4*d = -12. Let o be (d\/6)\/((-6)\/9). Let q be o\/(-4) - 50\/8. Determine q*k(c) + 13*i(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 7384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36329 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4837 or -4836?\nAnswer: -4837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-28)*(-95)\/20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1274*-2\nAnswer: -0.2548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14978619.1 rounded to the nearest 10000?\nAnswer: 14980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, -3, -2, -9, -2241, -1 in ascending order.\nAnswer: -2241, -9, -3, -2, -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 15, 7, -4, 553, 0 in increasing order.\nAnswer: -4, -1, 0, 7, 11, 15, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and 1.3.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:46 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 + 244 = 19*d + 180. Suppose 2*h = -3*h - 2*y + 613, 2*h = -2*y + 250. Calculate the greatest common divisor of h and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 42 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/60 + b**5\/30 - b**3\/3 + 9*b**2. Let r(q) = -8*q**3 - 9*q**2 + 9. Calculate 9*d(t) + 2*r(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342 + 333. Suppose -22 = 4*i + 2. Let r = i - f. Solve -r*j + 0 = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 47 = x - 61, -19 = 3*j - 2*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -133937 divided by -5\nAnswer: 133937\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**3 + 7*q**3 - 6*q**3)*(24*q + 281*q + 4*q) in the form j*q**3 + k*q + i + m*q**2 + y*q**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -360093467 divided by 1?\nAnswer: -360093467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994465.\nAnswer: 5, 11, 36263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) -2\/11 (c) -1286 (d) 49 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2812*o - 16. Let c(r) = -8409*r - 45. Determine -4*c(l) + 11*x(l).\nAnswer: 2704*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 10) + 8 + (1 - -1) + 18 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15138 is divided by 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from llflykyfkkylf?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 6006?\nAnswer: -18018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 7*z**5 - 3*z**5 + (-4 - 3 + 5)*(-2 - z**5 + 2) - 31*z**5 + 5*z**2 - 2*z**2 - 5*z**5.\nAnswer: -32*z**5 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(12\/11)*i)**(-24)\/(i**(-2))**(-6\/5) assuming i is positive.\nAnswer: i**(-2892\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6757.396 millennia?\nAnswer: 81088752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - 2*m - 2*m)*(-1 + 3 - 1) - 3*m - m + 0*m - 1 + 1 + m)*(0 + m - 5 + 4).\nAnswer: -5*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*l = 18, 4*w + 54 = 15*l - 16*l for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2) + -24 + 80. Calculate the highest common divisor of 24 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/14, 2\/3, -0.011, 3\/17?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1126*f - 53378*f - 200352*f + 20537*f.\nAnswer: -232067*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(1\/4)*t))**(1\/2)\/(t**(2\/5)*t*t)**7)\/(t**(-6)\/(t*t*t\/(t*t**(3\/8)*t*t))*t\/t**6*t**(2\/17)) assuming t is positive.\nAnswer: t**(-2267\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s - 8. Let q(l) = -10*l + 7. Let w(k) = 7*q(k) + 6*t(k). Determine w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3 - 0) + -3)*-1. Determine c so that 1\/4*c**2 - 1\/4*c + 1\/4*c**3 - 1\/4*c**4 + a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - -108. What are the prime factors of f?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 + 128. Let l = 0.1 + -0.3. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.023 + 0.223. Suppose n + 2 = -0. Suppose 2*v + 16 - 6 = 0, -5*a = v + 10. Sort a, n, c.\nAnswer: n, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*i + i, -4 = 4*b. Suppose 5*p - r = 229, -29 = -p + r - 5*r. Suppose 62*f - p = 57*f. Solve -i*k - 12 = -f*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 2, g: 5}. Give prob of sequence gn.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1349.744 + -1410. What is z rounded to one decimal place?\nAnswer: -60.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 c when three letters picked without replacement from {b: 1, q: 2, n: 1, c: 2, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16632 - -0.4.\nAnswer: -16631.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -229, -316, -381, -418, -421?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 - 541*c + 541*c - 22 + 23*c**3 - 21*c**3 - 2*c**2 in the form w*c + x*c**4 + d + f*c**2 + a*c**3 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**6 - 27*a**3 + 4*a**2 - 11.\nAnswer: 360*a**3 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Solve 3*y + 4*n - 12 = -y, 5*y + g*n = 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3418*a**4 - 16 + 3417*a**4 - 2 + 48*a**3 + a to the form s + f*a**4 + n*a + l*a**3 + z*a**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*u**3 + 0 + 0*u**2 + 0*u = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74820 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6471 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*t - 2*m, 0*t - 3*t - m - 9 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 8862750?\nAnswer: 62039250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 5, d: 1, f: 5, j: 1, r: 2}. What is prob of sequence uj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9230\/1189 or 7?\nAnswer: 9230\/1189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:59 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -873, -1745, -2617?\nAnswer: -3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -4, -1, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 29 = -267. Suppose -y - 3*u + 94 = 0, -y = 5*u - 16 - l. What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 9*v**2 - 2*v - 13. Suppose -4*j = 4*g + 3 + 17, 3*j + 43 = 4*g. Let k be p(j). Suppose -535 = -k*d - 95. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72136.1 years in centuries?\nAnswer: 721.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)\/(1\/(-4)). Suppose -5*l - q = -3*l, -29 = -5*k + 2*l. Sort 0, -2, k in decreasing order.\nAnswer: k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 46 = -34. Calculate the remainder when 28*(4\/i + 8) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5 - 3 - 1 - 3 - 38*h. Let b be a(-1). What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 41. Let c be (6\/(-18))\/(5\/3)*-5. Let n(b) = -b + 1. Give c*k(u) + 3*n(u).\nAnswer: u - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-3\/4)))\/o**6)**(-41) assuming o is positive.\nAnswer: o**(861\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 78 - 34 = 0. Solve y = d + 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51\/4 + 12. Suppose 806 = 5*o + r, -3*r - 822 = -2*o - 3*o. Let s be 20\/(-110) + o\/165. Which is the closest to -1? (a) 1 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 3*j - 8. Let r be k(5). Let p be 0 + 0 + (-18)\/r. What is the derivative of -a - p + a - 4*a**2 wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/11)*i*i\/(i\/(i**(3\/5)\/i*i)))**(2\/25)*(i**(-3\/5)\/i)\/i**(2\/7)*(i\/(i\/((((i**(-7)*i)\/i)\/i)\/i)))\/(i**(-2\/11)\/i) assuming i is positive.\nAnswer: i**(-91258\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = 219 - 131 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68*b + 446*b + 230*b - 646 + 35*b wrt b?\nAnswer: 779","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3383*l - 10138. Determine z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 5*r + 5*r)*(149 - 1 - 85)*(0 + 2 + 0) in the form t + a*r and give a.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.41 in 2\/5, 0.1, 0, 5, 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1239 = -24*s + 1353. Calculate the greatest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 35\/(-9))\/1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y**2 + 30*y**2 - 58*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0, 16 in descending order.\nAnswer: 16, 0, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/1)*-1*28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(405)\/sqrt(9) - (((sqrt(35)*2)\/sqrt(7) + sqrt(5) - sqrt(5)) + sqrt(5) + sqrt(5))))**2 + (-4*(-5 + sqrt(20)) + -4)**2)*-4.\nAnswer: -3024 + 1024*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 268719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a century in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + c - 2)*(-1734*c**3 + 892*c**3 - 1029*c**3).\nAnswer: 1871*c**4 + 3742*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012694055 rounded to four decimal places?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198801873.\nAnswer: 3, 29, 239, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-3 + -4 - -6 - 8)) + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - z + 10*z)*(-2 + 1 + 3 + (-3 - 2 + 3)*(-1 - 3 + 2) + 0 + 0 + 2 - 1 - 1 + 4).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.3 (c) 0 (d) 4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -437303862423 and 0.37.\nAnswer: -437303862422.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a + 0*a - 564 = -19*a. What is the highest common factor of 66 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 4\/41 (c) 1\/48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5874 + 31158 - 197554 = -1934*x for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 76.6 and 2?\nAnswer: 74.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12\/13 - 326\/325. Let p be (-12)\/(-30) - (-96)\/(-165). Which is the closest to 2? (a) p (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-33))\/((-40)\/528).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345 + 579. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**7\/315 - j**6\/90 + j**4\/18 + j**3\/9 + 5*j**2. Let r(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/21)\/t**(-7)*((t*t**(-2\/21)\/t*t)\/t*t)\/(t*t**(1\/3)) assuming t is positive.\nAnswer: t**(136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916294459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (291*g - 665*g - 545*g)*(6*g - g - 2*g) to the form x*g**2 + w + c*g and give x.\nAnswer: -2757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25890000?\nAnswer: 2, 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6.24?\nAnswer: -6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 25.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 5 (c) 1.313 (d) 13\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 + 156. Solve r + j = -2, -7 = n*r + j + 2*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 2 - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 + 41747*u - 2 - 41753*u + 4*u**3 - 155*u**2 to z*u + m*u**2 + i*u**3 + f and give m.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 48. Suppose -48*t = 271 - 103 + 312. Is o < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g = -85*g - 20. Suppose 5*s - 3*h + 5 = h, -2*h = -10. Let a be (-8)\/(-14)*s\/4. What is the biggest value in g, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2025, 297.\nAnswer: -2025, 15, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {n: 5, m: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(0 - (-5 + 3)). Suppose v + 8 = -c*u, 0 = -0*v - 3*v - u + 9. Suppose v = -2*k + 6*k, k = 3*t - 59. Which is greater: 17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*-5 + 0 - -1. Let u be (-8)\/(-28) - 10\/i. Is 7 a factor of -26*(0 - u\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.2, 5\/4, -4\/7, -166?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15452.84 to the nearest one hundred.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/((-3*56\/96)\/((-2562)\/(-976)))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 2. Let k be j(-2). Suppose k*z = -5*z + 330. Calculate the greatest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.3. Let k = -4.338 - -0.028. Let h = k + 0.31. What is the second biggest value in p, h, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85058 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 0*i**4 - 2*i**4 + (2*i - 4 + 4)*(2*i - 2*i - i**3) + i**4 - 2*i**3 + 2*i**3 + i**2 - i**2 + i**4 + (-i - 2*i + 4*i)*(2*i**3 + 0*i**3 - 4*i**3).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8244 is divided by 633?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = 5*u - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(51)\/sqrt(3) - sqrt(17))*4)*4)**2 - (sqrt(170)\/(-2*sqrt(5)))\/(2*sqrt(32)))*1.\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150643 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 = 38*c - 128. What is the remainder when 69 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406 by 38.\nAnswer: 203\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1043 + -2781. Let v = -38229\/22 - m. Calculate the common denominator of (6\/16)\/((-3)\/(-122)) and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100 (base 2) in base 7?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1224\/108 + (14 - 25)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240158 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + n**4 + 3 + 4*n - 5*n to the form a*n + d*n**4 + j*n**2 + m*n**3 + l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1674, 1676, 1678, 1680, 1682?\n\"Answer: 2*h + 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g - g - 2*g + (-3 + 3 - 1)*(-2*g + 2*g + g))*(-g**3 - 4 - 25*g**2 - 2*g**2 + 0*g**2) to j*g**3 + v*g**2 + f*g**4 + l + t*g and give j.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, u: 5, m: 5, r: 3}. Give prob of picking 1 d, 2 m, and 1 u.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3208 + 3208. Solve -3*q = -4*o + 22 - 5, z = -2*o + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*d - 2*d - 5*p, 16 = -d - 3*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*f - 11*f**3 - 30*f)*(3 - 4 + 3)*((1 + 2 - 1)*(2 - 3 + 2) - 1 + 4 - 2).\nAnswer: -66*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 4*w**2 - 69*w + 269. Give b(6).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 41301 and 832304055.\nAnswer: 832345356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 2)\/((-1)\/(-4)). List the prime factors of x + (6\/2 - 1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 1200. List the prime factors of (-5 - k)*(-4)\/12.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 + -192. Suppose -a + 40 = n*r, -a + 2*a - 2*r = 5. Factor -9\/2 - 3\/2*s**4 + a*s + 9*s**3 - 18*s**2.\nAnswer: -3*(s - 3)*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 26*h - 208. Give r(-18).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 equal to -1\/172353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-24)\/54)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5*2\/5)\/((-2)\/(-5)). Suppose 1143 = 3*p - 4*n, -n + h*n + 1905 = 5*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 500 - 501. What is the second smallest value in a, -3, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12324*a + a**3 - 21769*a - 8251*a.\nAnswer: a**3 - 42344*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1371*g**2 - 653*g**2 - 635*g**2 - 694*g**2.\nAnswer: -611*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -4*k. Is (k - -2) + 2 + (-270)\/(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 188, 410, 720, 1118, 1604?\n\"Answer: 44*l**2 + 2*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 2*g + 18, -5*k - 235*g = -238*g - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145614757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-144 - 2*h + 86 + 79)*(0 + 4 - 3 + (-1 + 4 + 0)*(-4 + 1 + 2)) to v*h + q and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 h, and 1 y when four letters picked without replacement from {x: 2, h: 5, e: 5, y: 1, z: 2, s: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*q + 4, -2*l = 2*l - 2*q. Let b(z) = 2*z**2 - z**l + 5 - 3*z**2 + 3*z**2 + 3*z. Is b(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v**2 + 11*v**2 - 9*v**2 + 13*v**2 in the form a*v + f*v**2 + t and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 45290748325?\nAnswer: 45290748325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -600 + 264. What is the smallest common multiple of y and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2831, -5205, -7579?\nAnswer: -9953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 79.0013. What is o rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o + 2. Let j be l(2). Let t(m) = -73*m**2 - 10*m - 2 + 37*m**2 + 35*m**2 + 3. Let x be t(j). Solve 5 = 3*w - 5*f - 4, 4*w + 3*f + x = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1655, 6597, 14797, 26237, 40899, 58765, 79817?\nAnswer: 104037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -396 + 554. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-6)\/(-16)). Suppose 0 = 6*i - z*i - 10. Suppose i*d - 188 = 172. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let n be (9\/3)\/(-3 + 4). Calculate the highest common divisor of n and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1768 and 33\/136.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8684796 at least as big as -8684799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 63 = 4*w - 89, x = w + 46. Suppose -4331 - 18391 = -x*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54776005877.99999089 - -54776006136. Let f = g - 258. Round f to 7 dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**5 + 335*w**5 + 74*w**5 + (3*w - 4*w - w)*(2*w**4 + 7*w**4 + 0*w**4).\nAnswer: 399*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from ddouuuzuouuddu?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**3 - 7*v**2 + 4*v + 16. What is o(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(52\/(-117) - -1*78\/54). Let w(s) be the third derivative of 0*s - 1\/420*s**7 + 0*s**4 + 20*s**2 - 1\/60*s**6 - 1\/30*s**5 + 0*s**3 + p. Factor w(g).\nAnswer: -g**2*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 251315, 502563, 753815, 1005071, 1256331?\n\"Answer: 2*d**2 + 251242*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 4*j - 4*j + 7*j to o + l*j and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2432 + -1729. What is the remainder when r is divided by 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-105)*(-1)\/2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168380504.7094 - -168217121.9. Let g = z + 163389.50940039. Let c = g - 6.7. Round c to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/14, -2, -3, 22, 0.4, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*k = 43*k - 111*k + 3993 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 2}. What is prob of picking 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 s when four letters picked without replacement from ssnssssnssnssss.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 26 - c**2 - c + c**3 + 0*c**3 + 0. Let t be j(0). What is the highest common factor of t and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcdcoccddddzcdaddc. Give prob of picking 1 a, 1 o, and 2 d.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = c + 4*i, -5*i + 12 = -4*c + 3*c. Suppose -k + 54 = a, -3*k = -a + c*a - 158. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/7 (b) -4\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 1:07 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + n = -2*n + 8, 0 = 2*b + 4*n - 12. Sort b, -1, 4.\nAnswer: -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636188370.\nAnswer: 2, 5, 31, 149, 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = p, 5*a + 2*p = 7*p - 10. Which is bigger: a or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -2 - -3)*-4. Let h be (-4)\/(-40)*f - -3. Sort 3, 13\/3, h in descending order.\nAnswer: 13\/3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*l + 3*u - 10, -5*l = -5*u + 25. Suppose -o + 21 = -4*o. Let y be (-3 - -1) + l - o. Calculate the greatest common factor of y and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26bb - -1143c?\nAnswer: ba51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 103?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 7095\/231 - (-8 - 11).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*r**4 + 7*b**3*r**2 - 48*b**2*r**4 + 4*b**2 wrt r?\nAnswer: -24*b**3*r - 1152*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 9*z**2 + 23*z**2)*(-3 - 1 + 2).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**4 - q**3 + 377*q**2?\nAnswer: 432*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.58, 0.4, 279.\nAnswer: 0.4, 20.58, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -15 - (-30 + 18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + 15*y + 304. Let i be m(-7). Let h(t) be the second derivative of 9\/4*t**2 + 1\/16*t**4 - 13*t + 0 - 7\/8*t**i. Factor h(f).\nAnswer: 3*(f - 6)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/sqrt(7))\/(sqrt(108) + sqrt(108) + sqrt(108)*4 + sqrt(108) + sqrt(108)) + 2.\nAnswer: sqrt(5)\/24 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*l + l + 1394, -l = -s + 350. What are the prime factors of (l\/14)\/((-19)\/133) + -1?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from asxmsmmm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -196*r - 44. Let d = 9 + -3. Let g(v) = 13*v + 3. Let q(a) = d*m(a) + 88*g(a). What is the units digit of q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 96 (c) 20 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**9\/60480 - r**8\/8960 + r**7\/3360 - r**6\/2880 - r**4\/12 - 4*r. Let l(t) be the third derivative of z(t). Factor l(m).\nAnswer: m*(m - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*z + 116*z**3 - 178*z**3 - 706*z + 1413*z.\nAnswer: -62*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74140 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*x - 3120000 = 105*x. Suppose -520000 = -2*a + 5*o - 4*o, -3*a + 5*o + x = 0. Round a to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/7 - 84318354*j**2\/7 + 84637890447957*j + 2369862281636652\/7.\nAnswer: 3*(j - 14053061)**2*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let m = k + -1. Suppose 0 = t - f - m, -4*t = -t - f - 11. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - -1010101100111000?\nAnswer: 1010101100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6986 = -13014. What is d rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421211 (base 5) to base 13.\nAnswer: 105b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bknqkeg. Give prob of sequence bg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czcz when four letters picked without replacement from {z: 17, c: 3}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.004 + 1.004. What is the third biggest value in 2, 5, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w + 2. Let f be z(0). What is the second derivative of -2*m - m**2 + f*m**2 - m**2 - m**2 wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741 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: Let q(y) = y. Let z be q(-4). Let f = z + 1. Suppose -110*o - 22 = -88*o. Which is greater: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*k + 724 - 2284 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g + 47 + 40 = -4*c, -c = -4*g - 27 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5))**(1\/10)*n**(9\/2)*(n\/((n**(2\/3)\/n)\/n))\/n)**(-10\/11) assuming n is positive.\nAnswer: n**(-896\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -58 - 16 - 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -14*v**5 + 349*v**2\/2 - 227. What is the second derivative of g(x) wrt x?\nAnswer: -840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*v + 20, 5*v - 3*g - 228 = -201 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 255, 414, 637, 924?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 - 4*b. Let w be 16\/36*3*3. Suppose 4*i = -w*g + 4 + 4, -5 = -5*g. Let u(j) = -j + 2*j**2 - j**3 - 2*j**2. What is i*f(k) - 4*u(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 5*l + 4. Suppose 0*y = -2*y - 12. Let q be p(y). What is the highest common divisor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 0 - s - 4.\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1540 and 5940.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3*h + 4*h)*(h + 2*h - 5*h) + (2*h + 2*h - 6*h)*(-4*h - h - 2*h) + 2*h**2 - h**2 - 2*h**2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*q**2 + 50*q**2 - 10*q + 11*q**2 - 2*q**2 + 54*q**2 as a*q**2 + m + s*q and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 24, 37, 50?\n\"Answer: 13*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 1860885?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 58\/(-5 + 7)*4. Let m = r - 113. Factor 2\/11*b**2 + 6\/11*b**m + 0 + 0*b.\nAnswer: 2*b**2*(3*b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 4*a**2 + a + 6. Let x be f(3). Let h(k) = -k**2 - 10*k - 2. Let b(z) = -3*z**2 - 30*z - 7. Let u(o) = -3*b(o) + 8*h(o). Calculate u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 5*z + 9. Let o be m(-3). Suppose -5*g - 26 = 3*c, -5*c - o = -2*g - 1. Is 8 a factor of g*15\/20*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**2\/2 + 2*g + 2653. Let k(b) = -4*b**2. Let n(p) = -p**2. Let m(w) = -6*k(w) + 21*n(w). What is m(r(v))?\nAnswer: 27*v**2 + 36*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s. Let l be -879*(3 + 40\/(-15)) + 5. Let o(x) = 128*x**2 - 144*x. Calculate l*q(p) - 2*o(p).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 78*z + 161. Let q be k(-80). Let o(f) = -f**2 + 1. Let x be o(-1). Let y be x\/(3*(-4)\/(-6)). Put y, 2, q in increasing order.\nAnswer: y, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 5. Let h be j(-4). What is the remainder when -45*h*3\/(-9) is divided by (-4)\/(-10) - (-38)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 5*u - 4*u - 9 - 2*u - u. Let p be 2*(21\/2)\/3 - -3. What is b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcpc when four letters picked without replacement from {p: 1, m: 1, c: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -54, -66, -60, -30?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t**2 + t + 1. Let o(h) = -8*h**2 - 6*h. Let z(m) = -o(m) - 2*q(m). Let r be z(5). Let y = -33 - r. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1502864 and -125\/2112.\nAnswer: 18034368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 + 7*p - 5. Let i be o(1). Let a(z) = -2*z**3 - 5*z**2 - 7*z + 1. Let n(d) = 3*d**3 + 8*d**2 + 11*d - 2. What is i*n(x) - 8*a(x)?\nAnswer: x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxxnxnxxaac. Give prob of sequence ca.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 15*t - 8. Let l be h(14). Suppose l*g = 4*g + 100. Calculate the remainder when g is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -1508.\nAnswer: 21112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -932, -947, -974, -1013, -1064, -1127?\n\"Answer: -6*q**2 + 3*q - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -386, 150, 1038, 2272, 3846, 5754?\n\"Answer: -n**3 + 182*n**2 - 3*n - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 2*l - 2*l + (3*l + 0*l + 2*l)*(-2 + 1 + 5) to f + k*l and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-72)*28*(-5)\/5)\/(3\/(-45)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -278722+7.1\nAnswer: -278714.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q - 3*y - 17, 2*q - 3*y = 11. Let h be -1*-2*(0 - q). Suppose 66 - 50 = h*p. Solve -p*t + 3*i + 11 = 0, -3*i + 0 = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9731, 8944, 8157, 7370?\n\"Answer: -787*f + 10518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238737 - 101620. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13933938*u**2. Let y(g) = 2*g. Calculate b(y(r)).\nAnswer: 55735752*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = n + 8, -7 = -4*y - 8*n + 7*n. What is the highest common factor of 17 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j - 87 = -a, 4*a + 5*j - 375 = 0. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(-1\/10)*v**(-9)*v*v\/v**7 assuming v is positive.\nAnswer: v**(-279\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 7*a**2 - 2. Let j be w(-7). Let m(l) = -27*l + 1. Let b be m(j). Suppose -u = -4 - b. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5\/5 - 793821*b**4\/5 - 2381373*b**3 - 11906715*b**2 - 19844400*b.\nAnswer: -3*b*(b + 5)**3*(b + 264592)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:22 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-8) + (4 - 2))*626\/(-939).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100010011 (base 2) to base 3.\nAnswer: -12021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98234 divided by -98234\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -125399477.65 to the nearest one thousand.\nAnswer: -125399000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15102029 is divided by 19664.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4139*n**5 - 55*n**4 - 2*n - 422637.\nAnswer: -82780*n**3 - 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9810 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5938 is divided by 886.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 38776153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4550\/211 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f - 2*f**5 + 14*f + 3*f - 3*f**5 - 4*f + 2*f**5 + 0*f + 0*f - f**5 - 6*f**5 + 2*f**5 + 3*f**5 + (4 - 2*f**2 - 4)*(-2*f**3 + f**3 - f**3).\nAnswer: -f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-616)\/(-132) - 2*(-2)\/12. Solve -3*x - 9 = -x - 3*r, -r = 2*x + z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h)*(-1 - 770*h + 1 - 1249*h).\nAnswer: 2019*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/2 - 24087*t\/2 - 20516892.\nAnswer: -3*(t + 2453)*(t + 5576)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0822 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218068709.\nAnswer: 41, 5318749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-16 - -31) + -13 + 12 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10460 and 99\/1682?\nAnswer: 8796860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -2\/11, -5, -0.1, -28356, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x - 7. Let w be a(6). Let q = 8 - w. Is 390\/20*(-10)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341941057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1110 * 0.3.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = -5*y, -5*s = -4*s + 3*y + 12. Let b(c) = -4*c**2 - 29 + 9*c**3 + 4*c - 18 + 39. What are the prime factors of b(s)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 186816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12 + 14 - 1 - 35*v - 7*v - 5. Let b = 4 + -7. Calculate the remainder when h(b) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 8*m = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3621 - -2754.52. Round c to the nearest integer.\nAnswer: -866","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.000378005*-5\nAnswer: -0.001890025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62125 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 6*y**2 + 7*y + 7. Let z = -25 + 29. Calculate the least common multiple of 75 and l(z).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303402615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -16672592.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108 - 19*t**4 - 23*t**4 + 3*t - 28*t**4 + 22*t**4 - 56 with respect to t.\nAnswer: -192*t**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7906 (b) -0.2 (c) -1 (d) -6 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*h + 8, 0*i - 4*i = -4*h. Solve -i*g - 10 = o - 2*o, -5*g = 2*o + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*j + 29 + 24 = 0, -4*r + 2*j + 66 = 0. What is the closest to 1\/5 in 1, r, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47438494*a**3 + 69543064*a wrt a?\nAnswer: -284630964*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i - 15*i - 25*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33520.0066796 - 33520. Round u to four dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -0.71, -0.2, -1, -4, 31\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 5*d**2 - 2*d**2)*(d + 2*d - 2*d) + (-4*d**2 - d**2 + 2*d**2)*(-5*d + 3*d + 5*d) + 2*d**3 + 6*d**3 - 5*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 3*w**2 - 5*w + 3. Let r be q(1). Find the second derivative of 12*u**r + 2324 - 2324 + 33*u + 61*u**3 wrt u.\nAnswer: 438*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(2\/7 - 4\/(-35)). Let x be (d\/(-4))\/(17\/34). Solve -3*j - q = 3 + 4, -3 = -3*j - x*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5*o**3 + 74*b**4*o**3 - 2*b*o**3 - 21*b + 3*o**2 wrt b?\nAnswer: 60*b**3*o**3 + 888*b**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -5 (b) -0.2 (c) 491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t. Let f(x) = -216 + 216 + 3*x**2. Calculate f(u(i)).\nAnswer: 147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 107185 = 9*n - 2*p, n = -2*p + 35723. What are the prime factors of n?\nAnswer: 3, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**3*f - c**3 + 974*f**3 - 1166 wrt f?\nAnswer: -2*c**3 + 2922*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 85. Let y(r) = -2*r**3 + 14*r**2 + 15*r + 4. Let o be y(t). Let x(a) = 3*a - 5. What is x(o)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o + 5. Let w(m) = 3*m + 2. Let r(p) = -4*j(p) + 9*w(p). Let y be r(-9). Suppose 0 = 4*t + 4*c - 28, c - y = -5*t + 8. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**4 - 2*b**4 + 4*b**3 + 9 + 36288*b**2 - 36286*b**2 + 2*b**4 to t*b + s*b**4 + y + k*b**2 + x*b**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 2*c**2 + 4 + 3*c**2 + 4*c + 80*c**3 - 159*c**3 - 7*c**4 + 80*c**3 to n*c**3 + p*c + u + h*c**2 + z*c**4 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -114 + (204 - 181).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-22)*(8\/(-11))\/((-804)\/1474). Is q smaller than 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30039 by -969.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.84 from 554.\nAnswer: 553.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d - 4*r + 16, 0 = -3*r + 12. Suppose d = 5*y + 13 - 58. Let b = 15 - y. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/5)*z)\/(z\/(z\/(z\/(z**(-2)*z)*z)))*(z**(-1))**(19\/4) assuming z is positive.\nAnswer: z**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21957 is divided by 278?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = -31*o + 66. Let s be 3\/1*2\/3. What is the greatest common divisor of s and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3173.34498 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:59 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 19, -421, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165970, -332210, -498450, -664690?\nAnswer: -830930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 4*w - 7. Let v be z(3). Let x = -22.73 + 21.73. What is the second smallest value in x, 0, v, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52170, 88078, 123986, 159894, 195802?\nAnswer: 231710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4\/5 - 282*v**3\/5 - 722*v**2\/5 - 582*v\/5 - 146\/5 = 0. Calculate v.\nAnswer: -1, -1\/2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*h + 2 = 0, 0 = 4*f - 3*h - 2*h - 10. Suppose 64 - 19 = f*n. Solve -2*w + t = -n, 5*t = -w + 4*t + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 90, 86, 96, 132, 206?\n\"Answer: 2*o**3 - 5*o**2 - 3*o + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 21*s - 21. Let h be z(-8). Solve -3*x + 3*n + 32 = 8, 0 = h*x + 2*n + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (30 + -51 + 41)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 350\/(0 + 1)*10000. Round l to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -21\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21809\/3 + 7268. Suppose 0 = b - 2*b - 22. What is the biggest value in -4, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**3 - 5*h**2 - 6*h + 5. Let c(w) = 5*w**3 - 4*w**2 - 7*w + 4. Determine 5*c(x) - 4*l(x).\nAnswer: x**3 - 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151599816 is divided by 585?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 22. Let h be r(-20). Suppose 11 = 4*p + 5*m, -5*p - 2*m + 25 = 7. Suppose -x = 2*x + 6. Put h, x, p in ascending order.\nAnswer: x, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/84)\/(2*15\/126).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g - 167*g - 277*g.\nAnswer: -531*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {p: 2, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 13 + 2*m**2 + 37 + 30*m - 4 + 37.\nAnswer: 2*(m + 2)*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 37*g**2 + 2*g - 55. Is r(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/5)\/(z\/(z*z**(3\/7))*z)*((z*z**(-1\/3))\/z)**(11\/4) assuming z is positive.\nAnswer: z**(-37\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/5 + 56*d**2\/5 + 742*d\/5 + 684\/5 = 0 for d.\nAnswer: -9, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -2 - (28 + (1 - 23) + 55)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-39)\/(-4) - 0)\/(5\/(-160)*12). Sort i, -8, -1.\nAnswer: i, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -10.76?\nAnswer: 21.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 + -19 - (0 + -90) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 + 0.2. Let q = -2.9 + -0.1. Let r = 2 - 0. Put r, q, a in ascending order.\nAnswer: q, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*s - 3940 + 45092, -41185 = -4*f + 7*s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}